https://vidert.com/v/math-education/video/19452/the-original-biggest-numbers-numberphile 2026-03-31T15:09:29.000Z weekly 0.5 https://i.ytimg.com/vi/sJqceEImtew/maxresdefault.jpg The Original Biggest Numbers - Numberphile Richard Elwes discusses the original Big Numbers... long before the likes of Graham's Number and Tree(3). They are epic. More links & stuff in full description below ↓↓↓ More Richard on Numberphile: https://www.youtube.com/playlist?list=PLt5AfwLFPxWI42WXh1jnv51jHrcjatrk8 More big numbers on Numberphile: https://www.youtube.com/playlist?list=PLt5AfwLFPxWJ_FwchNAjB3xa8UnoKdmQI More about Richard Elwes (who is based at the University of Leeds): https://richardelwes.co.uk/ Richard's new book Huge Numbers Waterstones (UK): https://www.waterstones.com/book/huge-numbers/richard-elwes/9781399818827 Barnes and Noble (US): https://www.barnesandnoble.com/w/huge-numbers-richard-elwes/1147952914 Or Amazon (affiliate links)... UK: https://amzn.to/4bSZA8v US: https://amzn.to/4v3CIMp Here's the mega zoom of Patreon names: https://www.patreon.com/posts/154415033 Patreon: http://www.patreon.com/numberphile Numberphile is supported by Jane Street. Learn more about them (and exciting career opportunities) at: https://bit.ly/numberphile-janestreet We are also grateful for support from the Ben Delo Foundation - https://delo.org/ NUMBERPHILE Website: http://www.numberphile.com/ Video by Brady Haran and Pete McPartlan Numberphile T-Shirts and Merch: https://teespring.com/stores/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9 https://www.youtube.com/embed/sJqceEImtew 2026-03-31T15:09:29.000Z Numberphile 1259 yes no https://vidert.com/v/math-education/video/19413/can-we-have-a-right-triangle-with-sides-1-x-and-x-2-but-the-hypotenuse-is-x 2026-03-31T12:01:09.000Z weekly 0.5 https://i.ytimg.com/vi/Av-_6GRiPL0/maxresdefault.jpg Can we have a right triangle with sides 1, x and x^2 (but the hypotenuse is x) Just a quick, fun triangle question that I came up with a few days ago: Can we have a right triangle with sides 1, x, and x^2 BUT the hypotenuse is x? 🛍 Shop my math t-shirts & hoodies: 👉 https://amzn.to/3qBeuw6 👉 Support this channel and get more content https://www.patreon.com/blackpenredpen #blackpenredpen #calculus https://www.youtube.com/embed/Av-_6GRiPL0 2026-03-31T12:01:09.000Z blackpenredpen 328 yes no https://vidert.com/v/math-education/video/18786/escher-s-most-mind-bending-piece 2026-03-27T20:56:02.000Z weekly 0.5 https://i.ytimg.com/vi/Y7ImxZ_YhJk/maxresdefault.jpg Escher's most mind-bending piece On "The Print Gallery", by M.C. Escher Full video: https://youtu.be/ldxFjLJ3rVY https://www.youtube.com/embed/Y7ImxZ_YhJk 2026-03-27T20:56:02.000Z 3Blue1Brown 103 yes no https://vidert.com/v/math-education/video/18416/so-i-tried-integration-by-parts-solved-another-integral-instead 2026-03-26T15:41:46.000Z weekly 0.5 https://i.ytimg.com/vi/agZ7jYkwtDE/maxresdefault.jpg So I tried integration by parts (solved another integral instead!) I was trying to use integration by parts for the integral of 1/sqrt(x^2+16), but I ended up getting the answer for the integral of 1/(x^2+16)^(3/2) instead! Integral of 1/sqrt(x^2+16) using trig sub vs hyperbolic sub: https://youtu.be/YfrcIwdOC0U 🛍 Shop my math t-shirts & hoodies: 👉 https://amzn.to/3qBeuw6 👉 Support this channel and get more content https://www.patreon.com/blackpenredpen #blackpenredpen #calculus https://www.youtube.com/embed/agZ7jYkwtDE 2026-03-26T15:41:46.000Z blackpenredpen 377 yes no https://vidert.com/v/math-education/video/17438/this-picture-broke-my-brain 2026-03-22T12:59:00.000Z weekly 0.5 https://i.ytimg.com/vi/ldxFjLJ3rVY/maxresdefault.jpg This picture broke my brain Escher's Print Gallery, and the tour of complex analysis it invites. Check out our virtual career fair: 3b1b.co/talent Join channel supporters to see videos early: 3b1b.co/support An equally valuable form of support is to share the videos. Home page: https://www.3blue1brown.com Original paper by de Smit and Lenstra: https://pub.math.leidenuniv.nl/~smitbde/papers/2003-de_smit-lenstra-escher.pdf Co-written by Paul Dancstep, who handled many of the animations in the art section, including the delightful mesh warp scene. Aaron Gostein helped with the manim animations in the section introducing complex functions. Artwork provided by Talia Gerhson, Mitchell Zemil, and Anna Fedczuk. Music by Vincent Rubinetti Timestamps: 0:00 - The print gallery 13:04 - Conformal maps from complex analysis 21:41 - The complex exponential 25:56 - The complex logarithm 32:32 - 3b1b Talent 33:14 - Constructing the key function 40:16 - The deeper math behind Escher ------------------ These animations are largely made using a custom Python library, manim. See the FAQ comments here: https://3b1b.co/faq#manim ------------------ 3blue1brown is a channel about animating math, in all senses of the word animate. If you're reading the bottom of a video description, I'm guessing you're more interested than the average viewer in lessons here. It would mean a lot to me if you chose to stay up to date on new ones, either by subscribing here on YouTube or otherwise following on whichever platform below you check most regularly. Mailing list: https://3blue1brown.substack.com Twitter: https://twitter.com/3blue1brown Bluesky: https://bsky.app/profile/3blue1brown.com Instagram: https://www.instagram.com/3blue1brown Reddit: https://www.reddit.com/r/3blue1brown Facebook: https://www.facebook.com/3blue1brown Patreon: https://patreon.com/3blue1brown Website: https://www.3blue1brown.com https://www.youtube.com/embed/ldxFjLJ3rVY 2026-03-22T12:59:00.000Z 3Blue1Brown 2692 yes no https://vidert.com/v/math-education/video/17283/bacteria-grid-puzzle-solution 2026-03-21T11:42:53.000Z weekly 0.5 https://i.ytimg.com/vi/Qoes9bTJtn0/maxresdefault.jpg Bacteria Grid Puzzle Solution Part of a monthly series of puzzlers, in collaboration with MoMath and Peter Winkler https://www.youtube.com/embed/Qoes9bTJtn0 2026-03-21T11:42:53.000Z 3Blue1Brown 180 yes no https://vidert.com/v/math-education/video/16798/the-weather-equation-numberphile 2026-03-18T16:01:49.000Z weekly 0.5 https://i.ytimg.com/vi/YmZiq00CO60/maxresdefault.jpg The Weather Equation - Numberphile Chief Meteorologist Dan Harris discusses (at length) one of the most famous equations in weather forecasting - the Quasi Geostrophic Omega Equation. More links & stuff in full description below ↓↓↓ Catch our podcast with Dan on podcast players or here on YouTube - https://youtu.be/lnARyhaqMvU Dan works for the Met Office as a chief meteorologist - https://www.metoffice.gov.uk/ Check out some Met Office archive stuff at Brady's Objectivity channel - https://www.youtube.com/playlist?list=PLd5y2WfrtsPrauSfrdFfkE7iZ-KG9pCzO Weather videos on Brady's Sixty Symbols channel - https://www.youtube.com/playlist?list=PLcUY9vudNKBNpsv8AWUvJxbOl6S2pw8so Navier-Stokes Equation video - https://www.youtube.com/watch?v=ERBVFcutl3M Dan's website - https://www.roostweather.com/ Patreon: http://www.patreon.com/numberphile Numberphile is supported by Jane Street. Learn more about them (and exciting career opportunities) at: https://bit.ly/numberphile-janestreet We are also grateful for support from the Ben Delo Foundation - https://delo.org/ NUMBERPHILE Website: http://www.numberphile.com/ Video by Brady Haran and Pete McPartlan Numberphile T-Shirts and Merch: https://teespring.com/stores/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9 https://www.youtube.com/embed/YmZiq00CO60 2026-03-18T16:01:49.000Z Numberphile 2652 yes no https://vidert.com/v/math-education/video/15609/finding-the-volume-of-a-4d-sphere 2026-03-17T18:08:33.000Z weekly 0.5 https://i.ytimg.com/vi/Zx0WC_R3-7w/maxresdefault.jpg Finding the "volume" of a 4d sphere We will find the volume of a 4d sphere using a quadruple integral! This is called a hypersphere and has the equation x^2+y^2+z^2+w^2=R^2. And yes, there's also the hyperspherical coordinates that we could use, but I will do that in a future video. Read more on https://en.wikipedia.org/wiki/N-sphere 🛍 Shop my math t-shirts & hoodies: 👉 https://amzn.to/3qBeuw6 👉 Support this channel and get more content https://www.patreon.com/blackpenredpen #blackpenredpen #calculus https://www.youtube.com/embed/Zx0WC_R3-7w 2026-03-17T18:08:33.000Z blackpenredpen 927 yes no https://vidert.com/v/math-education/video/15608/my-first-triple-improper-integral-via-spherical-coordinates 2026-03-17T18:08:21.000Z weekly 0.5 https://i.ytimg.com/vi/8cQcnKnKufM/maxresdefault.jpg My first triple improper integral via spherical coordinates We will solve a fun calculus 3 triple integral of sqrt(x^2+y^2+z^2)*e^-(x^2+y^2+z^2) from -inf to inf. Make sure you know how to convert rectangular coordinates into spherical coordinates. Related videos https://youtu.be/_7Gt3Lla1pk?si=EQJ6_P7jbvncU-bU https://www.youtube.com/watch?v=uL_yq733CTY https://www.youtube.com/watch?v=u3LFnfZbkk0 🛍 Shop my math t-shirts & hoodies: 👉 https://amzn.to/3qBeuw6 👉 Support this channel and get more content https://www.patreon.com/blackpenredpen #blackpenredpen #calculus https://www.youtube.com/embed/8cQcnKnKufM 2026-03-17T18:08:21.000Z blackpenredpen 594 yes no https://vidert.com/v/math-education/video/15607/this-calculus-proof-is-only-for-math-majors-national-taiwan-university-entrance- 2026-03-17T18:08:07.000Z weekly 0.5 https://i.ytimg.com/vi/s3ysYpb2Zqw/maxresdefault.jpg This calculus proof is only for math majors (National Taiwan University entrance exam) Here's a fun calculus proof from the National Taiwan University entrance exam for transfer students. We will show that If f(0)=0 and abs(f'(x)) is less than or equal to abs(f(x)), then f(x)=0 on [0, 1/2]. The key to solving this problem is to apply the Mean Value Theorem and the Extreme Value Theorem. Try the test https://exam.lib.ntu.edu.tw/sites/default/files/exam/undergra/103/18_001-103.pdf 🛍 Shop my math t-shirts & hoodies: 👉 https://amzn.to/3qBeuw6 👉 Support this channel and get more content https://www.patreon.com/blackpenredpen #blackpenredpen #calculus https://www.youtube.com/embed/s3ysYpb2Zqw 2026-03-17T18:08:07.000Z blackpenredpen 839 yes no https://vidert.com/v/math-education/video/15606/is-x-0-solvable 2026-03-17T18:07:53.000Z weekly 0.5 https://i.ytimg.com/vi/iOgtEbdb1UI/maxresdefault.jpg Is x! = 0 solvable? We know that zero factorial is equal to 1, i.e. 0!=1, but can we solve the equation x factorial is equal to 0, i.e., x!=0? We will use the regular definition of n factorial, as well as the integration extension of the factorial to see if x!=0 is possible or not. Note that although the graph of y=x! does NOT cross the x-axis, we cannot say x!=0 because of that. Think about x^2+1=0 has complex solutions. So, is there any solution? Check out can x^x=0? https://youtu.be/s4YHRtvOVB4?si=wiIPlvXtjEQOe1r5 🛍 Shop my math t-shirts & hoodies: 👉 https://amzn.to/3qBeuw6 👉 Support this channel and get more content https://www.patreon.com/blackpenredpen #blackpenredpen #calculus https://www.youtube.com/embed/iOgtEbdb1UI 2026-03-17T18:07:53.000Z blackpenredpen 485 yes no https://vidert.com/v/math-education/video/15605/volume-of-revolution-single-integral-vs-triple-integral 2026-03-17T18:07:26.000Z weekly 0.5 https://i.ytimg.com/vi/wd2doEmaf4Q/maxresdefault.jpg Volume of revolution (single integral vs triple integral) We will find the volume of revolution of the solid generated by rotating the region bounded by y=x^2, y=9, x=0, about the y-axis. This is a typical calculus 1 problem but today we will make it 3x more fun (and get calculus 3). 🛍 Shop my math t-shirts & hoodies: 👉 https://amzn.to/3qBeuw6 👉 Support this channel and get more content https://www.patreon.com/blackpenredpen #blackpenredpen #calculus https://www.youtube.com/embed/wd2doEmaf4Q 2026-03-17T18:07:26.000Z blackpenredpen 855 yes no https://vidert.com/v/math-education/video/15604/a-lovely-calculus-proof-problem-national-taiwan-university-entrance-exam 2026-03-17T18:07:12.000Z weekly 0.5 https://i.ytimg.com/vi/eLTbTIZ-ges/maxresdefault.jpg A lovely calculus proof problem! (National Taiwan University entrance exam) Let's tackle the first calculus question on a National Taiwan University transfer entrance exam. We have f and g being differential functions and d/dx(f(x))=-g(x) and d/dx(xg(x))=xf(x) and we'll show that f and g have "interlacing zeroes". Try the rest of the exam here https://www.lib.ntu.edu.tw/exam/undergra/98/98018.pdf 🛍 Shop my math t-shirts & hoodies: 👉 https://amzn.to/3qBeuw6 👉 Support this channel and get more content https://www.patreon.com/blackpenredpen #blackpenredpen #calculus https://www.youtube.com/embed/eLTbTIZ-ges 2026-03-17T18:07:12.000Z blackpenredpen 631 yes no https://vidert.com/v/math-education/video/15603/how-math-majors-use-the-intermediate-value-theorem 2026-03-17T18:06:58.000Z weekly 0.5 https://i.ytimg.com/vi/Xk6OOhYIZm0/maxresdefault.jpg How math majors use the intermediate value theorem! Let f be a continuous function on [0, 1] and f(0)=f(1). Show that, for n=2, 3, 4, ..., there is some a in [0, 1-1/n] such that f(a)=f(a+1/n). Learn how to use the Intermediate Value Theorem to prove the above statement. This question appears on the transfer entrance exam at National Taiwan Univiersity: https://exam.lib.ntu.edu.tw/sites/default/files/exam/undergra/102/102018.pdf 🛍 Shop my math t-shirts & hoodies: 👉 https://amzn.to/3qBeuw6 👉 Support this channel and get more content https://www.patreon.com/blackpenredpen #blackpenredpen #calculus https://www.youtube.com/embed/Xk6OOhYIZm0 2026-03-17T18:06:58.000Z blackpenredpen 1141 yes no https://vidert.com/v/math-education/video/15602/brilliant-minimum-problem 2026-03-17T18:06:43.000Z weekly 0.5 https://i.ytimg.com/vi/zOLroDOZaIg/maxresdefault.jpg Brilliant minimum problem Learn math with Brilliant! Click https://brilliant.org/blackpenredpen/ and get a 30-day FREE trial plus 20% off your annual premium subscription! Can we find the minimum value of sqrt(x^2-12x+4)+sqrt(x^2+y^2)+sqrt(y^2-8y+2)? This question is from Threads, https://www.threads.com/@johnny04060406/post/DTNoxYICenC?xmt=AQF0H5oQsFM3x5tCu9nt8uDfkY_XOtSHbOXUqLrLydbJLoJp0P5O7Ytjkrxvh1gkCPAilNh5&slof=1 🛍 Shop my math t-shirts & hoodies: 👉 https://amzn.to/3qBeuw6 👉 Support this channel and get more content https://www.patreon.com/blackpenredpen #mathtutorial #blackpenredpen https://www.youtube.com/embed/zOLroDOZaIg 2026-03-17T18:06:43.000Z blackpenredpen 704 yes no https://vidert.com/v/math-education/video/15601/so-you-want-the-gaussian-integral-trick-again 2026-03-17T18:06:31.000Z weekly 0.5 https://i.ytimg.com/vi/NdaxzAl3eQI/maxresdefault.jpg So you want the Gaussian integral trick again? To me, the Gaussian integral (i.e. the integral of e^(-x^2) from neg inf to pos inf) is the greatest integral of all time (because of how genius the polar coordinate solution is!). I have been wondering if there's another integral that requires a similar approach. After many tries, I came up with a double integral example! Enjoy! Related videos https://youtu.be/r-38iiWg1vo?si=xQSgLvO7W54HNSai https://www.youtube.com/watch?v=7kvxMrbPvhs https://www.youtube.com/watch?v=tCPQSobqFh4 🛍 Shop my math t-shirts & hoodies: 👉 https://amzn.to/3qBeuw6 👉 Support this channel and get more content https://www.patreon.com/blackpenredpen #blackpenredpen #maths #calculus #mathtutorial https://www.youtube.com/embed/NdaxzAl3eQI 2026-03-17T18:06:31.000Z blackpenredpen 810 yes no https://vidert.com/v/math-education/video/15600/why-do-mathematicians-think-disc-square 2026-03-17T18:06:19.000Z weekly 0.5 https://i.ytimg.com/vi/h5zLGyDxgFQ/maxresdefault.jpg Why do mathematicians think disc=square? @drpeyam “This problem will make you reconsider what a disc actually is!” This is a fun discussion with Dr. Peyam on a classic topology problem. Is a disc same as a square? How about an equilateral triangle? #blackpenredpen #maths https://www.youtube.com/embed/h5zLGyDxgFQ 2026-03-17T18:06:19.000Z blackpenredpen 394 yes no https://vidert.com/v/math-education/video/15599/how-to-welcome-a-math-phd-friend-at-the-airport 2026-03-17T18:06:06.000Z weekly 0.5 https://i.ytimg.com/vi/I5nXBEni8mY/maxresdefault.jpg How to welcome a math Phd friend at the airport Dr Peyam is visiting Taiwan and this is how I welcomed him! @drpeyam We will investigate if the function f, defined from Q to R, such that f(x)=1 if x^2 is greater than 2 and f(x)=0 if x^2 is less than 2, is continuous or not. At first you might think f is discontinuous since there are jumps at x=+-sqrt(2), but we have to watch out for the domain! Such a classic real analysis question: Source: https://www.reddit.com/r/askmath/s/cy1aeuquja Shop your εδ sweatshirt: https://a.co/d/5jqQrPm 👉 Support this channel and get more content https://www.patreon.com/blackpenredpen #calculus #blackpenredpen https://www.youtube.com/embed/I5nXBEni8mY 2026-03-17T18:06:06.000Z blackpenredpen 268 yes no https://vidert.com/v/math-education/video/15598/how-to-rigorously-prove-that-a-limit-is-wrong 2026-03-17T18:05:52.000Z weekly 0.5 https://i.ytimg.com/vi/ZiGLVQ-Jm0s/maxresdefault.jpg How to rigorously prove that a limit is WRONG! We will learn how to show a limit is WRONG by using the epsilon-delta definition. For this, we will need the negation of the epsilon-delta definition. To see how to show the limit of x^2 approaches 4 as x goes to 2: https://youtu.be/FobFTlT81W8 🛍 Shop your εδ sweatshirt: https://a.co/d/5jqQrPm 👉 Support this channel and get more content https://www.patreon.com/blackpenredpen #calculus #blackpenredpen https://www.youtube.com/embed/ZiGLVQ-Jm0s 2026-03-17T18:05:52.000Z blackpenredpen 914 yes no https://vidert.com/v/math-education/video/15597/can-f-x-f-1-x 2026-03-17T18:05:38.000Z weekly 0.5 https://i.ytimg.com/vi/dE1cl87Q-SQ/maxresdefault.jpg Can f'(x)=f^-1(x)? Learn math with Brilliant! Click https://brilliant.org/blackpenredpen/ and get 20% off your annual premium subscription. Can the derivative of a function equal the inverse of the function? This is a very interesting differential equation, and the answer even involves the golden ratio! 🛍 Shop my math t-shirt & hoodies: https://amzn.to/3qBeuw6 👉 Support this channel and get more content https://www.patreon.com/blackpenredpen #calculus #blackpenredpen #math https://www.youtube.com/embed/dE1cl87Q-SQ 2026-03-17T18:05:38.000Z blackpenredpen 631 yes no https://vidert.com/v/math-education/video/15596/simple-limit-but-most-students-cannot-prove-it 2026-03-17T18:05:25.000Z weekly 0.5 https://i.ytimg.com/vi/FNRVYMcsNfY/maxresdefault.jpg Simple limit but most students cannot prove it! Learn how to prove the limit of 1/x as x goes to 2 using the epsilon-delta definition. This is a must-know topic for university calculus students or math majors! If you want to use delta={1, something} https://youtu.be/Libkezn0lV0 🛍 Shop my math t-shirt & hoodies: https://amzn.to/3qBeuw6 👉 Support this channel and get more content https://www.patreon.com/blackpenredpen #blackpenredpen #calculus #math https://www.youtube.com/embed/FNRVYMcsNfY 2026-03-17T18:05:25.000Z blackpenredpen 765 yes no https://vidert.com/v/math-education/video/15595/how-to-find-a-delta-for-a-specific-epsilon-epsilon-delta-definition-of-a-limit 2026-03-17T18:05:11.000Z weekly 0.5 https://i.ytimg.com/vi/pk7vxTbKpxk/maxresdefault.jpg How to find a delta for a specific epsilon (epsilon-delta definition of a limit) Here's how to find a delta for a specific value of epsilon in the epsilon-delta definition of a limit. We will use the limit of x^2 as x goes to 2 as an example. Part 1: https://youtu.be/FobFTlT81W8 A special life update: https://www.patreon.com/posts/142823922 🛍 Get your limit definition sweatshirt: https://a.co/d/9vJbK0i 👉 Support this channel and get more content https://www.patreon.com/blackpenredpen https://www.youtube.com/embed/pk7vxTbKpxk 2026-03-17T18:05:11.000Z blackpenredpen 461 yes no https://vidert.com/v/math-education/video/15594/how-to-find-a-formula-for-delta-epsilon-delta-definition-of-a-limit 2026-03-17T18:04:56.000Z weekly 0.5 https://i.ytimg.com/vi/FobFTlT81W8/maxresdefault.jpg How to find a formula for delta (epsilon-delta definition of a limit) We will prove that the limit of x^2 is 4 as x goes to 2 with the epsilon-delta definition. We will also do it without the usual trick (setting deleta=min{1, something}). Will this be any easier? No. Here's part 2: https://youtu.be/pk7vxTbKpxk A special life update: https://www.patreon.com/posts/142823922 🛍 Get your limit definition sweatshirt: https://a.co/d/9vJbK0i 👉 Support this channel and get more content https://www.patreon.com/blackpenredpen https://www.youtube.com/embed/FobFTlT81W8 2026-03-17T18:04:56.000Z blackpenredpen 699 yes no https://vidert.com/v/math-education/video/15593/brilliant-trig-identity-challenge 2026-03-17T18:04:37.000Z weekly 0.5 https://i.ytimg.com/vi/39ZO90BkJoA/maxresdefault.jpg Brilliant Trig Identity Challenge! Enjoy learning math with Brilliant, click https://brilliant.org/blackpenredpen/ and get 20% off your annual premium subscription. Today, we will go through the trig identity lesson from Brilliant's contest math course. 0:56 sin^3(theta)*cos(theta)+sin(theta)*cos^3(theta)=? 2:45 cos(36 degrees)=? 6:30 Solve sin(theta)+cos(theta)=sqrt(6)/2 8:46 cos(1 deg)+cos(2 deg)+...+cos(360 deg)=? 10:53 cos(12 deg)*cos(24 deg)*cos(48 deg)*cos(96 deg)=? 17:06 A hard one! 22:03 You try this! 🛍 Shop my math t-shirt & hoodies: https://amzn.to/3qBeuw6 👉 Support this channel and get more content https://www.patreon.com/blackpenredpen https://www.youtube.com/embed/39ZO90BkJoA 2026-03-17T18:04:37.000Z blackpenredpen 1371 yes no https://vidert.com/v/math-education/video/15591/it-s-not-joke-it-s-rigorous-enough-for-physics 2026-03-17T18:04:21.000Z weekly 0.5 https://i.ytimg.com/vi/6JVsIwVQcpg/maxresdefault.jpg It’s not joke, it’s rigorous enough for physics… 😂 Learn more math with Brilliant, click https://brilliant.org/blackpenredpen/ and get 20% off your annual premium subscription. Let y=f(u) and u=g(x).We know that dy/dx = dy/du * du/dx by the chain rule. However, what if we had d^2y/dx^2? #calculus 🛍 Shop my math t-shirt & hoodies: https://amzn.to/3qBeuw6 👉 Support this channel and get more content https://www.patreon.com/blackpenredpen ---------------------------------------- https://www.youtube.com/embed/6JVsIwVQcpg 2026-03-17T18:04:21.000Z blackpenredpen 535 yes no https://vidert.com/v/math-education/video/15589/my-first-abstract-algebra-problem-in-14-years 2026-03-17T18:04:05.000Z weekly 0.5 https://i.ytimg.com/vi/EgO3GwZ07EA/maxresdefault.jpg My first abstract algebra problem in 14 years! Thankfully, I still remember some abstract algebra : ) We are going to show that in a group G, if a^2=1 for every a in G, then gh=hg for every g, h in G. This is a question from a viewer. ---------------------------------------- 🛍 Shop my math t-shirt & hoodies: https://amzn.to/3qBeuw6 👉 Support this channel and get more content https://www.patreon.com/blackpenredpen ---------------------------------------- A big thank you to my Tier 2 Patreon members for the support! Ben D Grant S MarkM Michael Z alexsendler48 Akemi H Jack P Highview B Camila B Archer Michelle L Emma Subotai B Zero Nerd Kian T Jason Kevin Y Ryan M kelvin P 형우 Sebastian C Erik P Joe A Mister H Nicholas W BABBA d VDPenny Torbjörn K Shy Ricardo M stephanie s Chris B ---------------------------------------- #blackpenredpen #math #calculus #mathtutorials https://www.youtube.com/embed/EgO3GwZ07EA 2026-03-17T18:04:05.000Z blackpenredpen 416 yes no https://vidert.com/v/math-education/video/15587/why-are-integrals-so-hard 2026-03-17T18:03:54.000Z weekly 0.5 https://i.ytimg.com/vi/jMOZoOJOrp8/maxresdefault.jpg Why are integrals so hard? I’ll share 5 reasons why integrals are so hard! In fact, way harder than derivatives! This is the biggest question that every calculus student has to face, especially when they study calculus 2. Also, check out my practice quizzes and exams to test your understanding before your actual school tests: https://www.patreon.com/collection/1716951 🛍 Get my "Ultimate Calc 2 Integral Sweatshirt": https://a.co/d/4JLhJcr 👉 Support this channel and get more content https://www.patreon.com/blackpenredpen ---------------------------------------- A big thank you to my Tier 2 Patreon members for the support! Ben D Grant S MarkM Michael Z alexsendler48 Akemi H Jack P Highview B Camila B Archer Michelle L Emma Subotai B Zero Nerd Kian T Jason Kevin Y Ryan M kelvin P 형우 Sebastian C Erik P Joe A Mister H Nicholas W BABBA d VDPenny Torbjörn K Shy Ricardo M stephanie s Chris B ---------------------------------------- #blackpenredpen #math #calculus #mathtutorials https://www.youtube.com/embed/jMOZoOJOrp8 2026-03-17T18:03:54.000Z blackpenredpen 701 yes no https://vidert.com/v/math-education/video/15584/can-x-y-yx 2026-03-17T18:03:32.000Z weekly 0.5 https://i.ytimg.com/vi/0qpSUboriG8/maxresdefault.jpg Can x^y=yx? We will investigate this interesting equation: x^y=yx. All solutions to x^y=y^x: https://youtu.be/PI1NeGtJo7s?si=_IQ5_BN8K8RcsoVz 🛍 Shop my math t-shirt & hoodies: https://amzn.to/3qBeuw6 👉 Support this channel and get more content https://www.patreon.com/blackpenredpen ---------------------------------------- A big thank you to my Tier 2 Patreon members for the support! Ben D Grant S MarkM Michael Z alexsendler48 Akemi H Jack P Highview B Camila B Archer Michelle L Emma Subotai B Zero Nerd Kian T Jason Kevin Y Ryan M kelvin P 형우 Sebastian C Erik P Joe A Mister H Nicholas W BABBA d VDPenny Torbjörn K Shy Ricardo M stephanie s Chris B ---------------------------------------- #blackpenredpen #math #calculus #mathtutorials https://www.youtube.com/embed/0qpSUboriG8 2026-03-17T18:03:32.000Z blackpenredpen 442 yes no https://vidert.com/v/math-education/video/15581/how-many-square-roots-does-the-2x2-zero-matrix-have 2026-03-17T18:03:19.000Z weekly 0.5 https://i.ytimg.com/vi/wRy5ExEYEBE/maxresdefault.jpg How many square roots does the 2x2 zero matrix have? Learn more math with Brilliant, click https://brilliant.org/blackpenredpen/ and get 20% off your annual premium subscription. We know the square root of 0 is equal to 0, but what if we had the square root of the 2 by 2 zero matrix? This will actually give us infinitely many answers! Let's see how to find out the general form of a 2 by 2 zero matrix. 🛍 Shop my math t-shirt & hoodies: https://amzn.to/3qBeuw6 👉 Support this channel and get more content https://www.patreon.com/blackpenredpen ---------------------------------------- A big thank you to my Tier 2 Patreon members for the support! Ben D Grant S MarkM Michael Z alexsendler48 Akemi H Jack P Highview B Camila B Archer Michelle L Emma Subotai B Zero Nerd Kian T Jason Kevin Y Ryan M kelvin P 형우 Sebastian C Erik P Joe A Mister H Nicholas W BABBA d VDPenny Torbjörn K Shy Ricardo M stephanie s Chris B ---------------------------------------- #blackpenredpen #math #calculus #mathtutorials https://www.youtube.com/embed/wRy5ExEYEBE 2026-03-17T18:03:19.000Z blackpenredpen 579 yes no https://vidert.com/v/math-education/video/15576/factoring-a-trinomial-what-i-learned-in-taiwan-vs-in-us 2026-03-17T18:02:53.000Z weekly 0.5 https://i.ytimg.com/vi/VaisiQxuTVY/maxresdefault.jpg Factoring a trinomial (what I learned in Taiwan vs in US) We will compare the methods for factoring a quadratic trinomial ax^2+bx+c that I learned in Taiwan vs in the United States. We will go over a total of 5 different methods, and the last one is my go-to! Let me know what your favorite one is! Support this channel and get more content 👉 https://www.patreon.com/blackpenredpen ---------------------------------------- Big thanks to my Patrons for the full-marathon support! Ben D, Grant S, Mark M, Phillippe S. Michael Z, Jan P. Devun C. Stefan C. Ethan BW Didion S. NN Minkyu Y Brandon F Levon M shortsleeve Jack P Gabriel G Yeeted C David H Mateo F Emma M Eden E Minicat Jose R Nicholas Fey Tyler B Lucas W Ahmet Ö An R Camila L Luupo Farrah Batman 1127 Mathguru Дмитрий П. Michelle L. Alin V. Archer. L Ali. Subotai B. Spencer A. Chris Jason B. Ou S. Nuddi M. Jackson M. Jordan T. Gregorio B. Omkar N. John D. Zero Jeffrey C J D Chaz W. Ryan Turbo S Arcana Rehan M Lukasz M NaiKang W Kevin Y Gamesh K kelvin P 형우 박 Minda W Erik P Sebastian C Ryan M Billy J Kian S Stormm HOm3l3ss b Nathan Y Aidyn R ---------------------------------------- 🛍 Shop my math t-shirt & hoodies: https://amzn.to/3qBeuw6 ---------------------------------------- #blackpenredpen #math #calculus #mathtutorials https://www.youtube.com/embed/VaisiQxuTVY 2026-03-17T18:02:53.000Z blackpenredpen 658 yes no https://vidert.com/v/math-education/video/15575/here-s-how-i-would-solve-this-high-school-math-question-without-calculus-finding 2026-03-17T18:02:36.000Z weekly 0.5 https://i.ytimg.com/vi/QrAgHNos3Xs/maxresdefault.jpg Here's how I would solve this high school math question without calculus (finding extrema of trig) See how to use Cauchy-Schwarz Ineq for this question (w/ written solution if you prefer reading it) here: https://www.patreon.com/posts/135937876 Here's a method for finding the minimum and maximum values of a rational function that high school students in Taiwan need to know. We will see how to find the extrema of the function f(x)=(1+2sin(2x))/(4-cos(2x)). Here's how I would solve this extrema question without calculus! Featuring the Weierstrass Substitution & the discriminant of a quadratic equation. This question is from Dcard: https://www.dcard.tw/f/math/p/259454265?cid=43b70891-4e7a-4920-a60d-6b3aa20cf791 Support this channel and get more content 👉 https://www.patreon.com/blackpenredpen ---------------------------------------- Big thanks to my Patrons for the full-marathon support! Ben D, Grant S, Mark M, Phillippe S. Michael Z, Jan P. Devun C. Stefan C. Ethan BW Didion S. NN Minkyu Y Brandon F Levon M shortsleeve Jack P Gabriel G Yeeted C David H Mateo F Emma M Eden E Minicat Jose R Nicholas Fey Tyler B Lucas W Ahmet Ö An R Camila L Luupo Farrah Batman 1127 Mathguru Дмитрий П. Michelle L. Alin V. Archer. L Ali. Subotai B. Spencer A. Chris Jason B. Ou S. Nuddi M. Jackson M. Jordan T. Gregorio B. Omkar N. John D. Zero Jeffrey C J D Chaz W. Ryan Turbo S Arcana Rehan M Lukasz M NaiKang W Kevin Y Gamesh K kelvin P 형우 박 Minda W Erik P Sebastian C Ryan M Billy J Kian S Stormm HOm3l3ss b Nathan Y Aidyn R ---------------------------------------- 🛍 Shop my math t-shirt & hoodies: https://amzn.to/3qBeuw6 ---------------------------------------- #blackpenredpen #math #calculus #mathtutorials https://www.youtube.com/embed/QrAgHNos3Xs 2026-03-17T18:02:36.000Z blackpenredpen 485 yes no https://vidert.com/v/math-education/video/15572/believe-in-cauchy-schwarz-inequality-not-calculus-3 2026-03-17T18:02:20.000Z weekly 0.5 https://i.ytimg.com/vi/F9AdyK-8eSs/maxresdefault.jpg Believe in Cauchy–Schwarz Inequality, NOT calculus 3 We a point inside of the 3-4-5 triangle and the distances from the point to each side are x, y, and z, respectively. The goal is to find the minimum value of x^2+y^2+z^2 but how can we do this without calculus? The key is the Cauchy–Schwarz Inequality! Support this channel and get more content 👉 https://www.patreon.com/blackpenredpen ---------------------------------------- Big thanks to my Patrons for the full-marathon support! Ben D, Grant S, Mark M, Phillippe S. Michael Z, Jan P. Devun C. Stefan C. Ethan BW Didion S. NN Minkyu Y Brandon F Levon M shortsleeve Jack P Gabriel G Yeeted C David H Mateo F Emma M Eden E Minicat Jose R Nicholas Fey Tyler B Lucas W Ahmet Ö An R Camila L Luupo Farrah Batman 1127 Mathguru Дмитрий П. Michelle L. Alin V. Archer. L Ali. Subotai B. Spencer A. Chris Jason B. Ou S. Nuddi M. Jackson M. Jordan T. Gregorio B. Omkar N. John D. Zero Jeffrey C J D Chaz W. Ryan Turbo S Arcana Rehan M Lukasz M NaiKang W Kevin Y Gamesh K kelvin P 형우 박 Minda W Erik P Sebastian C Ryan M Billy J Kian S Stormm HOm3l3ss b Nathan Y Aidyn R ---------------------------------------- 🛍 Shop my math t-shirt & hoodies: https://amzn.to/3qBeuw6 ---------------------------------------- #blackpenredpen #math #calculus #mathtutorials https://www.youtube.com/embed/F9AdyK-8eSs 2026-03-17T18:02:20.000Z blackpenredpen 530 yes no https://vidert.com/v/math-education/video/15569/sum-of-n-2-n-cos-n-pi-3-using-complex-numbers 2026-03-17T18:02:03.000Z weekly 0.5 https://i.ytimg.com/vi/WV5eY4xffds/maxresdefault.jpg Sum of n/2^n*cos(n*pi/3) using complex numbers We will see how to evaluate the infinite series of n/2^n*cos(n*pi/3) by using Euler’s formula 0:00 The trick is to use complex numbers 5:44 The simplification https://youtu.be/pwjPfuRvP6M If the question is to evaluate the series of n/2^n, then we can do this: https://youtu.be/Ch9uCBm-kUE?si=uzhrpmZ4kZeA3T5w Support this channel and get more content 👉 https://www.patreon.com/blackpenredpen ---------------------------------------- Big thanks to my Patrons for the full-marathon support! Ben D, Grant S, Mark M, Phillippe S. Michael Z, Jan P. Devun C. Stefan C. Ethan BW Didion S. NN Minkyu Y Brandon F Levon M shortsleeve Jack P Gabriel G Yeeted C David H Mateo F Emma M Eden E Minicat Jose R Nicholas Fey Tyler B Lucas W Ahmet Ö An R Camila L Luupo Farrah Batman 1127 Mathguru Дмитрий П. Michelle L. Alin V. Archer. L Ali. Subotai B. Spencer A. Chris Jason B. Ou S. Nuddi M. Jackson M. Jordan T. Gregorio B. Omkar N. John D. Zero Jeffrey C J D Chaz W. Ryan Turbo S Arcana Rehan M Lukasz M NaiKang W Kevin Y Gamesh K kelvin P 형우 박 Minda W Erik P Sebastian C Ryan M Billy J Kian S Stormm HOm3l3ss b Nathan Y Aidyn R ---------------------------------------- 🛍 Shop my math t-shirt & hoodies: https://amzn.to/3qBeuw6 ---------------------------------------- #blackpenredpen #math #calculus #mathtutorials https://www.youtube.com/embed/WV5eY4xffds 2026-03-17T18:02:03.000Z blackpenredpen 461 yes no https://vidert.com/v/math-education/video/15567/if-1-z-z-2-z-3-z-4-z-5-z-6-0-then-z-z-2-z-4 2026-03-17T18:01:48.000Z weekly 0.5 https://i.ytimg.com/vi/8-qQaLQV76Y/maxresdefault.jpg If 1+z+z^2+z^3+z^4+z^5+z^6=0, then z+z^2+z^4=? Math for fun, an algebra challenge: if 1+z+z^2+z^3+z^4+z^5+z^6=0, then z+z^2+z^4=? Support this channel and get more content 👉 https://www.patreon.com/blackpenredpen ---------------------------------------- Big thanks to my Patrons for the full-marathon support! Ben D, Grant S, Mark M, Phillippe S. Michael Z, Jan P. Devun C. Stefan C. Ethan BW Didion S. NN Minkyu Y Brandon F Levon M shortsleeve Jack P Gabriel G Yeeted C David H Mateo F Emma M Eden E Minicat Jose R Nicholas Fey Tyler B Lucas W Ahmet Ö An R Camila L Luupo Farrah Batman 1127 Mathguru Дмитрий П. Michelle L. Alin V. Archer. L Ali. Subotai B. Spencer A. Chris Jason B. Ou S. Nuddi M. Jackson M. Jordan T. Gregorio B. Omkar N. John D. Zero Jeffrey C J D Chaz W. Ryan Turbo S Arcana Rehan M Lukasz M NaiKang W Kevin Y Gamesh K kelvin P 형우 박 Minda W Erik P Sebastian C Ryan M Billy J Kian S Stormm HOm3l3ss b Nathan Y Aidyn R ---------------------------------------- 🛍 Shop my math t-shirt & hoodies: https://amzn.to/3qBeuw6 ---------------------------------------- #blackpenredpen #math #mathtutorials https://www.youtube.com/embed/8-qQaLQV76Y 2026-03-17T18:01:48.000Z blackpenredpen 556 yes no https://vidert.com/v/math-education/video/15564/can-a-2-i-0 2026-03-17T18:01:36.000Z weekly 0.5 https://i.ytimg.com/vi/-6sa6VButYo/maxresdefault.jpg Can A^2+I=0? Can the square of a matrix plus the identity equal 0? This is a fun equation involving matrices and it is similar to x^2+1=0. But for this one, we dont need to use complex numbers unless we want to! Support this channel and get more content 👉 https://www.patreon.com/blackpenredpen ---------------------------------------- Big thanks to my Patrons for the full-marathon support! Ben D, Grant S, Mark M, Phillippe S. Michael Z, Jan P. Devun C. Stefan C. Ethan BW Didion S. NN Minkyu Y Brandon F Levon M shortsleeve Jack P Gabriel G Yeeted C David H Mateo F Emma M Eden E Minicat Jose R Nicholas Fey Tyler B Lucas W Ahmet Ö An R Camila L Luupo Farrah Batman 1127 Mathguru Дмитрий П. Michelle L. Alin V. Archer. L Ali. Subotai B. Spencer A. Chris Jason B. Ou S. Nuddi M. Jackson M. Jordan T. Gregorio B. Omkar N. John D. Zero Jeffrey C J D Chaz W. Ryan Turbo S Arcana Rehan M Lukasz M NaiKang W Kevin Y Gamesh K ---------------------------------------- 🛍 Shop my math t-shirt & hoodies: https://amzn.to/3qBeuw6 ---------------------------------------- #blackpenredpen #math #calculus #mathtutorials https://www.youtube.com/embed/-6sa6VButYo 2026-03-17T18:01:36.000Z blackpenredpen 774 yes no https://vidert.com/v/math-education/video/15561/a-taste-of-when-there-are-no-numbers-in-math 2026-03-17T18:01:10.000Z weekly 0.5 https://i.ytimg.com/vi/VIIgfst6jjE/maxresdefault.jpg A taste of "when there are no numbers in math" The higher the math you get to, the less often you see numbers! Here's an example of a basic proof in Set Theory, the compliment of the intersection of A and B is the union of the compliment of A and the compliment of B. Enjoy! Support this channel and get more content 👉 https://www.patreon.com/blackpenredpen ---------------------------------------- Big thanks to my Patrons for the full-marathon support! Ben D, Grant S, Mark M, Phillippe S. Michael Z, Jan P. Devun C. Stefan C. Ethan BW Didion S. NN Minkyu Y Brandon F Levon M shortsleeve Jack P Gabriel G Yeeted C David H Mateo F Emma M Eden E Minicat Jose R Nicholas Fey Tyler B Lucas W Ahmet Ö An R Camila L Luupo Farrah Batman 1127 Mathguru Дмитрий П. Michelle L. Alin V. Archer. L Ali. Subotai B. Spencer A. Chris Jason B. Ou S. Nuddi M. Jackson M. Jordan T. Gregorio B. Omkar N. John D. Zero Jeffrey C J D Chaz W. Ryan Turbo S Arcana Rehan M Lukasz M NaiKang W Kevin Y Gamesh K ---------------------------------------- 🛍 Shop my math t-shirt & hoodies: https://amzn.to/3qBeuw6 ---------------------------------------- #blackpenredpen #math #calculus #mathtutorials https://www.youtube.com/embed/VIIgfst6jjE 2026-03-17T18:01:10.000Z blackpenredpen 717 yes no https://vidert.com/v/math-education/video/15559/believe-in-calculus-not-pictures 2026-03-17T18:00:59.000Z weekly 0.5 https://i.ytimg.com/vi/7JygWo4EVu8/maxresdefault.jpg Believe in calculus, NOT pictures! Learn calculus with Brilliant, click https://brilliant.org/blackpenredpen/ and get a 30-day free trial plus a 20% off your annual premium subscription. This calculus tutorial shows you how to prove that if the first derivative of f is positive, then the function f is strictly increasing, i.e. if f'(x) is positive on R, then f is strictly increasing. To write a math proof, we will need to know the definition of a function being strictly increasing. And then we will use the Mean Value Theorem to prove the claim. Support this channel and get more content 👉 https://www.patreon.com/blackpenredpen #calculus #mathtutorials #blackpenredpen https://www.youtube.com/embed/7JygWo4EVu8 2026-03-17T18:00:59.000Z blackpenredpen 521 yes no https://vidert.com/v/math-education/video/15558/100-integrals-remake-solutions-full-collection-on-patreon 2026-03-17T18:00:45.000Z weekly 0.5 https://i.ytimg.com/vi/K2m9oyu30G4/maxresdefault.jpg 100 integrals (remake + solutions) full collection on Patreon Get the solution pdf: https://www.patreon.com/posts/126980434/ Full collection: https://www.patreon.com/collection/1491006/ Here's the remake of the first 10 questions from my most popular video, 100 Integrals, now with clear written solutions! If you enjoy this and want even more exclusive content, please consider joining a paid membership. The original video: https://youtu.be/dgm4-3-Iv3s?si=HuSjpsp2V3Xh6l1U 0:00 Q1 Integral of tan^5(x)*sec^3(x) 3:31 Q2 Integral of cos(2x)/(sin(x)+cos(x)) 5:12 Q3 Integral of (x^2+1)/(x^4-x^2+1) 9:43 Q4 Integral of (x+e^x)^2 12:11 Q5 Integral of csc^3(x)sec(x) 18:09 Q6 Integral of cos(x)/(sin^2(x)-5sin(x)-6) 22:20 Q7 Integral of 1/sqrt(e^x) 24:00 Q8 Integral of e^x*sqrt(e^x-1)/(e^x+3) 30:44 Q9 Integral of 1/(x+sqrt(x)) 33:26 Q10 Integral of abs(x-1) from 1 to 5 https://www.youtube.com/embed/K2m9oyu30G4 2026-03-17T18:00:45.000Z blackpenredpen 2194 yes no https://vidert.com/v/math-education/video/15557/big-brilliant-integral 2026-03-17T18:00:29.000Z weekly 0.5 https://i.ytimg.com/vi/Ih5KGGQENL4/maxresdefault.jpg Big Brilliant Integral Learn math with Brilliant, click https://brilliant.org/blackpenredpen/ and get a 30-day free trial plus a 20% off your annual premium subscription. Learn how to evaluate the integral of ln((1+x^11)/(1+x^3))/((1+x^2)*ln(x)) from 0 to infinity. This is a convergent integral but we will use a substitution-property to evaluate. Previous version: https://www.youtube.com/watch?v=A2Z1ojxYIIk Support this channel and get more content 👉 https://www.patreon.com/blackpenredpen ---------------------------------------- Big thanks to my Patrons for the full-marathon support! Ben D, Grant S, Mark M, Phillippe S. Michael Z, Jan P. Devun C. Stefan C. Ethan BW Didion S. NN Minkyu Y Brandon F Levon M shortsleeve Jack P Gabriel G Yeeted C David H Mateo F Emma M Eden E Minicat Jose R Nicholas Fey Tyler B Lucas W Ahmet Ö An R Camila L Luupo Farrah Batman 1127 Mathguru Дмитрий П. Michelle L. Alin V. Archer. L Ali. Subotai B. Spencer A. Chris Jason B. Ou S. Nuddi M. Jackson M. Jordan T. Gregorio B. Omkar N. John D. Zero Jeffrey C J D Chaz W. Ryan Turbo S Arcana Rehan M Lukasz M NaiKang W Kevin Y Gamesh K ---------------------------------------- 🛍 Shop my math t-shirt & hoodies: https://amzn.to/3qBeuw6 ---------------------------------------- #blackpenredpen #math #calculus #mathtutorials https://www.youtube.com/embed/Ih5KGGQENL4 2026-03-17T18:00:29.000Z blackpenredpen 619 yes no https://vidert.com/v/math-education/video/15556/what-integration-technique-do-i-use-q1-to-q5-trig-sub-u-sub-di-method-partial-fr 2026-03-17T18:00:16.000Z weekly 0.5 https://i.ytimg.com/vi/KJY0gJMhpTY/maxresdefault.jpg What Integration Technique Do I Use? Q1 to Q5 (trig sub, u sub, DI method, partial fraction) calc 2 Here are the solutions Q1 to Q5 from my popular integral video " What Integration Technique Do I Use" https://youtu.be/M5MaGUO0JDs This tutorial goes over the strategies of choosing when to use integration by parts, trig sub, u-sub, partial fractions, etc. Full solution video on Patreon (plus problem and solution files) 👉 https://www.patreon.com/posts/full-solution-to-128217668 1. integral of ln(x)/x^3, 0:00 2. integral of sec^4(x), 2:20 3. integral of (2x+3)/(x^2-5x+4), 3:55 4. integral of x^2*tan(x^3), 7:56 5. integral of 1/(1+x^2)^(5/2), 9:32 https://www.youtube.com/embed/KJY0gJMhpTY 2026-03-17T18:00:16.000Z blackpenredpen 989 yes no https://vidert.com/v/math-education/video/15555/the-last-virtual-office-hour-chegg-trig-precalculus 2026-03-17T18:00:00.000Z weekly 0.5 https://i.ytimg.com/vi/c_f4bVlUXos/maxresdefault.jpg The last virtual office hour! (Chegg Trig & Precalculus) Chegg's virtual office hours in trig and precalculus! Chegg is hosting live office hours every week! The schedule is on our YouTube community page and stay connected with us here: https://che.gg/3E2AZRw 📐 Join us for Trigonometry Office Hours! Get expert help understanding sine, cosine, tangent, and their applications. Whether you're working with right triangles, solving trigonometric equations, graphing periodic functions, or exploring identities, our experienced instructors will help you master these fundamental concepts. Bring your questions about SOHCAHTOA, Unit Circle, Inverse Trig Functions, Law of Sines, Law of Cosines, Double Angle Formulas, Radian Measure, Polar Coordinates, and more! Perfect for MATH142 students, pre-calculus students, and anyone wanting to strengthen their understanding of angular relationships and periodic functions. #trigonometry #mathematics #math #trig #precalculus #MATH142 #mathhelp #unitcircle #sinecosine #trigfunctions #mathtutoring #mathematicseducation #STEM #trigidentities #mathtutor #geometrymath https://www.youtube.com/embed/c_f4bVlUXos 2026-03-17T18:00:00.000Z blackpenredpen 3618 yes no https://vidert.com/v/math-education/video/15554/the-coolest-way-to-solve-an-equation 2026-03-17T17:59:46.000Z weekly 0.5 https://i.ytimg.com/vi/g9iFrTd0Dv0/maxresdefault.jpg The coolest way to solve an equation! We will see how to solve a very fun equation sqrt(5-x)=5-x^2. This is a remake of my video "Quadratic equation in terms of 5" https://youtu.be/cJAuOV9Dw5U?si=rDF2earIgOA5y6Jb. How do we solve sqrt(5-x)=5-x^2? You can get my hand-written solution on my Patreon and more fun math videos. (join for FREE) https://www.patreon.com/posts/126884135 ---------------------------------------- Big thanks to my Patrons for the full-marathon support! Ben D, Grant S, Mark M, Phillippe S. Michael Z, Jan P. Devun C. Stefan C. Ethan BW Didion S. NN Minkyu Y Brandon F Levon M shortsleeve Jack P Gabriel G Yeeted C David H Mateo F Emma M Eden E Minicat Jose R Nicholas Fey Tyler B Lucas W Ahmet Ö An R Camila L Luupo Farrah Batman 1127 Mathguru Дмитрий П. Michelle L. Alin V. Archer. L Ali. Subotai B. Spencer A. Chris Jason B. Ou S. Nuddi M. Jackson M. Jordan T. Gregorio B. Omkar N. John D. Zero Jeffrey C J D Chaz W. Ryan Turbo S Arcana Rehan M Lukasz M NaiKang W Kevin Y Gamesh K ---------------------------------------- 🛍 Shop my math t-shirt & hoodies: https://amzn.to/3qBeuw6 Support this channel and get more content 👉 https://www.patreon.com/blackpenredpen ---------------------------------------- #blackpenredpen #math #calculus #mathtutorials https://www.youtube.com/embed/g9iFrTd0Dv0 2026-03-17T17:59:46.000Z blackpenredpen 470 yes no https://vidert.com/v/math-education/video/15553/can-x-3-i 2026-03-17T17:59:33.000Z weekly 0.5 https://i.ytimg.com/vi/6LVOMaQwDmU/maxresdefault.jpg Can x^3=i? How can we solve the cubic equation x^3=i? This will help us to find all the cube roots of i. Square roots of i: https://youtu.be/Z49hXoN4KWg?si=x8nFg3VCdCPwb0n8 Support this channel and get more content 👉 https://www.patreon.com/blackpenredpen ---------------------------------------- Big thanks to my Patrons for the full-marathon support! Ben D, Grant S, Mark M, Phillippe S. Michael Z, Jan P. Devun C. Stefan C. Ethan BW Didion S. NN Minkyu Y Brandon F Levon M shortsleeve Jack P Gabriel G Yeeted C David H Mateo F Emma M Eden E Minicat Jose R Nicholas Fey Tyler B Lucas W Ahmet Ö An R Camila L Luupo Farrah Batman 1127 Mathguru Дмитрий П. Michelle L. Alin V. Archer. L Ali. Subotai B. Spencer A. Chris Jason B. Ou S. Nuddi M. Jackson M. Jordan T. Gregorio B. Omkar N. John D. Zero Jeffrey C J D Chaz W. Ryan Turbo S Arcana Rehan M Lukasz M NaiKang W Kevin Y Gamesh K ---------------------------------------- 🛍 Shop my math t-shirt & hoodies: https://amzn.to/3qBeuw6 ---------------------------------------- #blackpenredpen #math #calculus #mathtutorials https://www.youtube.com/embed/6LVOMaQwDmU 2026-03-17T17:59:33.000Z blackpenredpen 268 yes no https://vidert.com/v/math-education/video/15552/all-solutions-to-x-2-2-x-remake-notes 2026-03-17T17:59:20.000Z weekly 0.5 https://i.ytimg.com/vi/JnK7nO5ek2Y/maxresdefault.jpg All solutions to x^2=2^x (remake+notes) Get the solution for this video and watch more FREE content here: https://www.patreon.com/collection/1452639 This is a remake of one of my most popular videos "all solutions to x^2=2^x" on iPad. This is one of my free videos on my Patreon. My goal is to remake more of my old videos so I can provide better explanations, clearer steps, and my hand-written solution. I will still record most of my videos in front of a whiteboard on this channel. Original version: https://youtu.be/ndA0sF_0Rwk?si=Y-bYqsWW9TosKCS9 0:00 Intro to the negative solution to x^2=2^x 1:30 Solving x^2=2^x completely 4:40 Quick intro to the Lambert W function 11:55 Lambert W function = productlog function on WolframAlpha ---------------------------------------- Big thanks to my Patrons for the full-marathon support! Ben D, Grant S, Mark M, Phillippe S. Michael Z, Jan P. Devun C. Stefan C. Ethan BW Didion S. NN Minkyu Y Brandon F Levon M shortsleeve Jack P Gabriel G Yeeted C David H Mateo F Emma M Eden E Minicat Jose R Nicholas Fey Tyler B Lucas W Ahmet Ö An R Camila L Luupo Farrah Batman 1127 Mathguru Дмитрий П. Michelle L. Alin V. Archer. L Ali. Subotai B. Spencer A. Chris Jason B. Ou S. Nuddi M. Jackson M. Jordan T. Gregorio B. Omkar N. John D. Zero Jeffrey C J D Chaz W. Ryan Turbo S Arcana Rehan M ---------------------------------------- #blackpenredpen #math #calculus https://www.youtube.com/embed/JnK7nO5ek2Y 2026-03-17T17:59:20.000Z blackpenredpen 887 yes no https://vidert.com/v/math-education/video/15551/a-quick-guide-to-finding-the-range-of-a-fuction-chegg-trig-precalculus-office-ho 2026-03-17T17:59:07.000Z weekly 0.5 https://i.ytimg.com/vi/4lsAjmM8s1I/maxresdefault.jpg A quick guide to finding the range of a fuction! Chegg Trig & Precalculus office hour How to find the range of a function! Chegg is hosting live office hours every week! The schedule is on our YouTube community page and stay connected with us here: https://che.gg/3E2AZRw We will see how to find the range for various functions, including quadratic, square root, exponential, logarithm, and trigonometric functions. We will be back with more virtual office hour next week, 5/5/2025 at 6:45pm to 7:45 pm on Chegg's channel @chegg https://www.youtube.com/embed/4lsAjmM8s1I 2026-03-17T17:59:07.000Z blackpenredpen 3626 yes no https://vidert.com/v/math-education/video/15550/cubic-vertex-formula-no-calculus 2026-03-17T17:58:51.000Z weekly 0.5 https://i.ytimg.com/vi/yJNuAXGqtRY/maxresdefault.jpg Cubic vertex formula (no calculus) We know the vertex formula of a parabola y=ax^2+bx+c is at x=-b/(2a), but what if we have a cubic function y=ax^3+bx^2+cx+d? This math tutorial provides a complete guide to finding a cubic curve's local min/max, all with just algebra! The previous video (with a mistake at the end) 👉 https://youtu.be/udcUG2MOUkE The 2017 video 👉 https://youtu.be/3FiLDibOD3s?si=IMJ_pUxET2vT0rdg Support this channel and get more content 👉 https://www.patreon.com/blackpenredpen ---------------------------------------- Big thanks to my Patrons for the full-marathon support! Ben D, Grant S, Mark M, Phillippe S. Michael Z, Jan P. Devun C. Stefan C. Ethan BW Didion S. NN Minkyu Y Brandon F Levon M shortsleeve Jack P Gabriel G Yeeted C David H Mateo F Emma M Eden E Minicat Jose R Nicholas Fey Tyler B Lucas W Ahmet Ö An R Camila L Luupo Farrah Batman 1127 Mathguru Дмитрий П. Michelle L. Alin V. Archer. L Ali. Subotai B. Spencer A. Chris Jason B. Ou S. Nuddi M. Jackson M. Jordan T. Gregorio B. Omkar N. John D. Zero Jeffrey C J D Chaz W. Ryan Turbo S Arcana Rehan M ---------------------------------------- #blackpenredpen #math #mathforfun https://www.youtube.com/embed/yJNuAXGqtRY 2026-03-17T17:58:51.000Z blackpenredpen 1010 yes no https://vidert.com/v/math-education/video/15549/are-they-the-same-function-be-careful-with-the-domain-chegg-trig-precalculus-off 2026-03-17T17:57:45.000Z weekly 0.5 https://i.ytimg.com/vi/6rHm41jtzCg/maxresdefault.jpg Are they the same function? Be careful with the domain! Chegg Trig/Precalculus office hour Math livestream tutorial on how to find the domain of a function! The three cases you need to know! Chegg is hosting live office hours every week! Schedule is on our YouTube community page and stay connected with us here: https://che.gg/3E2AZRw 📐 Join us for Trigonometry Office Hours! Get expert help understanding sine, cosine, tangent, and their applications. Whether you're working with right triangles, solving trigonometric equations, graphing periodic functions, or exploring identities, our experienced instructors will help you master these fundamental concepts. Bring your questions about SOHCAHTOA, Unit Circle, Inverse Trig Functions, Law of Sines, Law of Cosines, Double Angle Formulas, Radian Measure, Polar Coordinates, and more! Perfect for MATH142 students, pre-calculus students, and anyone wanting to strengthen their understanding of angular relationships and periodic functions. #math #mathtutorial #precalculus https://www.youtube.com/embed/6rHm41jtzCg 2026-03-17T17:57:45.000Z blackpenredpen 3620 yes no https://vidert.com/v/math-education/video/15548/making-a-cubic-equation-have-a-double-root 2026-03-17T17:57:32.000Z weekly 0.5 https://i.ytimg.com/vi/PDHyJqKKkmU/maxresdefault.jpg Making a cubic equation have a double root Learn math with Brilliant, click https://brilliant.org/blackpenredpen/ and get a 30-day free trial plus a 20% off your annual premium subscription. This math video shows you how to find k so that the cubic equation x^3-9x^2+15x+k=0 will have a double root. Once you find out the k value, you will also be able to locate where the local min and local max of the cubic function f(x)=x^3-9x^2+15x. Shout out to @lihanmath for providing the idea of finding the local min/max of a cubic without using calculus. ---------------------------------------- Big thanks to my Patrons for the full-marathon support! Ben D, Grant S, Mark M, Phillippe S. Michael Z, Jan P. Devun C. Stefan C. Ethan BW Didion S. NN Minkyu Y Brandon F Levon M shortsleeve Jack P Gabriel G Yeeted C David H Mateo F Emma M Eden E Minicat Jose R Nicholas Fey Tyler B Lucas W Ahmet Ö An R Camila L Luupo Farrah Batman 1127 Mathguru Дмитрий П. Michelle L. Alin V. Archer. L Ali. Subotai B. Spencer A. Chris Jason B. Ou S. Nuddi M. Jackson M. Jordan T. Gregorio B. Omkar N. John D. Zero Jeffrey C J D Chaz W. Ryan Turbo S Arcana Rehan M Jozef G. ---------------------------------------- 💪 Support this channel and get my math notes by becoming a patron: https://www.patreon.com/blackpenredpen 🛍 Shop my math t-shirt & hoodies: https://amzn.to/3qBeuw6 ---------------------------------------- #blackpenredpen #math #calculus #apcalculus https://www.youtube.com/embed/PDHyJqKKkmU 2026-03-17T17:57:32.000Z blackpenredpen 703 yes no https://vidert.com/v/math-education/video/15547/5-math-video-categories-that-grew-my-channel-12-years-on-youtube 2026-03-17T17:57:20.000Z weekly 0.5 https://i.ytimg.com/vi/xRKaD2e0Ghc/maxresdefault.jpg 5 Math Video Categories That Grew My Channel (12 Years on YouTube) After 12 years of making math videos on YouTube, I’ve learned about the types of problems that really click with students and viewers. If you’ve ever wondered why certain questions feel more satisfying, this one’s for you. 💪 Support this channel by becoming a patron: https://www.patreon.com/blackpenredpen Quadratic 👉 https://youtu.be/cJAuOV9Dw5U?si=rjgPKcOKGh0iKlF5 e^pi vs pi^e 👉 https://youtu.be/SPHD7zmLVa8?si=BOl83ZrlN0M0-2e9 sqrt(i) 👉 https://youtu.be/Z49hXoN4KWg?si=uFkptG5qLjCOGEVd Solving 2^x=x^2 👉 https://youtu.be/ndA0sF_0Rwk?si=G1QIEUOHjtgtULN5 Gaussian Integral (Laplace's method) 👉 https://youtu.be/tCPQSobqFh4?si=WGUXd31KSAyfP1oW Solving x^5+x^4+1=0 👉 https://youtu.be/YkEPMf1l2os?si=Y0crM72mIu7Y0Vlg ---------------------------------------- Big thanks to my Patrons for the full-marathon support! Ben D, Grant S, Mark M, Phillippe S. Michael Z, Jan P. Devun C. Stefan C. Ethan BW Didion S. NN Minkyu Y Brandon F Levon M shortsleeve Jack P Gabriel G Yeeted C David H Mateo F Emma M Eden E Minicat Jose R Nicholas Fey Tyler B Lucas W Ahmet Ö An R Camila L Luupo Farrah Batman 1127 Mathguru Дмитрий П. Michelle L. Alin V. Archer. L Ali. Subotai B. Spencer A. Chris Jason B. Ou S. Nuddi M. Jackson M. Jordan T. Gregorio B. Omkar N. John D. Zero Jeffrey C J D Chaz W. Ryan Turbo S Arcana Rehan M ---------------------------------------- 💪 Support this channel and get my math notes by becoming a patron: https://www.patreon.com/blackpenredpen 🛍 Shop my math t-shirt & hoodies: https://amzn.to/3qBeuw6 ---------------------------------------- #blackpenredpen #math #calculus #apcalculus https://www.youtube.com/embed/xRKaD2e0Ghc 2026-03-17T17:57:20.000Z blackpenredpen 1237 yes no https://vidert.com/v/math-education/video/15546/how-to-solve-logarithmic-equations-chegg-trig-precalculus-office-hours-with-blac 2026-03-17T17:57:07.000Z weekly 0.5 https://i.ytimg.com/vi/Ca8Bn9Y-Ark/maxresdefault.jpg How to solve logarithmic equations! Chegg Trig & Precalculus Office Hours with blackpenredpen Virtual office hours on solving logarithmic equations brought to you by Chegg! Follow us https://che.gg/3E2AZRw Today we will discuss logarithm, in particular, logarithmic equations and some technical things you have to be careful! 0:00 Welcome to Chegg Trig/Precalc office hour 2:00 Solving log_3(x)+log_9(x)=1 9:19 Solving log_2(3x)+log_3(3x)=6 15:00 How to solve 3^ln(x)=2 18:35 An underrated logarithmic property 22:50 3^sqrt(x)=ln(3) 26:45 Solving ln(x^2)=(ln(x))^2 31:44 ln(x) vs cbrt(x) 38:00 Must-knows for logarithms 42:15 Vertical asymptote of a log function 52:00 A discussion on e https://www.youtube.com/embed/Ca8Bn9Y-Ark 2026-03-17T17:57:07.000Z blackpenredpen 3624 yes no https://vidert.com/v/math-education/video/15545/my-first-x-x-congruence-x-x-2-mod5 2026-03-17T17:56:51.000Z weekly 0.5 https://i.ytimg.com/vi/-hR98-D1WQ0/maxresdefault.jpg My first x^x congruence: x^x≡2 (mod5) My first x^x congruence, x^x≡2 (mod5), probably the first one on YouTube, too! However, I do not know how to solve the general case, but I did manage to "solve" it and got the same answer as WolframAlpha. ---------------------------------------- Big thanks to my Patrons for the full-marathon support! Ben D, Grant S, Mark M, Phillippe S. Michael Z, Jan P. Devun C. Stefan C. Ethan BW Didion S. NN Minkyu Y Brandon F Levon M shortsleeve Jack P Gabriel G Yeeted C David H Mateo F Emma M Eden E Minicat Jose R Nicholas Fey Tyler B Lucas W Ahmet Ö An R Camila L Luupo Farrah Batman 1127 Mathguru Дмитрий П. Michelle L. Alin V. Archer. L Ali. Subotai B. Spencer A. Chris Jason B. Ou S. Nuddi M. Jackson M. Jordan T. Gregorio B. Omkar N. John D. Zero Jeffrey C J D Chaz W. Ryan Turbo S Arcana Rehan M ---------------------------------------- 💪 Support this channel and get my math notes by becoming a patron: https://www.patreon.com/blackpenredpen 🛍 Shop my math t-shirt & hoodies: https://amzn.to/3qBeuw6 ---------------------------------------- #blackpenredpen #math #calculus #apcalculus https://www.youtube.com/embed/-hR98-D1WQ0 2026-03-17T17:56:51.000Z blackpenredpen 1321 yes no https://vidert.com/v/math-education/video/15544/let-s-solve-exponential-equations-chegg-trig-precalculus-office-hour 2026-03-17T17:56:37.000Z weekly 0.5 https://i.ytimg.com/vi/toKajFuLezo/maxresdefault.jpg Let's solve exponential equations! Chegg Trig & Precalculus Office Hour! Today, we will focus on solving various types of exponential equations and also their application problems. Thanks to everyone who showed up to the live stream and asked the questions in the chat. Thanks to Chegg for the opportunity. We will have more virtual office hours in various subjects. Check out https://che.gg/3E2AZRw 0:00 Welcome to the virtual office hour, brought to you by @chegg 2:22 Solve (sqrt(2))^(x+4)=1/8 9:30 Carbon dating, an application of the exponential equation 15:35 Solve e^(2x)-3e^x+2=0 19:00 Solve 40^(x-1)=2^(2x+1) 26:25 Solve cosh(x)=3 36:38 sinh(x)+cosh(x)=e^x 41:41 A log equation 46:30 A bacteria growth problem 53:23 A domain problem for a logarithmic function https://www.youtube.com/embed/toKajFuLezo 2026-03-17T17:56:37.000Z blackpenredpen 3612 yes no https://vidert.com/v/math-education/video/15543/how-to-solve-hard-polynomial-equations-chegg-trig-precalculus-office-hours 2026-03-17T17:56:26.000Z weekly 0.5 https://i.ytimg.com/vi/nb2mBVo1wTU/maxresdefault.jpg How to solve HARD polynomial equations! Chegg Trig & Precalculus Office Hours Today, we will focus on solving polynomial equations! These are the typical techniques to solve cubic or higher degree polynomial equations. This virtual office hour is brought to you by Chegg. Check out the schedule and connect with us here: https://che.gg/3E2AZRw 0:00 Solve (x+3)^5=x^5+3^5 (sorry about the bad video quality, but it will get better soon) 23:18 Solve 2x^3+5x^2+18x+45=0 28:45 Solve x^4-9x^2-2x+6=0 39:52 Polynomial long division (x^5-2x^2+4x+1)/(x^3-x^2-x+1) 53:01 Solve 4x^4-x^2-8x-16=0 https://www.youtube.com/embed/nb2mBVo1wTU 2026-03-17T17:56:26.000Z blackpenredpen 3612 yes no https://vidert.com/v/math-education/video/15542/can-d-2y-dx-2-dy-dx-2 2026-03-17T17:56:11.000Z weekly 0.5 https://i.ytimg.com/vi/t6IzRCScKIc/maxresdefault.jpg Can d^2y/dx^2=(dy/dx)^2? Is d^2y/dx^2=(dy/dx)^2? Well, not all the time, but sometimes yes! The video from 2017: https://youtu.be/wohyJ2heLso?si=fbdXzibuq9rRX58x ---------------------------------------- Big thanks to my Patrons for the full-marathon support! Ben D, Grant S, Mark M, Phillippe S. Michael Z, Jan P. Devun C. Stefan C. Ethan BW Didion S. NN Minkyu Y Brandon F Levon M shortsleeve Jack P Gabriel G Yeeted C David H Mateo F Emma M Eden E Minicat Jose R Nicholas Fey Tyler B Lucas W Ahmet Ö An R Camila L Luupo Farrah Batman 1127 Mathguru Дмитрий П. Michelle L. Alin V. Archer. L Ali. Subotai B. Spencer A. Chris Jason B. Ou S. Nuddi M. Jackson M. Jordan T. Gregorio B. Omkar N. John D. Zero Jeffrey C J D Chaz W. Ryan Turbo S Arcana Rehan M 💪 Support this channel and get my math notes by becoming a patron: https://www.patreon.com/blackpenredpen 🛍 Shop my math t-shirt & hoodies: https://amzn.to/3qBeuw6 ---------------------------------------- #blackpenredpen #math #calculus #apcalculus https://www.youtube.com/embed/t6IzRCScKIc 2026-03-17T17:56:11.000Z blackpenredpen 598 yes no https://vidert.com/v/math-education/video/15508/the-most-beautiful-formula-not-enough-people-understand 2026-03-17T17:48:45.000Z weekly 0.5 https://i.ytimg.com/vi/fsLh-NYhOoU/maxresdefault.jpg The most beautiful formula not enough people understand On the volumes of higher-dimensional spheres Explore the 3b1b virtual career fair: See https://3b1b.co/talent Become a supporter for early views of new videos: https://3b1b.co/support An equally valuable form of support is to simply share the videos. Home page: https://www.3blue1brown.com Thanks to UC Santa Cruz for letting me film there, and special thanks to Pedro Morales-Almazan for arranging everything. My video on Numberphile with a fun application of this problem: https://youtu.be/6_yU9eJ0NxA Timestamps: 0:00 - Introduction 1:01 - Random puzzle 6:16 - Outside the box 14:35 - Setting up the volume grid 21:14 - Why 4πr^2 25:21 - Archimedes in higher dimensions 36:17 - The general formula 40:40 - 1/2 factorial 44:58 - Why 5D spheres are the biggest 50:16 - Concentration at the surface 54:27 - A unit-free interpretation 57:50 - 3b1b Talent 59:13 - Explaining the intro animation ------------------ These animations are largely made using a custom Python library, manim. See the FAQ comments here: https://3b1b.co/faq#manim Music by Vincent Rubinetti. https://vincerubinetti.bandcamp.com/album/the-music-of-3blue1brown https://open.spotify.com/album/1dVyjwS8FBqXhRunaG5W5u ------------------ 3blue1brown is a channel about animating math, in all senses of the word animate. If you're reading the bottom of a video description, I'm guessing you're more interested than the average viewer in lessons here. It would mean a lot to me if you chose to stay up to date on new ones, either by subscribing here on YouTube or otherwise following on whichever platform below you check most regularly. Mailing list: https://3blue1brown.substack.com Twitter: https://twitter.com/3blue1brown Bluesky: https://bsky.app/profile/3blue1brown.com Instagram: https://www.instagram.com/3blue1brown Reddit: https://www.reddit.com/r/3blue1brown Facebook: https://www.facebook.com/3blue1brown Patreon: https://patreon.com/3blue1brown Website: https://www.3blue1brown.com https://www.youtube.com/embed/fsLh-NYhOoU 2026-03-17T17:48:45.000Z 3Blue1Brown 3624 yes no https://vidert.com/v/math-education/video/15507/the-lattice-bacteria-puzzle 2026-03-17T17:48:34.000Z weekly 0.5 https://i.ytimg.com/vi/d0ai33oqqDE/maxresdefault.jpg The lattice bacteria puzzle Part of a series of monthly puzzles, done in collaboration with MoMath. https://momath.org/mindbenders https://www.youtube.com/embed/d0ai33oqqDE 2026-03-17T17:48:34.000Z 3Blue1Brown 62 yes no https://vidert.com/v/math-education/video/15506/solution-to-the-ladybug-clock-puzzle 2026-03-17T17:48:18.000Z weekly 0.5 https://i.ytimg.com/vi/7gG91SZwBoE/maxresdefault.jpg Solution to the ladybug clock puzzle Solution to last month's probability puzzle. https://www.youtube.com/embed/7gG91SZwBoE 2026-03-17T17:48:18.000Z 3Blue1Brown 154 yes no https://vidert.com/v/math-education/video/15505/the-hairy-ball-theorem 2026-03-17T17:48:07.000Z weekly 0.5 https://i.ytimg.com/vi/BHdbsHFs2P0/maxresdefault.jpg The Hairy Ball Theorem Unexpected applications and a beautiful proof. Looking for a new career? Check out https://3b1b.co/talent Supporters get early access to new videos: https://3b1b.co/support An equally valuable form of support is to simply share the videos. Home page: https://www.3blue1brown.com Credits: Senia Sheydvasser: Co-writing and sphere deformation animations, made in Blender Paul Dancstep: Those lovely fluffy sphere animations, made in Cinema4D Vince Rubinetti: Music Sphere Eversion clip by Carsten Steger https://commons.wikimedia.org/wiki/File:Thurston_Sphere_Eversion.webm Timestamps: 0:00 - To comb a hairy ball 1:24 - Applications 8:46 - The puzzle of one null point 12:12 - The proof outline 16:41 - Defining orientation 21:44 - Why inside-out is impossible 25:59 - 3b1b Talent 27:44 - Final food for thought ------------------ These animations are largely made using a custom Python library, manim. See the FAQ comments here: https://3b1b.co/faq#manim Music by Vincent Rubinetti. https://vincerubinetti.bandcamp.com/album/the-music-of-3blue1brown https://open.spotify.com/album/1dVyjwS8FBqXhRunaG5W5u ------------------ 3blue1brown is a channel about animating math, in all senses of the word animate. If you're reading the bottom of a video description, I'm guessing you're more interested than the average viewer in lessons here. It would mean a lot to me if you chose to stay up to date on new ones, either by subscribing here on YouTube or otherwise following on whichever platform below you check most regularly. Mailing list: https://3blue1brown.substack.com Twitter: https://twitter.com/3blue1brown Bluesky: https://bsky.app/profile/3blue1brown.com Instagram: https://www.instagram.com/3blue1brown Reddit: https://www.reddit.com/r/3blue1brown Facebook: https://www.facebook.com/3blue1brown Patreon: https://patreon.com/3blue1brown Website: https://www.3blue1brown.com https://www.youtube.com/embed/BHdbsHFs2P0 2026-03-17T17:48:07.000Z 3Blue1Brown 1780 yes no https://vidert.com/v/math-education/video/15504/the-ladybug-clock-puzzle 2026-03-17T17:47:55.000Z weekly 0.5 https://i.ytimg.com/vi/t3jZ2xGOvYg/maxresdefault.jpg The ladybug clock puzzle This is the first in a set of monthly puzzles, curated by Peter Winkler. This one was originally suggested by Richard Stanley. You can sign up to hear his description of the answer at http://momath.org/mindbenders https://www.youtube.com/embed/t3jZ2xGOvYg 2026-03-17T17:47:55.000Z 3Blue1Brown 61 yes no https://vidert.com/v/math-education/video/15503/why-laplace-transforms-are-so-useful 2026-03-17T17:47:41.000Z weekly 0.5 https://i.ytimg.com/vi/FE-hM1kRK4Y/maxresdefault.jpg Why Laplace transforms are so useful Studying the forced harmonic oscillator by taking a Laplace transform and studying its poles. Instead of sponsored ad reads, these lessons are funded directly by viewers: https://3b1b.co/support An equally valuable form of support is to simply share the videos. Home page: https://www.3blue1brown.com Chapter on the Laplace Transform: https://youtu.be/j0wJBEZdwLs Chapter on the S-plane and Simple Harmonic Motion: https://youtu.be/-j8PzkZ70Lg Timestamps: 0:00 - Opening puzzle 1:06 - Key properties of a Laplace Transform 3:29 - Qualitative analysis with Laplace Transforms 4:29 - The Laplace Transforms of a Derivative 6:06 - The forced oscillator 11:59 - Intuition from the transformed solution 15:15 - Inverting to find a final answer 17:40 - Explaining the derivative property ------------------ These animations are largely made using a custom Python library, manim. See the FAQ comments here: https://3b1b.co/faq#manim Music by Vincent Rubinetti. https://vincerubinetti.bandcamp.com/album/the-music-of-3blue1brown https://open.spotify.com/album/1dVyjwS8FBqXhRunaG5W5u ------------------ 3blue1brown is a channel about animating math, in all senses of the word animate. If you're reading the bottom of a video description, I'm guessing you're more interested than the average viewer in lessons here. It would mean a lot to me if you chose to stay up to date on new ones, either by subscribing here on YouTube or otherwise following on whichever platform below you check most regularly. Mailing list: https://3blue1brown.substack.com Twitter: https://twitter.com/3blue1brown Bluesky: https://bsky.app/profile/3blue1brown.com Instagram: https://www.instagram.com/3blue1brown Reddit: https://www.reddit.com/r/3blue1brown Facebook: https://www.facebook.com/3blue1brown Patreon: https://patreon.com/3blue1brown Website: https://www.3blue1brown.com https://www.youtube.com/embed/FE-hM1kRK4Y 2026-03-17T17:47:41.000Z 3Blue1Brown 1385 yes no https://vidert.com/v/math-education/video/15502/the-dynamics-of-e-i 2026-03-17T17:47:27.000Z weekly 0.5 https://i.ytimg.com/vi/bnjKwiUg-kw/maxresdefault.jpg The dynamics of e^(πi) A fuller version of this explanation, also including the reason we care about complex exponents in the first place: https://youtu.be/-j8PzkZ70Lg https://www.youtube.com/embed/bnjKwiUg-kw 2026-03-17T17:47:27.000Z 3Blue1Brown 106 yes no https://vidert.com/v/math-education/video/15501/but-what-is-a-laplace-transform 2026-03-17T17:47:13.000Z weekly 0.5 https://i.ytimg.com/vi/j0wJBEZdwLs/maxresdefault.jpg But what is a Laplace Transform? Visualizing the most important tool for differential equations. Previous chapter: https://youtu.be/-j8PzkZ70Lg Instead of sponsored ad reads, these lessons are funded directly by viewers: https://3b1b.co/support An equally valuable form of support is to simply share the videos. Home page: https://www.3blue1brown.com Pi creature car artwork by Kurt Bruns Engine animation borrowed with permission from this (excellent) blog: https://ciechanow.ski/internal-combustion-engine/ Timestamps: 0:00 - Understanding the engine 1:16 - Key background ideas 5:41 - Definition and intuition 10:43 - Complex integration 20:43 - Analytic continuation 23:52 - The transform of exponentials 26:15 - A deep look at cos(t) 32:59 - What’s coming next ------------------ These animations are largely made using a custom Python library, manim. See the FAQ comments here: https://3b1b.co/faq#manim Music by Vincent Rubinetti. https://vincerubinetti.bandcamp.com/album/the-music-of-3blue1brown https://open.spotify.com/album/1dVyjwS8FBqXhRunaG5W5u ------------------ 3blue1brown is a channel about animating math, in all senses of the word animate. If you're reading the bottom of a video description, I'm guessing you're more interested than the average viewer in lessons here. It would mean a lot to me if you chose to stay up to date on new ones, either by subscribing here on YouTube or otherwise following on whichever platform below you check most regularly. Mailing list: https://3blue1brown.substack.com Twitter: https://twitter.com/3blue1brown Bluesky: https://bsky.app/profile/3blue1brown.com Instagram: https://www.instagram.com/3blue1brown Reddit: https://www.reddit.com/r/3blue1brown Facebook: https://www.facebook.com/3blue1brown Patreon: https://patreon.com/3blue1brown Website: https://www.3blue1brown.com https://www.youtube.com/embed/j0wJBEZdwLs 2026-03-17T17:47:13.000Z 3Blue1Brown 2081 yes no https://vidert.com/v/math-education/video/15500/the-physics-of-euler-s-formula-laplace-transform-prelude 2026-03-17T17:46:58.000Z weekly 0.5 https://i.ytimg.com/vi/-j8PzkZ70Lg/maxresdefault.jpg The Physics of Euler's Formula | Laplace Transform Prelude The simple harmonic oscillator and the fundamental role of complex exponents for ODEs. Next chapter on the Laplace Transform video: https://youtu.be/j0wJBEZdwLs Instead of sponsored ad reads, these lessons are funded directly by viewers: https://3b1b.co/support An equally valuable form of support is to simply share the videos. Home page: https://www.3blue1brown.com Timestamps: 0:00 - Intro 1:51 - Euler's formula explained dynamically 9:27 - The harmonic oscillator 21:08 - General linear equations 22:47 - Motivating the Laplace Transform ------------------ These animations are largely made using a custom Python library, manim. See the FAQ comments here: https://3b1b.co/faq#manim Music by Vincent Rubinetti. https://vincerubinetti.bandcamp.com/album/the-music-of-3blue1brown https://open.spotify.com/album/1dVyjwS8FBqXhRunaG5W5u ------------------ 3blue1brown is a channel about animating math, in all senses of the word animate. If you're reading the bottom of a video description, I'm guessing you're more interested than the average viewer in lessons here. It would mean a lot to me if you chose to stay up to date on new ones, either by subscribing here on YouTube or otherwise following on whichever platform below you check most regularly. Mailing list: https://3blue1brown.substack.com Twitter: https://twitter.com/3blue1brown Bluesky: https://bsky.app/profile/3blue1brown.com Instagram: https://www.instagram.com/3blue1brown Reddit: https://www.reddit.com/r/3blue1brown Facebook: https://www.facebook.com/3blue1brown Patreon: https://patreon.com/3blue1brown Website: https://www.3blue1brown.com https://www.youtube.com/embed/-j8PzkZ70Lg 2026-03-17T17:46:58.000Z 3Blue1Brown 1669 yes no https://vidert.com/v/math-education/video/15499/what-was-euclid-really-doing-guest-video-by-ben-syversen 2026-03-17T17:46:35.000Z weekly 0.5 https://i.ytimg.com/vi/M-MgQC6z3VU/maxresdefault.jpg What was Euclid really doing? | Guest video by Ben Syversen What role were ruler and compass constructions really serving? Check out Ben's channel: @bensyversen Interview with the author of this video: https://youtu.be/VohYM99j8e0 Supporters get early views of new videos: https://3b1b.co/support Written, produced, edited, and animated by Ben Syversen Additional editing: Jack Saxon 3d Blender model: Jan-Hendrik Müller Additional Blender help: Thibaut Modrzyk (@Deepia) Illustrations: Alex Zepherin/DonDada Studio Camera: Giacomo Belletti Drums: Jeremy Gustin Additional music from Epidemic Sound Special thanks to Viktor Blåsjö: https://intellectualmathematics.com/opinionated-history-of-mathematics/ Lean footage is borrowed from Alex Kontorovich’s lecture series on formal Euclidean geometry: https://www.youtube.com/playlist?list=PLs6rMe3K87LEkc2nd2VZVyLfgJH0Rgage References/Recommended reading: Euclid’s Elements: Visual edition of Book 1: https://intellectualmathematics.com/dl/Elements.pdf Euclid’s Elements in full: https://farside.ph.utexas.edu/books/Euclid/Elements.pdf The Thirteen Books of The Elements, translated with introduction and commentary by Sir Thomas L. Heath Commentary and academic papers: A Commentary on the First Book of Euclid’s Elements, Proclus, translated by Glenn R. Morrow Operationalism: An Interpretation of the Philosophy of Ancient Greek Geometry, Viktor Blåsjö: https://link.springer.com/article/10.1007/s10699-021-09791-4 The Euclidean Diagram, Kenneth Manders A New Look at Euclid’s Second Proposition, Godfried Toussaint https://www-cgrl.cs.mcgill.ca/~godfried/teaching/dm-reading-assignments/Euclid-Second-Proposition-Math-Intell.pdf Logic of Ruler and Compass Constructions, M. Beeson https://www.michaelbeeson.com/research/papers/Cambridge.pdf Euclid’s Fourth Postulate, Vincenzo De Risi https://www.cambridge.org/core/journals/science-in-context/article/abs/euclids-fourth-postulate-its-authenticity-and-significance-for-the-foundations-of-greek-mathematics/DD7EB8AFEDD350A0A8B0BE714D74D2EE Some related books: Euclid’s Window: The Story of Geometry https://www.youtube.com/embed/M-MgQC6z3VU 2026-03-17T17:46:35.000Z 3Blue1Brown 2009 yes no https://vidert.com/v/math-education/video/15498/incomplete-open-cubes 2026-03-17T17:46:19.000Z weekly 0.5 https://i.ytimg.com/vi/1lZpowy21Gc/maxresdefault.jpg Incomplete open cubes Full video: https://youtu.be/_BrFKp-U8GI https://www.youtube.com/embed/1lZpowy21Gc 2026-03-17T17:46:19.000Z 3Blue1Brown 72 yes no https://vidert.com/v/math-education/video/15497/exploration-epiphany-guest-video-by-paul-dancstep 2026-03-17T17:46:07.000Z weekly 0.5 https://i.ytimg.com/vi/_BrFKp-U8GI/maxresdefault.jpg Exploration & Epiphany | Guest video by Paul Dancstep Sol LeWitt's "Incomplete Open Cubes" and rediscovering Burnside's lemma in group theory An interview with the author of this video: https://youtu.be/JEeM2ABUMoo Instead of sponsored ad reads, these lessons are funded directly by viewers: https://3b1b.co/support An equally valuable form of support is to share the videos. Home page: https://www.3blue1brown.com Thanks to the Wadsworth Atheneum for granting permission to use LeWitt's notebooks. Talks by Paul you can find online: What is Category Theory: https://youtu.be/eXBwU9ieLL0 How to Predict Eclipses: https://www.exploratorium.edu/eclipse/video/how-predict-eclipses Theo Jansen's Strandbeests https://youtu.be/NxGTuQdp3IQ Timestamps 0:00 - Incomplete open cubes 3:21 - Sol LeWitt 7:10 - Goofing around 13:12 - Size and symmetry 16:50 - Labelling things 22:34 - Lookalikes 28:02 - Probing for patterns 33:11 - Counting using lookalikes 35:50 - Epiphany 45:50 - Formalizing 49:51 - Reflection ------------------ Music by Vincent Rubinetti. https://vincerubinetti.bandcamp.com/album/the-music-of-3blue1brown https://open.spotify.com/album/1dVyjwS8FBqXhRunaG5W5u ------------------ 3blue1brown is a channel about animating math, in all senses of the word animate. If you're reading the bottom of a video description, I'm guessing you're more interested than the average viewer in lessons here. It would mean a lot to me if you chose to stay up to date on new ones, either by subscribing here on YouTube or otherwise following on whichever platform below you check most regularly. Mailing list: https://3blue1brown.substack.com Twitter: https://twitter.com/3blue1brown Bluesky: https://bsky.app/profile/3blue1brown.com Instagram: https://www.instagram.com/3blue1brown Reddit: https://www.reddit.com/r/3blue1brown Facebook: https://www.facebook.com/3blue1brown Patreon: https://patreon.com/3blue1brown Website: https://www.3blue1brown.com https://www.youtube.com/embed/_BrFKp-U8GI 2026-03-17T17:46:07.000Z 3Blue1Brown 3132 yes no https://vidert.com/v/math-education/video/15496/simulating-and-understanding-phase-change-guest-video-by-vilas-winstein 2026-03-17T17:45:52.000Z weekly 0.5 https://i.ytimg.com/vi/itRV2jEtV8Q/maxresdefault.jpg Simulating and understanding phase change | Guest video by Vilas Winstein Deriving the Boltzmann formula, defining temperature, and simulating liquid/vapor. @SpectralCollective has the second part: https://youtu.be/yEcysu5xZH0 You can play with a simulation of this model here: https://vilas.us/simulations/liquidvapor/ These lessons are funded directly by viewers: https://3b1b.co/support Home page: https://www.3blue1brown.com Notes from Vilas: 1) This open problem is to prove the ergodicity of the deterministic dynamical systems that are used to model the molecule-level physics. A good example of such a dynamical system is the box with particles evolving according to Newton's laws with elastic collisions, like in the video. 2) This video assumes that all probability distributions are discrete, which is the case in the simulations. But one can also set up this formalism for systems with continuous state spaces. Again, a good example is particles in a box, which are not restricted to a lattice, which is only used for visualization purposes in this video. 3) Strictly speaking, these "derivatives" don't make sense since in our simulations the energy can only take on a discrete set of values. But a derivative is the right way to think about this, and is the correct notion in a limiting sense. 4) The factor of -T in the definition of the chemical potential is sort of a historical leftover, but including it has the convenient side effect of allowing the same Boltzmann formula to hold, with an energy function that depends on the chemical potential as well. It should also be noted that temperature must equalize in any situation where the chemical potential equalizes, since it is impossible for systems to exchange molecules without also exchanging energy. 5) This algorithm, where we only choose one pixel at a time, is called Glauber dynamics. There are multiple ways to parallelize it, but the method chosen in this video is to only update each pixel with a low probability at each call of the compute shader, to avoid (frequently) updating two neighboring pixels simultaneously. One could also a https://www.youtube.com/embed/itRV2jEtV8Q 2026-03-17T17:45:52.000Z 3Blue1Brown 2463 yes no https://vidert.com/v/math-education/video/15495/the-ai-that-solved-imo-geometry-problems-guest-video-by-aleph0 2026-03-17T17:45:26.000Z weekly 0.5 https://i.ytimg.com/vi/4NlrfOl0l8U/maxresdefault.jpg The AI that solved IMO Geometry Problems | Guest video by @Aleph0 How AlphaGeometry combines logic and intuition. Check out Aleph0’s channel: https://youtube.com/@Aleph0 Instead of sponsored ad reads, these lessons are funded directly by viewers: https://3b1b.co/support An equally valuable form of support is to share the videos. Home page: https://www.3blue1brown.com Special thanks to Trieu Trinh for fact-checking the script. Blog post on an open-sourced geometry solver: https://harmonic.fun/news#blog-post-geometry AlphaGeometry announcement: https://deepmind.google/discover/blog/alphageometry-an-olympiad-level-ai-system-for-geometry/ Similar open-source model, Newclid, by Harmonic: https://harmonic.fun/news#blog-post-geometry Timestamps: 0:00 - What's surprising 1:33 - Solve without AI 7:10 - Where AI comes in ------------------ 3blue1brown is a channel about animating math, in all senses of the word animate. If you're reading the bottom of a video description, I'm guessing you're more interested than the average viewer in lessons here. It would mean a lot to me if you chose to stay up to date on new ones, either by subscribing here on YouTube or otherwise following on whichever platform below you check most regularly. Mailing list: https://3blue1brown.substack.com Twitter: https://twitter.com/3blue1brown Bluesky: https://bsky.app/profile/3blue1brown.com Instagram: https://www.instagram.com/3blue1brown Reddit: https://www.reddit.com/r/3blue1brown Facebook: https://www.facebook.com/3blue1brown Patreon: https://patreon.com/3blue1brown Website: https://www.3blue1brown.com https://www.youtube.com/embed/4NlrfOl0l8U 2026-03-17T17:45:26.000Z 3Blue1Brown 811 yes no https://vidert.com/v/math-education/video/15494/but-how-do-ai-images-and-videos-actually-work-guest-video-by-welch-labs 2026-03-17T17:45:13.000Z weekly 0.5 https://i.ytimg.com/vi/iv-5mZ_9CPY/maxresdefault.jpg But how do AI images and videos actually work? | Guest video by Welch Labs Diffusion models, CLIP, and the math of turning text into images Welch Labs Book: https://www.welchlabs.com/resources/imaginary-numbers-book Sections 0:00 - Intro 3:37 - CLIP 6:25 - Shared Embedding Space 8:16 - Diffusion Models & DDPM 11:44 - Learning Vector Fields 22:00 - DDIM 25:25 - Dall E 2 26:37 - Conditioning 30:02 - Guidance 33:39 - Negative Prompts 34:27 - Outro 35:32 - About guest videos Special Thanks to: Jonathan Ho - Jonathan is the Author of the DDPM paper and the Classifier Free Guidance Paper. https://arxiv.org/pdf/2006.11239 https://arxiv.org/pdf/2207.12598 Preetum Nakkiran - Preetum has an excellent introductory diffusion tutorial: https://arxiv.org/pdf/2406.08929 Chenyang Yuan - Many of the animations in this video were implemented using manim and Chenyang’s smalldiffusion library: https://github.com/yuanchenyang/smalldiffusion Cheyang also has a terrific tutorial and MIT course on diffusion models https://www.chenyang.co/diffusion.html https://www.practical-diffusion.org/ Other References All of Sander Dieleman’s diffusion blog posts are fantastic: https://sander.ai/ CLIP Paper: https://arxiv.org/pdf/2103.00020 DDIM Paper: https://arxiv.org/pdf/2010.02502 Score-Based Generative Modeling: https://arxiv.org/pdf/2011.13456 Wan2.1: https://github.com/Wan-Video/Wan2.1 Stable Diffusion: https://huggingface.co/stabilityai/stable-diffusion-2 Midjourney: https://www.midjourney.com/ Veo: https://deepmind.google/models/veo/ DallE 2 paper: https://cdn.openai.com/papers/dall-e-2.pdf Code for this video: https://github.com/stephencwelch/manim_videos/tree/master/_2025/sora Written by: Stephen Welch, with very helpful feedback from Grant Sanderson Produced by: Stephen Welch, Sam Baskin, and Pranav Gundu Technical Notes The noise videos in the opening have been passed through a VAE (actually, diffusion process happens in a compressed “latent” space), which acts very much like a video compressor - this is why the noise videos don’t look like pure salt and pepper. 6:15 CLIP: Although directly minimizing https://www.youtube.com/embed/iv-5mZ_9CPY 2026-03-17T17:45:13.000Z 3Blue1Brown 2240 yes no https://vidert.com/v/math-education/video/15493/where-my-explanation-of-grover-s-algorithm-failed 2026-03-17T17:44:57.000Z weekly 0.5 https://i.ytimg.com/vi/Dlsa9EBKDGI/maxresdefault.jpg Where my explanation of Grover’s algorithm failed Addressing viewer questions from the last video: https://youtu.be/RQWpF2Gb-gU These lessons are funded directly by viewers: https://3b1b.co/support An equally valuable form of support is to share the videos. The subtitles on this video were done using AI, and are likely imperfect, but they are open for community corrections at https://criblate.com/ Timestamps: 0:00 - The confusion 1:25 - Example: Sudokus 7:58 - Linearity 14:19 - Is this useful? ------------------ These animations are largely made using a custom Python library, manim. See the FAQ comments here: https://3b1b.co/faq#manim https://github.com/3b1b/manim https://github.com/ManimCommunity/manim/ All code for specific videos is visible here: https://github.com/3b1b/videos/ The music is by Vincent Rubinetti. https://www.vincentrubinetti.com https://vincerubinetti.bandcamp.com/album/the-music-of-3blue1brown https://open.spotify.com/album/1dVyjwS8FBqXhRunaG5W5u ------------------ 3blue1brown is a channel about animating math, in all senses of the word animate. If you're reading the bottom of a video description, I'm guessing you're more interested than the average viewer in lessons here. It would mean a lot to me if you chose to stay up to date on new ones, either by subscribing here on YouTube or otherwise following on whichever platform below you check most regularly. Mailing list: https://3blue1brown.substack.com Twitter: https://twitter.com/3blue1brown Instagram: https://www.instagram.com/3blue1brown Reddit: https://www.reddit.com/r/3blue1brown Facebook: https://www.facebook.com/3blue1brown Patreon: https://patreon.com/3blue1brown Website: https://www.3blue1brown.com https://www.youtube.com/embed/Dlsa9EBKDGI 2026-03-17T17:44:57.000Z 3Blue1Brown 983 yes no https://vidert.com/v/math-education/video/15492/but-what-is-quantum-computing-grover-s-algorithm 2026-03-17T17:44:45.000Z weekly 0.5 https://i.ytimg.com/vi/RQWpF2Gb-gU/maxresdefault.jpg But what is quantum computing? (Grover's Algorithm) Qubits, state vectors, and Grover's algorithm for search. Instead of sponsored ad reads, these lessons are funded directly by viewers: https://3b1b.co/support An equally valuable form of support is to share the videos. The subtitles on this video were done using AI, and are likely imperfect, but they are open for community corrections at https://criblate.com/ Adam Brown's paper on the connection between Grover's Algorithm and block collisions: https://arxiv.org/pdf/1912.02207 If you want to learn the relevant underlying quantum mechanics here, a very friendly resource is the course Mithuna at Looking Glass Universe is currently putting together. See, for instance, this explainer of a qubit: https://youtu.be/kgSVkVNxXyU If you want to learn more about the fundamentals of quantum computing, my friends Michael Nielsen and Andy Matuschak put together this wonderful resource, aimed at ensuring long-term memory of core concepts: https://quantum.country/ BBBV Theorem: https://www.scottaaronson.com/qclec/23.pdf Timestamps: 0:00 - Misconceptions 6:03 - The state vector 12:00 - Qubits 15:52 - The vibe of quantum algorithms 18:38 - Grover’s Algorithm 29:30 - Support pitch 30:11 - Complex values 31:27 - Why square root? 34:01 - Connection to block collisions 35:08 - Additional resources ------------------ These animations are largely made using a custom Python library, manim. See the FAQ comments here: https://3b1b.co/faq#manim https://github.com/3b1b/manim https://github.com/ManimCommunity/manim/ All code for specific videos is visible here: https://github.com/3b1b/videos/ The music is by Vincent Rubinetti. https://www.vincentrubinetti.com https://vincerubinetti.bandcamp.com/album/the-music-of-3blue1brown https://open.spotify.com/album/1dVyjwS8FBqXhRunaG5W5u ------------------ 3blue1brown is a channel about animating math, in all senses of the word animate. If you're reading the bottom of a video description, I'm guessing you're more interested than the average viewer in lessons here. It would mean a lot to me https://www.youtube.com/embed/RQWpF2Gb-gU 2026-03-17T17:44:45.000Z 3Blue1Brown 2214 yes no https://vidert.com/v/math-education/video/15491/testing-your-intuition-for-quantum-computing 2026-03-17T17:44:23.000Z weekly 0.5 https://i.ytimg.com/vi/XX8mjBXBqz8/maxresdefault.jpg Testing your intuition for quantum computing Full video: https://youtu.be/RQWpF2Gb-gU https://www.youtube.com/embed/XX8mjBXBqz8 2026-03-17T17:44:23.000Z 3Blue1Brown 101 yes no https://vidert.com/v/math-education/video/15490/how-to-measure-nearby-galaxies 2026-03-17T17:44:08.000Z weekly 0.5 https://i.ytimg.com/vi/aQwEJKWATlE/maxresdefault.jpg How to measure nearby galaxies From this video: https://youtu.be/hFMaT9oRbs4 https://www.youtube.com/embed/aQwEJKWATlE 2026-03-17T17:44:08.000Z 3Blue1Brown 63 yes no https://vidert.com/v/math-education/video/15489/measuring-the-distance-to-venus-without-radar 2026-03-17T17:43:56.000Z weekly 0.5 https://i.ytimg.com/vi/aw-8BhCilj0/maxresdefault.jpg Measuring the distance to Venus without radar From this video with Terry Tao: https://youtu.be/hFMaT9oRbs4 https://www.youtube.com/embed/aw-8BhCilj0 2026-03-17T17:43:56.000Z 3Blue1Brown 141 yes no https://vidert.com/v/math-education/video/15488/measuring-the-speed-of-light-using-jupiter-s-moons 2026-03-17T17:43:43.000Z weekly 0.5 https://i.ytimg.com/vi/M6LUPYsjods/maxresdefault.jpg Measuring the speed of light using Jupiter's moons From this video with Terry Tao: https://youtu.be/hFMaT9oRbs4 https://www.youtube.com/embed/M6LUPYsjods 2026-03-17T17:43:43.000Z 3Blue1Brown 105 yes no https://vidert.com/v/math-education/video/15487/zooming-out-by-powers-of-10 2026-03-17T17:43:30.000Z weekly 0.5 https://i.ytimg.com/vi/C8baNzpnZ7o/maxresdefault.jpg Zooming out by powers of 10 From this video: https://youtu.be/YdOXS_9_P4U https://www.youtube.com/embed/C8baNzpnZ7o 2026-03-17T17:43:30.000Z 3Blue1Brown 98 yes no https://vidert.com/v/math-education/video/15486/why-colliding-blocks-compute-pi 2026-03-17T17:43:18.000Z weekly 0.5 https://i.ytimg.com/vi/6dTyOl1fmDo/maxresdefault.jpg Why colliding blocks compute pi The physics behind one of the most surprising occurrences of pi Next video on Grover's Algorithm: https://youtu.be/RQWpF2Gb-gU Instead of sponsored ad reads, these lessons are funded directly by viewers: https://3b1b.co/support An equally valuable form of support is to simply share the videos. Next video on Grover's Algorithm: https://youtu.be/RQWpF2Gb-gU The original paper by Gregory Galperin: https://www.maths.tcd.ie/~lebed/Galperin.%20Playing%20pool%20with%20pi.pdf Adam Brown's paper on the analogy with Grover's Algorithm: https://arxiv.org/pdf/1912.02207 Here's a lovely interactive built by GitHub user prajwalsouza after watching this video: https://prajwalsouza.github.io/Experiments/Colliding-Blocks.html Matt Parker's Pi Day video: https://youtu.be/vlUTlbZT4ig NY Times blog post about this problem: https://wordplay.blogs.nytimes.com/2014/03/10/pi/ Timestamps: 0:00 - Intro 0:48 - Recap, the surprise pi 3:58 - How to analyze the blocks 13:30 - The geometry puzzle 18:35 - Small angle approximations 23:30 - The value of pure puzzles SEV#7: https://youtu.be/RTCQYcOpmN4 The original version of this explanation (now unlisted): https://youtu.be/jsYwFizhncE ------------------ These animations are largely made using a custom Python library, manim. See the FAQ comments here: https://3b1b.co/faq#manim https://github.com/3b1b/manim https://github.com/ManimCommunity/manim/ All code for specific videos is visible here: https://github.com/3b1b/videos/ The music is by Vincent Rubinetti. https://www.vincentrubinetti.com https://vincerubinetti.bandcamp.com/album/the-music-of-3blue1brown https://open.spotify.com/album/1dVyjwS8FBqXhRunaG5W5u ------------------ 3blue1brown is a channel about animating math, in all senses of the word animate. If you're reading the bottom of a video description, I'm guessing you're more interested than the average viewer in lessons here. It would mean a lot to me if you chose to stay up to date on new ones, either by subscribing here on YouTube or otherwise following on whichever pl https://www.youtube.com/embed/6dTyOl1fmDo 2026-03-17T17:43:18.000Z 3Blue1Brown 1567 yes no https://vidert.com/v/math-education/video/15485/when-being-beautifully-wrong-leads-to-discovery 2026-03-17T17:43:05.000Z weekly 0.5 https://i.ytimg.com/vi/TZAC0WFemvE/maxresdefault.jpg When being beautifully wrong leads to discovery Full video: https://youtu.be/YdOXS_9_P4U https://www.youtube.com/embed/TZAC0WFemvE 2026-03-17T17:43:05.000Z 3Blue1Brown 61 yes no https://vidert.com/v/math-education/video/15484/why-the-ancient-greeks-rejected-heliocentrism 2026-03-17T17:42:52.000Z weekly 0.5 https://i.ytimg.com/vi/YP1mMXRCnaI/maxresdefault.jpg Why the ancient Greeks rejected heliocentrism From this video on the cosmic distance ladder: https://youtu.be/YdOXS_9_P4U https://www.youtube.com/embed/YP1mMXRCnaI 2026-03-17T17:42:52.000Z 3Blue1Brown 106 yes no https://vidert.com/v/math-education/video/15483/how-to-estimate-the-distance-to-the-sun 2026-03-17T17:42:39.000Z weekly 0.5 https://i.ytimg.com/vi/gzbFNnTCkqQ/maxresdefault.jpg How to estimate the distance to the sun Full video: https://youtu.be/YdOXS_9_P4U https://www.youtube.com/embed/gzbFNnTCkqQ 2026-03-17T17:42:39.000Z 3Blue1Brown 92 yes no https://vidert.com/v/math-education/video/15482/terence-tao-continuing-history-s-cleverest-cosmological-measurements 2026-03-17T17:42:28.000Z weekly 0.5 https://i.ytimg.com/vi/hFMaT9oRbs4/maxresdefault.jpg Terence Tao continuing history’s cleverest cosmological measurements How we know the distances to the planets, stars, and faraway galaxies. Instead of sponsored ad reads, these lessons are funded directly by viewers: https://3b1b.co/support FAQ with added details and corrections: https://terrytao.wordpress.com/2025/02/13/cosmic-distance-ladder-video-with-grant-sanderson-3blue1brown-commentary-and-corrections/ An equally valuable form of support is to simply share the videos. Terry and his collaborator Tanya have an Instagram about the cosmic distance ladder: https://www.instagram.com/cosmic_distance_ladder/ Artwork of Guillaume Le Gentil by Kurt Bruns Artwork of Antonia Maury and Henrietta Leavitt by Talia Gershon: https://bit.ly/taliagershonart Several of the great cosmological animations where by Paul Dancstep Timestamps: 0:00 - Intro 1:04 - Distance to Venus 7:30 - Speed of light 10:08 - Nearby stars 13:20 - The Milky Way 18:14 - Nearby Galaxies 19:44 - Distant Galaxies 22:42 - Lingering mysteries ------------------ These animations are largely made using a custom Python library, manim. See the FAQ comments here: https://3b1b.co/faq#manim https://github.com/3b1b/manim https://github.com/ManimCommunity/manim/ All code for specific videos is visible here: https://github.com/3b1b/videos/ The music is by Vincent Rubinetti. https://www.vincentrubinetti.com https://vincerubinetti.bandcamp.com/album/the-music-of-3blue1brown https://open.spotify.com/album/1dVyjwS8FBqXhRunaG5W5u ------------------ 3blue1brown is a channel about animating math, in all senses of the word animate. If you're reading the bottom of a video description, I'm guessing you're more interested than the average viewer in lessons here. It would mean a lot to me if you chose to stay up to date on new ones, either by subscribing here on YouTube or otherwise following on whichever platform below you check most regularly. Mailing list: https://3blue1brown.substack.com Twitter: https://twitter.com/3blue1brown Instagram: https://www.instagram.com/3blue1brown Reddit: https://www.reddit.com/r/3blue1brown Faceboo https://www.youtube.com/embed/hFMaT9oRbs4 2026-03-17T17:42:28.000Z 3Blue1Brown 1535 yes no https://vidert.com/v/math-education/video/15481/how-earth-s-size-was-computed-by-eratosthenes 2026-03-17T17:42:12.000Z weekly 0.5 https://i.ytimg.com/vi/9s0srZneJ38/maxresdefault.jpg How Earth's size was computed by Eratosthenes From this video: https://youtu.be/YdOXS_9_P4U https://www.youtube.com/embed/9s0srZneJ38 2026-03-17T17:42:12.000Z 3Blue1Brown 127 yes no https://vidert.com/v/math-education/video/15480/terence-tao-on-the-cosmic-distance-ladder 2026-03-17T17:41:59.000Z weekly 0.5 https://i.ytimg.com/vi/YdOXS_9_P4U/maxresdefault.jpg Terence Tao on the cosmic distance ladder The Cosmic Distance Ladder: How we learned distances in the heavens. Next part: https://youtu.be/hFMaT9oRbs4 Patreon supporters see early views of new videos: https://www.patreon.com/3blue1brown Artwork by Kurt Bruns Thanks to Paul Dancstep for several animations, such as the powers of 10 zoom out and the simulations of shadows on the moon. Terry has kindly cataloged many of the added nuances, including a few corrections, in this post: https://terrytao.wordpress.com/2025/02/13/cosmic-distance-ladder-video-with-grant-sanderson-3blue1brown-commentary-and-corrections/ As an additional one, the portrait shown for Kepler, despite being somewhat widespread, actually turns out not to be Kepler. See this article by Václav Pavlík https://ui.adsabs.harvard.edu/abs/2021PhT....74i..10S/abstract Also, although the Earth is about 4 times as wide as the Moon, as it happens, you would not see this with the lunar eclipse composites, since the umbra of Earth's shadow from the sun is sufficiently smaller than the Earth out where the Moon is. Moon composite shot by Reddit user _wanderloots: https://www.reddit.com/r/astrophotography/comments/yil0tu/partial_lunar_eclipse_composite/ https://youtube.com/@Wanderloots Thanks to Tanya Klowden for helpful conversations about the history of the distance ladder. Argument for why if every shadow of a convex shape is a circle, it must be a sphere: https://mathoverflow.net/questions/39127/is-the-sphere-the-only-surface-with-circular-projections-or-can-we-deduce-a-sp Timestamps: 0:00 - About Terence Tao and the Distance Ladder 2:02 - Earth 8:07 - Moon 11:15 - Sun 15:45 - Heliocentrism in Antiquity 18:27 - Kepler’s genius 27:16 - Where this leaves us SEV #5: https://youtu.be/uq83hprtpGE ------------------ These animations are largely made using a custom Python library, manim. See the FAQ comments here: https://3b1b.co/faq#manim https://github.com/3b1b/manim https://github.com/ManimCommunity/manim/ All code for specific videos is visible here: https://github.com/3b1b/videos/ The m https://www.youtube.com/embed/YdOXS_9_P4U 2026-03-17T17:41:59.000Z 3Blue1Brown 1713 yes no https://vidert.com/v/math-education/video/15479/measuring-the-earth-with-terence-tao 2026-03-17T17:41:47.000Z weekly 0.5 https://i.ytimg.com/vi/uT4-WVa-YfU/maxresdefault.jpg Measuring the earth with Terence Tao From this video: https://youtu.be/YdOXS_9_P4U https://www.youtube.com/embed/uT4-WVa-YfU 2026-03-17T17:41:47.000Z 3Blue1Brown 82 yes no https://vidert.com/v/math-education/video/15478/the-topology-of-two-note-chords 2026-03-17T17:41:34.000Z weekly 0.5 https://i.ytimg.com/vi/K-pGGb0f3tc/maxresdefault.jpg The topology of two-note chords Based on a construction in this video: https://youtu.be/IQqtsm-bBRU https://www.youtube.com/embed/K-pGGb0f3tc 2026-03-17T17:41:34.000Z 3Blue1Brown 123 yes no https://vidert.com/v/math-education/video/15477/the-barber-pole-optical-mystery 2026-03-17T17:41:21.000Z weekly 0.5 https://i.ytimg.com/vi/0TdBP9m4R74/maxresdefault.jpg The barber pole optical mystery Series exploring optics: https://www.youtube.com/watch?v=QCX62YJCmGk&list=PLZHQObOWTQDMKqfyUvG2kTlYt-QQ2x-ui https://www.youtube.com/embed/0TdBP9m4R74 2026-03-17T17:41:21.000Z 3Blue1Brown 180 yes no https://vidert.com/v/math-education/video/15476/thinking-through-double-slits 2026-03-17T17:41:06.000Z weekly 0.5 https://i.ytimg.com/vi/DgMhayP2NPU/maxresdefault.jpg Thinking through double slits Extracted from this video about holograms: https://youtu.be/EmKQsSDlaa4 https://www.youtube.com/embed/DgMhayP2NPU 2026-03-17T17:41:06.000Z 3Blue1Brown 109 yes no https://vidert.com/v/math-education/video/15475/this-open-problem-taught-me-what-topology-is 2026-03-17T17:40:53.000Z weekly 0.5 https://i.ytimg.com/vi/IQqtsm-bBRU/maxresdefault.jpg This open problem taught me what topology is The inscribed square/rectangle problem, solved using Möbius strips and Klein bottles. Playlist with more neat proofs: https://www.youtube.com/playlist?list=PLZHQObOWTQDPSKntUcMArGheySM4gL7wS Instead of sponsored ad reads, these lessons are funded directly by viewers: https://3b1b.co/support An equally valuable form of support is to simply share the videos. This argument was originally by Herbert Vaughan, appearing for examples in this issue of the Topology Proceedings. https://topology.nipissingu.ca/tp/reprints/v06/tp06107.pdf The on-screen argument for why all closed non-orientable surfaces must intersect themselves in 3d is a slight variation on one I heard from Dan Asimov. 2020 Paper by Greene and Lobb: https://arxiv.org/pdf/2005.09193 Nice Quanta article about this result: https://www.quantamagazine.org/new-geometric-perspective-cracks-old-problem-about-rectangles-20200625/ Timestamps: 0:00 - Inscribed squares 1:00 - Preface to the second edition 3:04 - The main surface 10:47 - The secret surface 16:45 - Klein bottles 22:38 - Why are squares harder? 25:10 - What is topology? ------------------ These animations are largely made using a custom Python library, manim. See the FAQ comments here: https://3b1b.co/faq#manim https://github.com/3b1b/manim https://github.com/ManimCommunity/manim/ All code for specific videos is visible here: https://github.com/3b1b/videos/ The music is by Vincent Rubinetti. https://www.vincentrubinetti.com https://vincerubinetti.bandcamp.com/album/the-music-of-3blue1brown https://open.spotify.com/album/1dVyjwS8FBqXhRunaG5W5u ------------------ 3blue1brown is a channel about animating math, in all senses of the word animate. If you're reading the bottom of a video description, I'm guessing you're more interested than the average viewer in lessons here. It would mean a lot to me if you chose to stay up to date on new ones, either by subscribing here on YouTube or otherwise following on whichever platform below you check most regularly. Mailing list: https://3blue1brown.substa https://www.youtube.com/embed/IQqtsm-bBRU 2026-03-17T17:40:53.000Z 3Blue1Brown 1646 yes no https://vidert.com/v/math-education/video/15474/the-meaning-within-the-mandelbrot-set 2026-03-17T17:40:37.000Z weekly 0.5 https://i.ytimg.com/vi/y9BK--OxZpY/maxresdefault.jpg The meaning within the Mandelbrot set The full video dives deeper into the field of math studying this called holomorphic dynamics: https://youtu.be/LqbZpur38nw https://www.youtube.com/embed/y9BK--OxZpY 2026-03-17T17:40:37.000Z 3Blue1Brown 105 yes no https://vidert.com/v/math-education/video/15473/this-puzzle-is-trickier-than-it-seems 2026-03-17T17:40:10.000Z weekly 0.5 https://i.ytimg.com/vi/nAT-MCsJeik/maxresdefault.jpg This puzzle is trickier than it seems From this full video: https://youtu.be/piJkuavhV50 https://www.youtube.com/embed/nAT-MCsJeik 2026-03-17T17:40:10.000Z 3Blue1Brown 105 yes no https://vidert.com/v/math-education/video/15472/sphere-surface-area-proof-sketch 2026-03-17T17:39:58.000Z weekly 0.5 https://i.ytimg.com/vi/EPDZTLavmcg/maxresdefault.jpg Sphere surface area proof sketch Full video: https://youtu.be/GNcFjFmqEc8 https://www.youtube.com/embed/EPDZTLavmcg 2026-03-17T17:39:58.000Z 3Blue1Brown 85 yes no https://vidert.com/v/math-education/video/15471/newton-s-fractal-is-beautiful 2026-03-17T17:39:47.000Z weekly 0.5 https://i.ytimg.com/vi/LOulCFdVOGY/maxresdefault.jpg Newton’s Fractal is beautiful Full video: https://youtu.be/-RdOwhmqP5s https://www.youtube.com/embed/LOulCFdVOGY 2026-03-17T17:39:47.000Z 3Blue1Brown 180 yes no https://vidert.com/v/math-education/video/15470/the-triangle-of-power 2026-03-17T17:39:36.000Z weekly 0.5 https://i.ytimg.com/vi/JNVZK4ofW-Y/maxresdefault.jpg The Triangle Of Power The referenced stack exchange post by usename 2'5 9'2, http://math.stackexchange.com/questions/30046/alternative-notation-for-exponents-logs-and-roots https://www.youtube.com/embed/JNVZK4ofW-Y 2026-03-17T17:39:36.000Z 3Blue1Brown 147 yes no https://vidert.com/v/math-education/video/15469/the-twirling-tiles-puzzle 2026-03-17T17:39:23.000Z weekly 0.5 https://i.ytimg.com/vi/0W243LGSJFU/maxresdefault.jpg The twirling tiles puzzle Full video: https://youtu.be/piJkuavhV50 https://www.youtube.com/embed/0W243LGSJFU 2026-03-17T17:39:23.000Z 3Blue1Brown 60 yes no https://vidert.com/v/math-education/video/15468/a-bizarre-probability-fact 2026-03-17T17:39:11.000Z weekly 0.5 https://i.ytimg.com/vi/Pny70rNPJLk/maxresdefault.jpg A bizarre probability fact I learned this from Matt Parker, who then made a full video: https://youtu.be/ga9Qk38FaHM https://www.youtube.com/embed/Pny70rNPJLk 2026-03-17T17:39:11.000Z 3Blue1Brown 169 yes no https://vidert.com/v/math-education/video/15467/five-puzzles-for-thinking-outside-the-box 2026-03-17T17:39:01.000Z weekly 0.5 https://i.ytimg.com/vi/piJkuavhV50/maxresdefault.jpg Five puzzles for thinking outside the box Geometry puzzles that benefit from shifting the dimension. Bonus video with extra puzzles: https://www.patreon.com/posts/115570453 The artwork at the end is by Kurt Bruns Thanks to Daniel Kim for sharing the first two puzzles with me. He mentioned the earliest reference he knows for the tile puzzles is David and Tomei's AMM article titled "The problem of Calissons." The idea to include the tetrahedron volume example was based on a conversation with Po Shen Lo about these puzzles, during which he mentioned the case of one dimension lower. I received the cone correction to the proof of Monge's theorem from Akos Zahorsky via email. Also, the Bulgarian team leader Velian Velikov brought up the same argument, and just shot me a message saying "I came across it in a book I found online titled 'Mathematical Puzzles' by Peter Winkler. There, it is attributed to Nathan Bowler" I referenced quaternions at the end, and if you're curious to learn more, here are a few options. This is a nice talk targetted at game developers: https://youtu.be/en2QcehKJd8 This video walks through concretely what the computation is for using quaternions to compute 3d rotations: https://youtu.be/-zsnHbQyRnc My own video on the topic is mainly focused on understanding what they do up in four dimensions, which is not strictly necessary for using them, but for math nerds like me may be satisfying: https://youtu.be/d4EgbgTm0Bg Also, one of the coolest projects I've ever done was a collaboration with Ben Eater to make interactive videos based on that topic: https://eater.net/quaternions Timestamps - 0:00 - Intro - 0:32 - Twirling tiles - 6:45 - Tarski Plank Problem - 10:24 - Monge’s Theorem - 17:26 - 3D Volume, 4D answer - 18:51 - The hypercube stack - 25:52 - The sadness of higher dimensions SEV#3: https://youtu.be/vXBtyYvMx24 ------------------ These animations are largely made using a custom Python library, manim. See the FAQ comments here: https://3b1b.co/faq#manim https://github.com/3b1b/manim https://github.com/ManimCommunity/m https://www.youtube.com/embed/piJkuavhV50 2026-03-17T17:39:01.000Z 3Blue1Brown 1782 yes no https://vidert.com/v/math-education/video/15466/3867632931-10-10001-1-numberphile 2026-03-17T17:38:48.000Z weekly 0.5 https://i.ytimg.com/vi/6cw9QJw6J60/maxresdefault.jpg 3867632931 × 10^10001 +1 - Numberphile Matt Parker explains there's a new title-holder for the largest known reversible prime (or Emirp). Learn for free on Brilliant (and get 20% off a premium subscription) at https://brilliant.org/numberphile (episode sponsor) -- More links & stuff in full description below ↓↓↓ Full interview with Stephan Schöler (who discovered the number) - https://youtu.be/Rd8moV7jVX0 Patrons can watch a timelapse of Brady filming Matt for this video - https://www.patreon.com/posts/150828843 More Matt on Numberphile - https://www.youtube.com/playlist?list=PLt5AfwLFPxWKuRpivZd_ivR2EvEzKrDUu MATT PARKER LINKS Website - https://standupmaths.com/ Live shows - https://standupmaths.com/shows/ Books - https://mathsgear.co.uk/collections/books Books on Amazon - https://amzn.to/4rK4j3C Penguin UK: https://www.penguin.co.uk/authors/77633/matt-parker Penguin Random House US: https://www.penguinrandomhouse.com/authors/2198716/matt-parker/ YouTube channel (standupmaths) - https://www.youtube.com/user/standupmaths Prime number playlist: https://www.youtube.com/playlist?list=PL0D0BD149128BB06F Patreon: http://www.patreon.com/numberphile Numberphile is supported by Jane Street. Learn more about them (and exciting career opportunities) at: https://bit.ly/numberphile-janestreet We are also grateful for support from the Ben Delo Foundation - https://delo.org/ NUMBERPHILE Website: http://www.numberphile.com/ Video by Brady Haran and Pete McPartlan Numberphile T-Shirts and Merch: https://teespring.com/stores/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9 https://www.youtube.com/embed/6cw9QJw6J60 2026-03-17T17:38:48.000Z Numberphile 744 yes no https://vidert.com/v/math-education/video/15465/the-15-game-numberphile 2026-03-17T17:38:36.000Z weekly 0.5 https://i.ytimg.com/vi/UafhPUOCM1E/maxresdefault.jpg The 15-Game - Numberphile Ben Sparks explores hidden depths of a seemingly simple game. More on Jane Street's AMP program at https://jane-st.co/Numberphile-AMP-2026 (sponsor) -- More links & stuff in full description below ↓↓↓ An extra snippet on Numberphile2: https://youtu.be/lz2POMYd4YM And a 4.5-minute longer version of this video can be watched by Patrons: https://www.patreon.com/posts/150089653 Ben Sparks own website (you can book him for talks and training, etc): https://www.bensparks.co.uk/ More Ben on Numberphile: https://www.youtube.com/playlist?list=PLt5AfwLFPxWLDKmnxLg8477hrxY33LL6q The game can be played without the grid at https://15game.bensparks.co.uk/ and can be played with the magic square grid at https://15game.bensparks.co.uk/gameTTT.html Patreon: http://www.patreon.com/numberphile Numberphile is supported by Jane Street. Learn more about them (and exciting career opportunities) at: https://bit.ly/numberphile-janestreet We are also grateful for support from the Ben Delo Foundation - https://delo.org/ NUMBERPHILE Website: http://www.numberphile.com/ Video by Brady Haran and Pete McParlan (who did the stop motion!) Numberphile T-Shirts and Merch: https://teespring.com/stores/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9 https://www.youtube.com/embed/UafhPUOCM1E 2026-03-17T17:38:36.000Z Numberphile 838 yes no https://vidert.com/v/math-education/video/15464/tools-of-the-trade-for-infinite-sums-numberphile 2026-03-17T17:38:24.000Z weekly 0.5 https://i.ytimg.com/vi/sgMqrT8ilyU/maxresdefault.jpg Tools of the Trade (for infinite sums) - Numberphile Ed Copeland goes deep as we explore how we cracked an infinite sum relating to black holes. The extra bit as at https://youtu.be/s8Jd8Z7A5tA -- More links & stuff in full description below ↓↓↓ Ed Copeland is a physics professor at The University of Nottingham More Ed on Numberphile - https://www.youtube.com/playlist?list=PLt5AfwLFPxWJwf-59lYWThTpSj2Ivt5jB Ed on our sister physics channel Sixty Symbols - https://www.youtube.com/playlist?list=PLcUY9vudNKBNtF1y-sneLuyCTE-Mda561 Patreon: http://www.patreon.com/numberphile All our Patreon supporters: https://www.numberphile.com/patrons Numberphile is supported by Jane Street. Learn more about them (and exciting career opportunities) at: https://bit.ly/numberphile-janestreet We are also grateful for support from the Ben Delo Foundation - https://delo.org/ NUMBERPHILE Website: http://www.numberphile.com/ Videos by Brady Haran Numberphile T-Shirts and Merch: https://teespring.com/stores/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9 https://www.youtube.com/embed/sgMqrT8ilyU 2026-03-17T17:38:24.000Z Numberphile 860 yes no https://vidert.com/v/math-education/video/15463/a-fake-fields-medal-numberphile 2026-03-17T17:38:09.000Z weekly 0.5 https://i.ytimg.com/vi/JWtD0O-zSWY/maxresdefault.jpg A Fake Fields Medal - Numberphile Fields Medallist Hugo Duminil-Copin would like a replica of his prize for outreach purposes. We interview him about the famous medal and his mathematical work. More links & stuff in full description below ↓↓↓ Podcast version of the interview: https://youtu.be/jWiKKq_Q5n8 Hugo is based at the University of Geneva and IHES - https://www.ihes.fr/~duminil/ More Numberphile interviews and videos with Fields Medallists - https://www.youtube.com/playlist?list=PLt5AfwLFPxWIDErJihuPX2S7E-0rnkaeu With thanks to Nils Berglund for visualisations of percolation - https://www.youtube.com/c/NilsBerglund Fields Medal 2022 - https://www.mathunion.org/imu-awards/fields-medal/fields-medals-2022 Brady's Zeeman Medal lecture is which he gets his hand on a Fields Medal - https://youtu.be/tsZkzxEhpHk Cedric Villani on his Fields Medal - https://youtu.be/Vp3sgYKULp0 James Maynard on his Fields Medal - https://youtu.be/eupAXdWPvX8 Patreon: http://www.patreon.com/numberphile Numberphile is supported by Jane Street. Learn more about them (and exciting career opportunities) at: https://bit.ly/numberphile-janestreet We are also grateful for support from the Ben Delo Foundation - https://delo.org/ NUMBERPHILE Website: http://www.numberphile.com/ Video by Brady Haran and James Hennessy Numberphile T-Shirts and Merch: https://teespring.com/stores/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9 https://www.youtube.com/embed/JWtD0O-zSWY 2026-03-17T17:38:09.000Z Numberphile 1179 yes no https://vidert.com/v/math-education/video/15462/euclid-s-algorithm-numberphile 2026-03-17T17:38:00.000Z weekly 0.5 https://i.ytimg.com/vi/6Y3jHHE_hbA/maxresdefault.jpg Euclid's Algorithm - Numberphile Sophie Maclean demonstrates some fun properties of Euclid's Algorithm. Episode sponsor Brilliant has 30-day free trial and 20% discount - more at https://brilliant.org/numberphile More links & stuff in full description below ↓↓↓ Sophie Playlist: https://www.youtube.com/playlist?list=PLt5AfwLFPxWJL8jqE19RlDCMJp7psCA6r Sophie Maclean is based at Kings College, London: https://sophiethemathmo.wordpress.com Ayliean playlist: https://www.youtube.com/playlist?list=PLt5AfwLFPxWIVNbbisfbcJKpb44__r2Rw Patreon: http://www.patreon.com/numberphile Numberphile is supported by Jane Street. Learn more about them (and exciting career opportunities) at: https://bit.ly/numberphile-janestreet We are also grateful for support from the Ben Delo Foundation - https://delo.org/ NUMBERPHILE Website: http://www.numberphile.com/ Videos by Brady Haran Numberphile T-Shirts and Merch: https://teespring.com/stores/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9 https://www.youtube.com/embed/6Y3jHHE_hbA 2026-03-17T17:38:00.000Z Numberphile 765 yes no https://vidert.com/v/math-education/video/15461/base-fibonacci-numberphile 2026-03-17T17:37:47.000Z weekly 0.5 https://i.ytimg.com/vi/S5FTe5KP2Cw/maxresdefault.jpg Base Fibonacci - Numberphile Tony Padilla does a 'magic trick' with Fibonacci numbers and talks about Zeckendorf decompositions. More links & stuff in full description below ↓↓↓ More Tony on Numberphile - https://www.youtube.com/playlist?list=PLt5AfwLFPxWL8KAJKO3WfHhJcWrJfjgfU More Tony of Sixty Symbols (our physics channel) - https://www.youtube.com/playlist?list=PLcUY9vudNKBPJmX64Jay51cdZTKMz4ACs Tony is a physics professor at the University of Nottingham. His book Fantastic Numbers and Where to Find Them - https://amzn.to/3VywNyy Patreon: http://www.patreon.com/numberphile Numberphile is supported by Jane Street. Learn more about them (and exciting career opportunities) at: https://bit.ly/numberphile-janestreet We are also grateful for support from the Ben Delo Foundation - https://delo.org/ NUMBERPHILE Website: http://www.numberphile.com/ Video by Brady Haran and Pete McPartlan Numberphile T-Shirts and Merch: https://teespring.com/stores/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9 https://www.youtube.com/embed/S5FTe5KP2Cw 2026-03-17T17:37:47.000Z Numberphile 527 yes no https://vidert.com/v/math-education/video/15460/almost-interesting-facts-about-6-7-numberphile 2026-03-17T17:37:34.000Z weekly 0.5 https://i.ytimg.com/vi/qdXiQ6IM-Cs/maxresdefault.jpg Almost Interesting Facts about 6-7 - Numberphile Part 2 of Tony Padilla's deep dive into 6-7. The full set of videos are here... https://www.youtube.com/playlist?list=PLt5AfwLFPxWK9aLnVoe-HcCJ62WkHCAAe More links & stuff in full description below ↓↓↓ Heegner Numbers - https://youtu.be/mw4DM1952KI Tony Padilla's book Fantastic Numbers and Where to Find Them - https://amzn.to/3VywNyy More from Tony on Numberphile - https://www.youtube.com/playlist?list=PLt5AfwLFPxWL8KAJKO3WfHhJcWrJfjgfU Plus Tony on Sixty Symbols - https://www.youtube.com/playlist?list=PLcUY9vudNKBPJmX64Jay51cdZTKMz4ACs Patreon: http://www.patreon.com/numberphile Numberphile is supported by Jane Street. Learn more about them (and exciting career opportunities) at: https://bit.ly/numberphile-janestreet We are also grateful for support from the Ben Delo Foundation - https://delo.org/ NUMBERPHILE Website: http://www.numberphile.com/ Video by Brady Haran and Pete McPartlan Numberphile T-Shirts and Merch: https://teespring.com/stores/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9 https://www.youtube.com/embed/qdXiQ6IM-Cs 2026-03-17T17:37:34.000Z Numberphile 709 yes no https://vidert.com/v/math-education/video/15459/super-facts-about-6-7-numberphile 2026-03-17T17:37:22.000Z weekly 0.5 https://i.ytimg.com/vi/Lw-D8ThqWaE/maxresdefault.jpg Super Facts about 6-7 - Numberphile Tony Padilla takes a mathematical look at the pair of numbers 6-7 and why they are a perfect prime pair - plus SUPER PRIMES. The other videos from this interview are at https://www.youtube.com/playlist?list=PLt5AfwLFPxWK9aLnVoe-HcCJ62WkHCAAe More links & stuff in full description below ↓↓↓ Our prime number playlist - https://www.youtube.com/playlist?list=PL0D0BD149128BB06F Our perfect number playlist - https://www.youtube.com/playlist?list=PLt5AfwLFPxWJILwhaYs0Cz76-XK4cu3WC Tony Padilla's book Fantastic Numbers and Where to Find Them - https://amzn.to/3VywNyy More from Tony on Numberphile - https://www.youtube.com/playlist?list=PLt5AfwLFPxWL8KAJKO3WfHhJcWrJfjgfU Plus Tony on Sixty Symbols - https://www.youtube.com/playlist?list=PLcUY9vudNKBPJmX64Jay51cdZTKMz4ACs Patreon: http://www.patreon.com/numberphile Numberphile is supported by Jane Street. Learn more about them (and exciting career opportunities) at: https://bit.ly/numberphile-janestreet We are also grateful for support from the Ben Delo Foundation - https://delo.org/ NUMBERPHILE Website: http://www.numberphile.com/ Video by Brady Haran and Pete McPartlan Numberphile T-Shirts and Merch: https://teespring.com/stores/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9 https://www.youtube.com/embed/Lw-D8ThqWaE 2026-03-17T17:37:22.000Z Numberphile 644 yes no https://vidert.com/v/math-education/video/15458/an-unexpected-twist-on-m-bius-strips-numberphile 2026-03-17T17:37:08.000Z weekly 0.5 https://i.ytimg.com/vi/izIKV98Awnw/maxresdefault.jpg An Unexpected Twist on Möbius Strips - Numberphile Ben Sparks uses simulations for a new insight into Möbius loops. More links & stuff in full description below ↓↓↓ Ben Sparks: https://www.bensparks.co.uk More Ben Sparks on Numberphile: http://bit.ly/Sparks_Playlist Möbius videos on Numberphile - https://www.youtube.com/playlist?list=PLt5AfwLFPxWLX3Y7d3Hqq-qcsDTRaZef6 Ben's Geogebra file for this video - https://www.geogebra.org/m/v5z33vth Patreon: http://www.patreon.com/numberphile Numberphile is supported by Jane Street. Learn more about them (and exciting career opportunities) at: https://bit.ly/numberphile-janestreet We are also grateful for support from the Ben Delo Foundation - https://delo.org/ NUMBERPHILE Website: http://www.numberphile.com/ Video by Brady Haran and Pete McPartlan Numberphile T-Shirts and Merch: https://teespring.com/stores/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9 https://www.youtube.com/embed/izIKV98Awnw 2026-03-17T17:37:08.000Z Numberphile 731 yes no https://vidert.com/v/math-education/video/15457/100000001-is-divisible-by-17-numberphile 2026-03-17T17:36:55.000Z weekly 0.5 https://i.ytimg.com/vi/6JrFu0xj0bs/maxresdefault.jpg 100000001 is divisible by 17 - Numberphile Featuring Matt Parker. Learn for free on Brilliant (and get 20% off a premium subscription) at https://brilliant.org/numberphile (episode sponsor). Extended footnote and other links in full description below ↓↓↓ Extra clips and outtakes from this video on our Patreon - https://www.patreon.com/posts/145064106 Matt Parker books - https://mathsgear.co.uk/collections/books And Matt's books on Amazon - https://amzn.to/4rK4j3C Penguin UK: https://www.penguin.co.uk/authors/77633/matt-parker Penguin Random House US: https://www.penguinrandomhouse.com/authors/2198716/matt-parker/ Matt Parker - https://standupmaths.com/ Matt's YouTube channel (standupmaths) - https://www.youtube.com/user/standupmaths More Matt on Numberphile - https://www.youtube.com/playlist?list=PLt5AfwLFPxWKuRpivZd_ivR2EvEzKrDUu FOOTNOTE TO THIS VIDEO * I contacted Wilfrid Keller after filming about his retired website, and he replied with the following... "I am delighted by your interest in the topic of 'Prime factors of generalized Fermat numbers Fm(10) and complete factoring status'. The (constantly updated) webpage with exactly this title is still available at http://www.prothsearch.com/GFN10.html (only the Internet domain has changed to http://www.prothsearch.com/ about nine years ago). Some remarkable results have been achieved in the meantime. The largest prime factor currently known of a number Fm(10) has 4666663 digits (you might also have a look at https://t5k.org/top20/page.php?id=10 ), and large prime factors for m = 14 or 15 are likewise exceptional. May I point out that similar "factoring status" pages are also maintained for bases a = 3, 5, 6, 7, 11, 12 at http://www.prothsearch.com/ " Patreon: http://www.patreon.com/numberphile Numberphile is supported by Jane Street. Learn more about them (and exciting career opportunities) at: https://bit.ly/numberphile-janestreet We are also grateful for support from the Ben Delo Foundation - https://delo.org/ NUMBERPHILE Website: http://www.numberphile.com/ Video by Brady Haran and Pete https://www.youtube.com/embed/6JrFu0xj0bs 2026-03-17T17:36:55.000Z Numberphile 1373 yes no https://vidert.com/v/math-education/video/15456/closer-look-at-the-birthday-paradox-numberphile 2026-03-17T17:36:44.000Z weekly 0.5 https://i.ytimg.com/vi/OUQVhnuTMVU/maxresdefault.jpg Closer Look at the Birthday Paradox - Numberphile Featuring Tom Crawford (happy birthday!) - More links & stuff in full description below ↓↓↓ Extra footage from this video and interview - https://youtu.be/4rdLQso6_8U See our original video from 2012 - https://www.youtube.com/watch?v=a2ey9a70yY0 Tom Crawford playlist on Numberphile - https://www.youtube.com/playlist?list=PLt5AfwLFPxWJ2TNTA79reKQ6S88kTvDR- Tom Crawford website - https://tomrocksmaths.com/ Tom's YouTube channel - https://www.youtube.com/tomrocksmaths Patreon: http://www.patreon.com/numberphile Numberphile is supported by Jane Street. Learn more about them (and exciting career opportunities) at: https://bit.ly/numberphile-janestreet We are also grateful for support from the Ben Delo Foundation - https://delo.org/ NUMBERPHILE Website: http://www.numberphile.com/ Videos by Brady Haran Animation by Pete McPartlan Numberphile T-Shirts and Merch: https://teespring.com/stores/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9 https://www.youtube.com/embed/OUQVhnuTMVU 2026-03-17T17:36:44.000Z Numberphile 1007 yes no https://vidert.com/v/math-education/video/15455/polyominoes-on-chessboards-numberphile 2026-03-17T17:36:33.000Z weekly 0.5 https://i.ytimg.com/vi/6QoP80i_i5A/maxresdefault.jpg Polyominoes on Chessboards - Numberphile Sophie is back with more Polyominoes. Check our Jane Street internships in Hong Kong and elsewhere - https://jane-st.co/hkginternship26-numberphile More links & stuff in full description below ↓↓↓ Previous Polyominoes with Sophie Pentominoes: https://youtu.be/ONdgXYEBihA Snakey: https://youtu.be/ouTE-GYGIA8 Sophie Playlist: https://www.youtube.com/playlist?list=PLt5AfwLFPxWJL8jqE19RlDCMJp7psCA6r Sophie Maclean is based at Kings College, London: https://sophiethemathmo.wordpress.com Patreon: http://www.patreon.com/numberphile Numberphile is supported by Jane Street. Learn more about them (and exciting career opportunities) at: https://bit.ly/numberphile-janestreet We are also grateful for support from the Ben Delo Foundation - https://delo.org/ NUMBERPHILE Website: http://www.numberphile.com/ Video by Brady Haran and Pete McPartlan Numberphile T-Shirts and Merch: https://teespring.com/stores/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9 https://www.youtube.com/embed/6QoP80i_i5A 2026-03-17T17:36:33.000Z Numberphile 755 yes no https://vidert.com/v/math-education/video/15454/the-graph-reconstruction-conjecture-numberphile 2026-03-17T17:36:19.000Z weekly 0.5 https://i.ytimg.com/vi/dWVCl4p-Zyc/maxresdefault.jpg The Graph Reconstruction Conjecture - Numberphile Elise Raphael takes us on a journey through graph reconstruction. Extras from this interview - https://youtu.be/6AqA2nIHtxg More links & stuff in full description below ↓↓↓ Elise Raphael - https://www.unige.ch/math/la-section/enseignants-et-chercheurs/elise-raphael More graph videos... Subcubic graph numbers - https://youtu.be/4-eXjTH6Mq4 Book embedding - https://youtu.be/qw2Pl_Nk3CA Graph breakthrough - https://youtu.be/Tnu_Ws7Llo4 Planar graphs - https://youtu.be/xBkTIp6ajAg Hadwiger-Nelson problem - https://youtu.be/niaeV_NHh-o Graph theory playlist - https://www.youtube.com/playlist?list=PLt5AfwLFPxWIO0rkWl44MhS_PLLqu3Kvr Some references... A congruence theorem for trees (Kelly) - https://projecteuclid.org/journals/pacific-journal-of-mathematics/volume-7/issue-1/A-congruence-theorem-for-trees/pjm/1103043674.full Patreon: http://www.patreon.com/numberphile Numberphile is supported by Jane Street. Learn more about them (and exciting career opportunities) at: https://bit.ly/numberphile-janestreet We are also grateful for support from the Ben Delo Foundation - https://delo.org/ NUMBERPHILE Website: http://www.numberphile.com/ Video by Brady Haran and Pete McPartlan Numberphile T-Shirts and Merch: https://teespring.com/stores/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9 https://www.youtube.com/embed/dWVCl4p-Zyc 2026-03-17T17:36:19.000Z Numberphile 1515 yes no https://vidert.com/v/math-education/video/15453/return-of-the-calculator-unboxing-numberphile 2026-03-17T17:36:06.000Z weekly 0.5 https://i.ytimg.com/vi/rD6e925w4Ys/maxresdefault.jpg Return of the Calculator Unboxing - Numberphile Previous Unboxings here - https://www.youtube.com/playlist?list=PLt5AfwLFPxWKAINNfxIdYmFVKuk_F_cQq Featuring Matt Parker - Matt's on tour (shows coming up in the UK) - https://standupmaths.com/shows/ - More links & stuff in full description below ↓↓↓ South Surrey and Associated Regions Calculator Appreciation Society for Professionals and Amateurs - https://www.ssaarcasfpaa.com/ More Matt Parker on Numberphile - https://www.youtube.com/playlist?list=PLt5AfwLFPxWKuRpivZd_ivR2EvEzKrDUu Matt's own channel (Standupmaths) - https://www.youtube.com/standupmaths Patreon: http://www.patreon.com/numberphile Numberphile is supported by Jane Street. Learn more about them (and exciting career opportunities) at: https://bit.ly/numberphile-janestreet We are also grateful for support from the Ben Delo Foundation - https://delo.org/ NUMBERPHILE Website: http://www.numberphile.com/ Videos by Brady Haran Numberphile T-Shirts and Merch: https://teespring.com/stores/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9 https://www.youtube.com/embed/rD6e925w4Ys 2026-03-17T17:36:06.000Z Numberphile 552 yes no https://vidert.com/v/math-education/video/15452/the-real-story-of-calculus-numberphile 2026-03-17T17:35:53.000Z weekly 0.5 https://i.ytimg.com/vi/G23Jx0kPCSI/maxresdefault.jpg The Real Story of Calculus - Numberphile This video features Swagat Saurav Mishr discussing the research of Professor P.P.Divakaran, and the very early history of calculus in India. More links & stuff in full description below ↓↓↓ Swagat Saurav Mishr: https://swagatam18.wordpress.com/ Newton v Leibniz on Objectivity: https://www.youtube.com/watch?v=LN--erHStqA Some Calculus on Numberphile: https://www.numberphile.com/videos/category/Calculus Swagat talking Gravitational Waves on Sixty Symbols: https://www.youtube.com/watch?v=S85D-rdTyCw The passing of P.P.Divakaran: https://english.mathrubhumi.com/columns/view-from-my-window/divakaran-scientist-historian-truth-seeker-p2v6756c See also: https://bhavana.org.in/puthan-purayil-divakaran-1936-2025/ Patreon: http://www.patreon.com/numberphile Numberphile is supported by Jane Street. Learn more about them (and exciting career opportunities) at: https://bit.ly/numberphile-janestreet We are also grateful for support from the Ben Delo Foundation - https://delo.org/ NUMBERPHILE Website: http://www.numberphile.com/ Video by Brady Haran & James Hennessy Numberphile T-Shirts and Merch: https://teespring.com/stores/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9 https://www.youtube.com/embed/G23Jx0kPCSI 2026-03-17T17:35:53.000Z Numberphile 835 yes no https://vidert.com/v/math-education/video/15451/schur-numbers-the-world-s-biggest-proof-numberphile 2026-03-17T17:35:04.000Z weekly 0.5 https://i.ytimg.com/vi/57V8Ud7PL8k/maxresdefault.jpg Schur Numbers (the world's biggest proof) - Numberphile Featuring Sophie Maclean - Learn more about Figgie at https://www.figgie.com/ or search “figgie” in the App Store or Google Play - More links & stuff in full description below ↓↓↓ Sophie Maclean: https://sophiethemathmo.wordpress.com/ More Sophie on Numberphile: https://www.youtube.com/playlist?list=PLt5AfwLFPxWJL8jqE19RlDCMJp7psCA6r The Friends and Strangers Theorem: https://youtu.be/xdiL-ADRTxQ Patreon: http://www.patreon.com/numberphile Numberphile is supported by Jane Street. Learn more about them (and exciting career opportunities) at: https://bit.ly/numberphile-janestreet We are also grateful for support from Ben Delo. NUMBERPHILE Website: http://www.numberphile.com/ Video by Brady Haran and Pete McPartlan Thanks to fact checkers from the Numberphile Society, especially Michael Colognori and Trymain Rivero Numberphile T-Shirts and Merch: https://teespring.com/stores/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9 https://www.youtube.com/embed/57V8Ud7PL8k 2026-03-17T17:35:04.000Z Numberphile 1020 yes no https://vidert.com/v/math-education/video/15450/ordinal-numbers-numberphile 2026-03-17T17:34:51.000Z weekly 0.5 https://i.ytimg.com/vi/47qEMTMKRdA/maxresdefault.jpg Ordinal Numbers - Numberphile Asaf Karagila discusses ordinal numbers. More links & stuff in full description below ↓↓↓ Asaf is a UKRI Future Leaders Fellow. Asaf's blog - https://karagila.org More videos and Numberphile podcast featuring Asaf - https://www.youtube.com/playlist?list=PLt5AfwLFPxWJyt0zdvzvDoeL_8pqO0S7p Infinity playlist - https://www.youtube.com/playlist?list=PLt5AfwLFPxWKORZ3UeTKlJiJa-89BBz3t Patreon: http://www.patreon.com/numberphile Numberphile is supported by Jane Street. Learn more about them (and exciting career opportunities) at: https://bit.ly/numberphile-janestreet We are also grateful for support from Ben Delo. NUMBERPHILE Website: http://www.numberphile.com/ Video by Brady Haran and Pete McPartlan Numberphile T-Shirts and Merch: https://teespring.com/stores/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9 https://www.youtube.com/embed/47qEMTMKRdA 2026-03-17T17:34:51.000Z Numberphile 706 yes no https://vidert.com/v/math-education/video/15449/the-anti-knight-killer-sudoku-numberphile 2026-03-17T17:34:41.000Z weekly 0.5 https://i.ytimg.com/vi/eB0-vG6rSM4/maxresdefault.jpg The Anti-Knight Killer Sudoku - Numberphile A "killer sudoku" with a stroke of genius... Learn for free on Brilliant (and get 20% off a premium subscription) at https://brilliant.org/numberphile (episode sponsor). More links & stuff in full description below ↓↓↓ This video features Simon Anthony from Cracking the Cryptic. Try the puzzle yourself here - https://sudokupad.app/FmTJm94bMR Watch Simon tackle the puzzle on Cracking the Cryptic - https://www.youtube.com/watch?v=wps4c6WZKeM Catch Simon's previous video about the Phistomephel Ring - https://youtu.be/pezlnN4X52g Cracking the Cryptic - https://www.youtube.com/c/CrackingTheCryptic Cracking the Cryptic on Numberphile - https://www.youtube.com/playlist?list=PLt5AfwLFPxWKtlMAE1n0JbiBMqSH2VMH4 Patreon: http://www.patreon.com/numberphile Numberphile is supported by Jane Street. Learn more about them (and exciting career opportunities) at: https://bit.ly/numberphile-janestreet We are also grateful for support from Ben Delo. NUMBERPHILE Website: http://www.numberphile.com/ Video by Brady Haran and Pete McPartlan Numberphile T-Shirts and Merch: https://teespring.com/stores/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9 https://www.youtube.com/embed/eB0-vG6rSM4 2026-03-17T17:34:41.000Z Numberphile 972 yes no https://vidert.com/v/math-education/video/15448/the-secret-of-the-raffle-function-epic-proof-numberphile 2026-03-17T17:34:30.000Z weekly 0.5 https://i.ytimg.com/vi/XhA5U9pFXuU/maxresdefault.jpg The Secret of the Raffle Function (epic proof) - Numberphile Zvezdelina Stankova discusses the raffle function - and her epic proof ends with an interesting connection. More links & stuff in full description below ↓↓↓ Zvezda playlist here on Numberphile - https://www.youtube.com/playlist?list=PLt5AfwLFPxWIbAPK1oJgRIpe0sWiPKkQ4 Epic Circles (another long proof) - https://youtu.be/sG_6nlMZ8f4 A proof that e is irrational - https://youtu.be/xOXsDfMMTjs A Miraculous Proof (Ptolemy's Theorem) - https://youtu.be/bJOuzqu3MUQ Epic Induction - https://youtu.be/bylFzBxzQ9M Patreon: http://www.patreon.com/numberphile Numberphile is supported by Jane Street. Learn more about them (and exciting career opportunities) at: https://bit.ly/numberphile-janestreet We are also grateful for support from Ben Delo. NUMBERPHILE Website: http://www.numberphile.com/ Video by Brady Haran and Pete McPartlan Thanks to The Numberphile Society for checking our work! Numberphile T-Shirts and Merch: https://teespring.com/stores/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9 https://www.youtube.com/embed/XhA5U9pFXuU 2026-03-17T17:34:30.000Z Numberphile 4814 yes no https://vidert.com/v/math-education/video/15447/2016502858579884466176-numberphile 2026-03-17T17:34:20.000Z weekly 0.5 https://i.ytimg.com/vi/dgwevhEykWQ/maxresdefault.jpg 2016502858579884466176 - Numberphile Tony Padilla on Harshad Numbers. Learn for free on Brilliant (and get 20% off a premium subscription) at https://brilliant.org/numberphile (episode sponsor). More links & stuff in full description below ↓↓↓ Extra footage from this interview can be found on Numberphile2 - https://youtu.be/iGEC1FH5yBU Harshad Numbers are also known as Niven Numbers. Tony Padilla's book Fantastic Numbers and Where to Find Them - https://amzn.to/3VywNyy More from Tony on Numberphile - https://www.youtube.com/playlist?list=PLt5AfwLFPxWL8KAJKO3WfHhJcWrJfjgfU Plus Tony on Sixty Symbols - https://www.youtube.com/playlist?list=PLcUY9vudNKBPJmX64Jay51cdZTKMz4ACs Here's a Harshad Tester (for various bases) based on Tony's code: https://www.numberphile.com/is-it-a-harshad-number (sorry for an problems, I was kind of experimenting here) On Consecutive Niven Numbers (paper): https://www.fq.math.ca/Scanned/31-2/cooper.pdf Additive bases and Niven numbers (paper): https://arxiv.org/abs/2101.07593 Patreon: http://www.patreon.com/numberphile Numberphile is supported by Jane Street. Learn more about them (and exciting career opportunities) at: https://bit.ly/numberphile-janestreet We are also grateful for support from Ben Delo. NUMBERPHILE Website: http://www.numberphile.com/ Videos by Brady Haran Numberphile T-Shirts and Merch: https://teespring.com/stores/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9 Used some AI to represent the old greats doing math in the offices. https://www.youtube.com/embed/dgwevhEykWQ 2026-03-17T17:34:20.000Z Numberphile 1009 yes no https://vidert.com/v/math-education/video/15446/lord-of-the-commutative-rings-numberphile 2026-03-17T17:34:08.000Z weekly 0.5 https://i.ytimg.com/vi/1oqqpqaDgfI/maxresdefault.jpg Lord of the Commutative Rings - Numberphile Is there one ring to rule them all? Kevin Tucker goes deep into the world of mathematical rings, among other things. Extra footage at https://youtu.be/B1TieBIGmI8 - More links & stuff in full description below ↓↓↓ Kevin Tucker: https://mscs.uic.edu/profiles/kftucker/ Patreon: http://www.patreon.com/numberphile Numberphile is supported by Jane Street. Learn more about them (and exciting career opportunities) at: https://bit.ly/numberphile-janestreet We are also grateful for support from Ben Delo. NUMBERPHILE Website: http://www.numberphile.com/ Videos by Brady Haran Numberphile T-Shirts and Merch: https://teespring.com/stores/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9 https://www.youtube.com/embed/1oqqpqaDgfI 2026-03-17T17:34:08.000Z Numberphile 1907 yes no https://vidert.com/v/math-education/video/15445/immense-subcubic-graph-numbers-numberphile 2026-03-17T17:33:58.000Z weekly 0.5 https://i.ytimg.com/vi/4-eXjTH6Mq4/maxresdefault.jpg Immense Subcubic Graph Numbers - Numberphile Featuring Richard Elwes. Learn more about Jane Street internships at https://jane-st.co/internship-numberphile-25 -- More links & stuff in full description below ↓↓↓ Extra footage: https://youtu.be/y1vBPDz96g0 Large numbers playlist: https://www.youtube.com/playlist?list=PLt5AfwLFPxWJ_FwchNAjB3xa8UnoKdmQI Richard Elwes at the University of Leeds: https://eps.leeds.ac.uk/maths/staff/4018/dr-richard-elwes- Or: https://richardelwes.co.uk His books: https://amzn.to/4fJIhHE Richard on Numberphile: https://youtube.com/playlist?list=PLt5AfwLFPxWI42WXh1jnv51jHrcjatrk8&si=gHHt4EVBv3zWQKMW Patreon: http://www.patreon.com/numberphile Numberphile is supported by Jane Street. Learn more about them (and exciting career opportunities) at: https://bit.ly/numberphile-janestreet We are also grateful for support from Ben Delo. NUMBERPHILE Website: http://www.numberphile.com/ Video by Brady Haran and Pete McPartlan Numberphile T-Shirts and Merch: https://teespring.com/stores/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9 https://www.youtube.com/embed/4-eXjTH6Mq4 2026-03-17T17:33:58.000Z Numberphile 1005 yes no https://vidert.com/v/math-education/video/15444/the-holey-monster-with-934-faces-numberphile 2026-03-17T17:33:47.000Z weekly 0.5 https://i.ytimg.com/vi/BhSlqIe1CRQ/maxresdefault.jpg The Holey Monster (with 934 faces) - Numberphile Richard Elwes explores the world of polyhedra and toroids, including the legendary Holey Monster. More links & stuff in full description below ↓↓↓ Patrons can see an out-take and bonus footage here: https://www.patreon.com/posts/135312036 (or why not become a supporter today and see all our patron-only material) Stella (the software used): https://www.software3d.com/Stella.php Richard Elwes at the University of Leeds: https://eps.leeds.ac.uk/maths/staff/4018/dr-richard-elwes- Or: https://richardelwes.co.uk His books: https://amzn.to/4fJIhHE Adventures Among the Toroids was by B.M.Stewart More on Numberphile... Goodstein Sequence with RIchard Elwes - https://youtu.be/0Le7NgS-wO0 A new discovery about Dodecaherons - https://youtu.be/G9_l8QASobI The Tetrahedral Boat - https://youtu.be/-IjGexS1T8U Paper model & more info about the Webb toroid: https://www.software3d.com/WebbToroid.php Numberphile is supported by Jane Street. Learn more about them (and exciting career opportunities) at: https://bit.ly/numberphile-janestreet We are also grateful for support from Ben Delo. NUMBERPHILE Website: http://www.numberphile.com/ Video by Brady Haran and Pete McPartlan Numberphile T-Shirts and Merch: https://teespring.com/stores/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9 https://www.youtube.com/embed/BhSlqIe1CRQ 2026-03-17T17:33:47.000Z Numberphile 1178 yes no https://vidert.com/v/math-education/video/15443/treasure-trove-zeeman-medal-lecture-by-brady-haran-numberphile 2026-03-17T17:33:35.000Z weekly 0.5 https://i.ytimg.com/vi/tsZkzxEhpHk/maxresdefault.jpg Treasure Trove (Zeeman Medal Lecture by Brady Haran) - Numberphile Brady Haran's lecture at the Royal Society upon receiving the Zeeman Medal... More links & stuff in full description below ↓↓↓ Objectivity Playlist of items featured in the lecture: https://www.youtube.com/playlist?list=PLt5AfwLFPxWLCm7kXoUUjWJ3Ku6uGRBoJ The 2024 Christopher Zeeman Medal was awarded to Brady Haran in recognition of excellence in the communication of mathematics - https://www.lms.ac.uk/news/brady-haran-2024-christopher-zeeman-medal It was awarded by the Institute of Mathematics and its Applications and the London Mathematical Society. Upon receiving the medal, Brady gave this lecture at The Royal Society on May 7, 2025. It was entitled "Treasure Trove: Amazing Objects from the World of Mathematics". To see the introduction by IMA president elect Heather Tewkesbury, watch here - https://www.youtube.com/watch?v=rlvcRlT_EZA Thanks to Alex Springer from A Star Studios fro helping out with video footage. Patreon: http://www.patreon.com/numberphile Numberphile is supported by Jane Street. Learn more about them (and exciting career opportunities) at: https://bit.ly/numberphile-janestreet We are also grateful for support from Ben Delo. NUMBERPHILE Website: http://www.numberphile.com/ Videos by Brady Haran Numberphile T-Shirts and Merch: https://teespring.com/stores/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9 https://www.youtube.com/embed/tsZkzxEhpHk 2026-03-17T17:33:35.000Z Numberphile 2605 yes no https://vidert.com/v/math-education/video/15442/conway-s-base-13-function-numberphile 2026-03-17T17:33:23.000Z weekly 0.5 https://i.ytimg.com/vi/zsBaApyf_Ns/maxresdefault.jpg Conway's Base 13 Function - Numberphile John Conway's amazing Base 13 Function, demonstrated by Asaf Karagila. More links & stuff in full description below ↓↓↓ Asaf is a UKRI Future Leaders Fellow. Asaf's blog - https://karagila.org More videos and Numberphile podcast featuring Asaf - https://www.youtube.com/playlist?list=PLt5AfwLFPxWJyt0zdvzvDoeL_8pqO0S7p The late John Conway on Numberphile: https://www.youtube.com/playlist?list=PLt5AfwLFPxWIL8XA1npoNAHseS-j1y-7V Patreon: http://www.patreon.com/numberphile Numberphile is supported by Jane Street. Learn more about them (and exciting career opportunities) at: https://bit.ly/numberphile-janestreet We are also grateful for support from Ben Delo. NUMBERPHILE Website: http://www.numberphile.com/ Video by Brady Haran and Pete McPartlan Numberphile T-Shirts and Merch: https://teespring.com/stores/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9 https://www.youtube.com/embed/zsBaApyf_Ns 2026-03-17T17:33:23.000Z Numberphile 928 yes no https://vidert.com/v/math-education/video/15441/the-big-daddy-of-infinite-integrals-numberphile 2026-03-17T17:33:11.000Z weekly 0.5 https://i.ytimg.com/vi/WiO2Ku7V1rw/maxresdefault.jpg The Big Daddy of Infinite Integrals - Numberphile Tom Crawford explores the Gaussian Integral. More links & stuff in full description below ↓↓↓ More Tom videos on Numberphile: http://bit.ly/Crawford_Videos Tom on the Numberphile Podcast: https://youtu.be/_HwKGncsGo0 Infinity on Numberphile - https://www.youtube.com/playlist?list=PLt5AfwLFPxWKORZ3UeTKlJiJa-89BBz3t Tom Crawford teaches at both the University of Oxford and the University of Cambridge. At Oxford he is the Public Engagement Lead at the Department for Continuing Education, and a fellow at St Edmund Hall. At Cambridge he is a Fellow at Robinson College. Tom Crawford's website, with links to his work and other outreach: https://tomrocksmaths.com Tom's own YouTube channel (Tom Rocks Maths): https://www.youtube.com/channel/UCRfo-DAifrP3lzcxUHtGm_A Patreon: http://www.patreon.com/numberphile Numberphile is supported by Jane Street. Learn more about them (and exciting career opportunities) at: https://bit.ly/numberphile-janestreet We are also grateful for support from Ben Delo. NUMBERPHILE Website: http://www.numberphile.com/ Videos by Brady Haran Numberphile T-Shirts and Merch: https://teespring.com/stores/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9 https://www.youtube.com/embed/WiO2Ku7V1rw 2026-03-17T17:33:11.000Z Numberphile 1245 yes no https://vidert.com/v/math-education/video/15440/the-stein-paradox-numberphile 2026-03-17T17:32:59.000Z weekly 0.5 https://i.ytimg.com/vi/FUQwijSDzg8/maxresdefault.jpg The Stein Paradox - Numberphile Professor Chris Oates discusses one of the most puzzling paradoxes in statistics. Extra footage: https://youtu.be/Z1-OH1ji8fU -- More links & stuff in full description below ↓↓↓ More from the Leverhulme Trust at: https://www.leverhulme.ac.uk (episode supporter) Chris' Leverhulme Prize: https://www.leverhulme.ac.uk/news/philip-leverhulme-prize-winners-2023 Chris Oates at Newcastle University: https://oates.work Patreon: http://www.patreon.com/numberphile Asteroid Bradyharan: https://www.youtube.com/watch?v=VLLrHQVMx64 Numberphile is supported by Jane Street. Learn more about them (and exciting career opportunities) at: https://bit.ly/numberphile-janestreet We are also grateful for support from Ben Delo. NUMBERPHILE Website: http://www.numberphile.com/ Videos by Brady Haran Additional animation and editing by Pete McPartlan Numberphile T-Shirts and Merch: https://teespring.com/stores/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9 https://www.youtube.com/embed/FUQwijSDzg8 2026-03-17T17:32:59.000Z Numberphile 1282 yes no https://vidert.com/v/math-education/video/15439/the-9-sided-enneahedron-numberphile 2026-03-17T17:32:44.000Z weekly 0.5 https://i.ytimg.com/vi/3X2aQIMx5bs/maxresdefault.jpg The 9-sided Enneahedron - Numberphile Christian Lawson-Perfect on creating the Herschel Enneahedron. See the free trial from episode sponsor Brilliant - https://brilliant.org/numberphile -- More links & stuff in full description below ↓↓↓ Christian at Newcastle University - https://www.staff.ncl.ac.uk/christian.perfect/ And mathstodon at https://mathstodon.xyz/@christianp Christian's blog post about this - https://aperiodical.com/2013/10/an-enneahedron-for-herschel/ 3D printable enneahedron on thingiverse at https://www.thingiverse.com/thing:248603 More interesting Numberphile videos: Dodecahedrons - https://youtu.be/G9_l8QASobI Higher Dimensional Shapes - https://youtu.be/2s4TqVAbfz4 Tetrahedral Boat - https://youtu.be/-IjGexS1T8U Patreon: http://www.patreon.com/numberphile Numberphile is supported by Jane Street. Learn more about them (and exciting career opportunities) at: https://bit.ly/numberphile-janestreet We are also grateful for support from Ben Delo. NUMBERPHILE Website: http://www.numberphile.com/ Videos by Brady Haran Numberphile T-Shirts and Merch: https://teespring.com/stores/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9 https://www.youtube.com/embed/3X2aQIMx5bs 2026-03-17T17:32:44.000Z Numberphile 794 yes no https://vidert.com/v/math-education/video/15438/a-simple-equation-that-behaves-weirdly-numberphile 2026-03-17T17:32:33.000Z weekly 0.5 https://i.ytimg.com/vi/a7BVL1MOCl4/maxresdefault.jpg A simple equation that behaves weirdly - Numberphile Michael Magee explores a seemingly simple equation with hidden depths... And delves into Vieta jumping (or root flipping). More links & stuff in full description below ↓↓↓ More from the Leverhulme Trust at: https://www.leverhulme.ac.uk (episode supporter) Michael's Leverhulme Prize: https://www.leverhulme.ac.uk/news/philip-leverhulme-prize-winners-2023 Michael Magee is based at Durham University: http://www.mmagee.net Videos about the legendary question six from the IMO: https://youtu.be/Y30VF3cSIYQ https://youtu.be/NcaYEaVTA4g Patreon: http://www.patreon.com/numberphile Numberphile is supported by Jane Street. Learn more about them (and exciting career opportunities) at: https://bit.ly/numberphile-janestreet We are also grateful for support from Ben Delo. NUMBERPHILE Website: http://www.numberphile.com/ Videos by Brady Haran Numberphile T-Shirts and Merch: https://teespring.com/stores/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9 https://www.youtube.com/embed/a7BVL1MOCl4 2026-03-17T17:32:33.000Z Numberphile 675 yes no https://vidert.com/v/math-education/video/15437/a-problem-with-infinite-hotel-keys-numberphile 2026-03-17T17:32:20.000Z weekly 0.5 https://i.ytimg.com/vi/uezOrcmHzrQ/maxresdefault.jpg A Problem with Infinite Hotel Keys - Numberphile Tom Crawford poses a problem and finds an answer -- Learn more and apply to Jane Street’s WiSE program in New York, London or Hong Kong: https://jane-st.co/wise-numberphile (channel sponsor) -- More links & stuff in full description below ↓↓↓ Extra footage from this video - we take it further - https://youtu.be/txoJDJxhv4E Infinity on Numberphile - https://www.youtube.com/playlist?list=PLt5AfwLFPxWKORZ3UeTKlJiJa-89BBz3t Tom Crawford's website, with links to his work and other outreach: https://tomrocksmaths.com More Tom videos on Numberphile: http://bit.ly/Crawford_Videos Tom on the Numberphile Podcast: https://youtu.be/_HwKGncsGo0 Tom Crawford teaches at both the University of Oxford and the University of Cambridge. At Oxford he is the Public Engagement Lead at the Department for Continuing Education, and a fellow at St Edmund Hall. At Cambridge he is a Fellow at Robinson College. Tom's own YouTube channel (Tom Rocks Maths): https://www.youtube.com/channel/UCRfo-DAifrP3lzcxUHtGm_A Patreon: http://www.patreon.com/numberphile Numberphile is supported by Jane Street. Learn more about them (and exciting career opportunities) at: https://bit.ly/numberphile-janestreet We are also grateful for support from Ben Delo. NUMBERPHILE Website: http://www.numberphile.com/ Video by Brady Haran and Pete McPartlan Numberphile T-Shirts and Merch: https://teespring.com/stores/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9 https://www.youtube.com/embed/uezOrcmHzrQ 2026-03-17T17:32:20.000Z Numberphile 1082 yes no https://vidert.com/v/math-education/video/15436/cardioids-in-coffee-cups-numberphile 2026-03-17T17:32:08.000Z weekly 0.5 https://i.ytimg.com/vi/hKpa9ntjgeo/maxresdefault.jpg Cardioids in Coffee Cups - Numberphile Featuring Ben Sparks... Check out the free trial from episode sponsor Brilliant - https://brilliant.org/numberphile --- More links & stuff in full description below ↓↓↓ Footnote 1: https://youtu.be/8tqGQ22nnTA Footnote 2: https://youtu.be/tKA7TqhBhnQ Patreon extra: https://www.patreon.com/posts/126871802 SparksMaths accompanying video: https://youtu.be/tV4zlEpd7lM Ben Sparks: https://www.bensparks.co.uk More Ben Sparks on Numberphile: http://bit.ly/Sparks_Playlist Patreon: http://www.patreon.com/numberphile Numberphile is supported by Jane Street. Learn more about them (and exciting career opportunities) at: https://bit.ly/numberphile-janestreet We are also grateful for support from Ben Delo. NUMBERPHILE Website: http://www.numberphile.com/ Video by Brady Haran and Pete McPartlan Numberphile T-Shirts and Merch: https://teespring.com/stores/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9 https://www.youtube.com/embed/hKpa9ntjgeo 2026-03-17T17:32:08.000Z Numberphile 1295 yes no https://vidert.com/v/math-education/video/15435/the-tea-lady-experiment-numberphile 2026-03-17T17:31:57.000Z weekly 0.5 https://i.ytimg.com/vi/8ERFV7rV0vg/maxresdefault.jpg The Tea Lady Experiment - Numberphile Po-Ling Loh discusses hypothesis testing and a famous experiment involving cups of tea. More links & stuff in full description below ↓↓↓ More from the Leverhulme Trust at: https://www.leverhulme.ac.uk Professor Loh's Leverhulme Prize: https://www.leverhulme.ac.uk/news/philip-leverhulme-prize-winners-2023 Our podcast with Professor Loh: https://www.youtube.com/watch?v=XCZIYtMi5s4 Professor Loh's webpage at the University of Cambridge: https://www.dpmms.cam.ac.uk/person/pll28 Patreon: http://www.patreon.com/numberphile Numberphile is supported by Jane Street. Learn more about them (and exciting career opportunities) at: https://bit.ly/numberphile-janestreet NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Video by Brady Haran and Pete McPartlan Numberphile T-Shirts and Merch: https://teespring.com/stores/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9 https://www.youtube.com/embed/8ERFV7rV0vg 2026-03-17T17:31:57.000Z Numberphile 1027 yes no https://vidert.com/v/math-education/video/15434/the-world-s-longest-klein-bottle-numberphile 2026-03-17T17:31:46.000Z weekly 0.5 https://i.ytimg.com/vi/v7yKZzbyF74/maxresdefault.jpg The World's LONGEST Klein Bottle - Numberphile Cliff Stoll and Lucas Clarke stretch a Klein Bottle to record lengths. More links & stuff in full description below ↓↓↓ In memory of Cliff's wife, Pat. The movie poster: https://www.patreon.com/posts/126424202 (for Patrons) More videos on our Klein Bottle playlist: http://bit.ly/KleinBottles Cliff Stoll playlist: http://bit.ly/Cliff_Videos Lucas Clarke blows glass at Simon Fraser University: https://www.sfu.ca Follow Lucas on Instagram: https://www.instagram.com/_lucas_clarke_/ Patreon: http://www.patreon.com/numberphile Numberphile is supported by Jane Street. Learn more about them (and exciting career opportunities) at: https://bit.ly/numberphile-janestreet We are also grateful for support from Ben Delo. NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Video by Brady Haran, Pete McPartlan and Logan Smalley Numberphile T-Shirts and Merch: https://teespring.com/stores/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9 https://www.youtube.com/embed/v7yKZzbyF74 2026-03-17T17:31:46.000Z Numberphile 415 yes no https://vidert.com/v/math-education/video/15430/a-magic-square-breakthrough-numberphile 2026-03-17T17:31:10.000Z weekly 0.5 https://i.ytimg.com/vi/stpiBy6gWOA/maxresdefault.jpg A Magic Square Breakthrough - Numberphile Matt Parker is back with Multi-Magic Squares and news of a mathematical breakthrough. Extra footage and Matt's warning is at: https://youtu.be/2Twa-z_WPE4 --- More links & stuff in full description below ↓↓↓ Original Parker Square video: https://youtu.be/aOT_bG-vWyg More Parker Square stuff: https://www.youtube.com/playlist?list=PLt5AfwLFPxWKcowaX3-U4lSRUnX5E1eGw Send your Parker Prize submissions to: parkersquareprize@standupmaths.com Get your signed copy of Love Triangle at https://mathsgear.co.uk/products/love-triangle-by-matt-parker-signed Love Triangle on Amazon US (unsigned): https://amzn.to/3XoRlf4 And on Amazon UK (unsigned): https://amzn.to/3xh9Siw More Matt on Numberphile: https://www.youtube.com/playlist?list=PLt5AfwLFPxWKuRpivZd_ivR2EvEzKrDUu Matt's own channel is Stand-up Maths: https://www.youtube.com/user/standupmaths Patreon: http://www.patreon.com/numberphile Numberphile is supported by Jane Street. Learn more about them (and exciting career opportunities) at: https://bit.ly/numberphile-janestreet NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Videos by Brady Haran Special mention to Debbie Chakour and Michael Colognori, eagle-eyed fact checkers from the Numberphile Society! Numberphile T-Shirts and Merch: https://teespring.com/stores/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9 https://www.youtube.com/embed/stpiBy6gWOA 2026-03-17T17:31:10.000Z Numberphile 1033 yes no https://vidert.com/v/math-education/video/15427/shakespeare-numbers-and-chronograms-numberphile 2026-03-17T17:30:55.000Z weekly 0.5 https://i.ytimg.com/vi/ERAgUg-e_Qs/maxresdefault.jpg Shakespeare, Numbers, and Chronograms - Numberphile Rob Eastaway looks at numbers, quirks, and codes (plus some conspiracy theories) in William Shakespeare's First Folio. More links & stuff in full description below ↓↓↓ Patreon: http://www.patreon.com/numberphile Including some interesting historical stuff about the use of numbers in Shakespeare's plays, then some slightly wild conspiracy theories about Francis Bacon and codes in the text. And a bit about chronograms. More Rob Eastaway on Numberphile (including more Shakespearean stuff): https://youtube.com/playlist?list=PLt5AfwLFPxWLpGjPX_Qn0D9gzVkYVTSuU Rob Eastaway's book Much Ado About Numbers... Amazon (US): https://amzn.to/3zFinog Amazon (UK): https://amzn.to/3VIIp1u And on bookshop.org: (UK) https://uk.bookshop.org/p/books/much-ado-about-numbers-rob-eastaway/7619073 or (US) https://bookshop.org/p/books/much-ado-about-numbers-shakespeare-s-mathematical-life-and-times-rob-eastaway/21260313?ean=9798893030303 Rob Eastaway's website: https://robeastaway.com With thanks to Dulwich College Archive: https://www.dulwich.org.uk/about/history/the-archives Like a bit of history blended with science and math - check out Brady's Objectivity channel - https://www.youtube.com/c/objectivityvideos Numberphile is supported by Jane Street. Learn more about them (and exciting career opportunities) at: https://bit.ly/numberphile-janestreet NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Videos by Brady Haran Numberphile T-Shirts and Merch: https://teespring.com/stores/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9 Patrons include... Juan Benet Matthew Feinberg Jeff Straathof Florian Sommer Ben Delo Andy B Colin Williams Ozan Çopur Norman Jaffe Ben White Andy B Michael Dunworth Yana Chernobilsky James Bisson https://www.youtube.com/embed/ERAgUg-e_Qs 2026-03-17T17:30:55.000Z Numberphile 682 yes no https://vidert.com/v/math-education/video/15426/the-slightly-bungled-mersenne-prime-origin-story-numberphile 2026-03-17T17:30:41.000Z weekly 0.5 https://i.ytimg.com/vi/IFTBOUaUClE/maxresdefault.jpg The Slightly Bungled Mersenne Prime Origin Story - Numberphile See Objectivity (293 videos and more to come) - https://www.youtube.com/c/objectivityvideos More links & stuff in full description below ↓↓↓ Brady Haran is at the Royal Society looking at the book which resulted in the name "Mersenne Primes". Mersenne Prime videos on Numberphile: https://www.youtube.com/playlist?list=PLt5AfwLFPxWKsTwVXpLscZdfiiqAkkGCA The Royal Society library: https://royalsociety.org/about-us/what-we-do/collections/visitors/ Translation and explanation of the key section from Cogitata Physico-Mathematica - https://t5k.org/mersenne/LukeMirror/lit/lit_069s.htm Great Internet Mersenne Prime Search - https://www.mersenne.org Patreon: http://www.patreon.com/numberphile Numberphile is supported by Jane Street. Learn more about them (and exciting career opportunities) at: https://bit.ly/numberphile-janestreet NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Videos by Brady Haran Numberphile T-Shirts and Merch: https://teespring.com/stores/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9 https://www.youtube.com/embed/IFTBOUaUClE 2026-03-17T17:30:41.000Z Numberphile 165 yes no https://vidert.com/v/math-education/video/15425/the-snakey-hexomino-unsolved-tic-tac-toe-problem-numberphile 2026-03-17T17:30:29.000Z weekly 0.5 https://i.ytimg.com/vi/ouTE-GYGIA8/maxresdefault.jpg The Snakey Hexomino (unsolved Tic-Tac-Toe problem) - Numberphile Sophie Maclean explains Animal Tic-Tac-Toe - and why the Snakey hexomino is the only "unsolved" creature. More links & stuff in full description below ↓↓↓ Sophie's previous polyominoes video: https://youtu.be/ONdgXYEBihA More Sophie on Numberphile: https://bit.ly/Sophie_Numberphile Sophie Maclean is based at Kings College, London: https://sophiethemathmo.wordpress.com Tic-Tac-Toe with Xs only - https://youtu.be/ktPvjr1tiKk Three board Tic-Tac-Toe - https://youtu.be/h09XU8t8eUM Patreon: http://www.patreon.com/numberphile Numberphile is supported by Jane Street. Learn more about them (and exciting career opportunities) at: https://bit.ly/numberphile-janestreet NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Video by Brady Haran, James Hennessy and Pete McPartlan Numberphile T-Shirts and Merch: https://teespring.com/stores/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9 https://www.youtube.com/embed/ouTE-GYGIA8 2026-03-17T17:30:29.000Z Numberphile 674 yes no https://vidert.com/v/math-education/video/15424/the-frobenius-problem-and-numerical-semigroups-numberphile 2026-03-17T17:30:15.000Z weekly 0.5 https://i.ytimg.com/vi/be8BGCLuC54/maxresdefault.jpg The Frobenius Problem (and numerical semigroups) - Numberphile Featuring Professor David Eisenbud discussing numerical semigroups. More links & stuff in full description below ↓↓↓ Also discussing Sylvester's Theorem, prime numbers and the Frobenius Number Problem. Our previous video on ordering 43 chicken nuggets and Frobenius Numbers: https://www.youtube.com/watch?v=vNTSugyS038 David Eisenbud: https://www.slmath.org/people/161 Counting numerical semigroups (Kunz and Waldi): https://arxiv.org/abs/1410.7150 Patreon: http://www.patreon.com/numberphile Numberphile is supported by Jane Street. Learn more about them (and exciting career opportunities) at: https://bit.ly/numberphile-janestreet NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Video by Brady Haran and Pete McPartlan Numberphile T-Shirts and Merch: https://teespring.com/stores/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9 Our Patreon supporters include: Juan Benet Matthew Feinberg Jeff Straathof Ben Delo Ken Baron Andy B Michael Dunworth Yana Chernobilsky James Bissonette Jubal John Ben White Andrei M Burke, P.E. RAD Donato Matthew Schuster Ron Hochsprung Ubiquity Ventures Gnare Mike Gelbart Allen Stenger Tracy Parry Ian George Walker Arnas Bernd Sing Valentin Alex Khein Doug Hoffman John Loach Anton Smyk Scott digit777 Adam Savage Rodrigo Martin Norman Walsh Patrick W. Gilmore Melissa Kwan Michael Zappe Chris Connett Igor Sokolov Ethan Lutske Kenneth Albanowski divad Lambda3 Jeff Linse Jaewon Jung Hendrik P Baadrix Rob Nichols Ahmed Hindawi Wraithan McCarroll Stephan Hartmann Stephen Hart Heather at Highway Mind Wim Hoskens Jeff Butterworth Bradley Pirtle Colin Williams David Bar-On David Collison Daniel Rendall Brendan Howell Christian Broß Andrew Weir Florian Sommer Mike Koss Amish Nishawal https://www.youtube.com/embed/be8BGCLuC54 2026-03-17T17:30:15.000Z Numberphile 1135 yes no https://vidert.com/v/math-education/video/15423/pentominoes-and-other-polyominoes-numberphile 2026-03-17T17:30:01.000Z weekly 0.5 https://i.ytimg.com/vi/ONdgXYEBihA/maxresdefault.jpg Pentominoes and other Polyominoes - Numberphile Sophie Maclean discusses pentominoes and other polyominoes. See https://brilliant.org/numberphile for Brilliant and 20% off their premium service & 30-day trial (episode sponsor). More links & stuff in full description below ↓↓↓ Sophie Maclean is based at Kings College, London: https://sophiethemathmo.wordpress.com More Sophie on Numberphile: https://bit.ly/Sophie_Numberphile Previously on Numberphile, The Pentomino Puzzle: https://youtu.be/wZ1E_CM7MqA Patreon: http://www.patreon.com/numberphile Numberphile is supported by Jane Street. Learn more about them (and exciting career opportunities) at: https://bit.ly/numberphile-janestreet NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Video by Brady Haran, James Hennessy and Pete McPartlan Numberphile T-Shirts and Merch: https://teespring.com/stores/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9 https://www.youtube.com/embed/ONdgXYEBihA 2026-03-17T17:30:01.000Z Numberphile 560 yes no https://vidert.com/v/math-education/video/15422/the-anti-parker-square-numberphile 2026-03-17T17:29:48.000Z weekly 0.5 https://i.ytimg.com/vi/uz9jOIdhzs0/maxresdefault.jpg The Anti-Parker Square - Numberphile Featuring Ayliean MacDonald. Learn more about Jane Street’s Hong Kong internship opportunities: https://jane-st.co/hkgintern-numberphile (channel sponsor) --- More links & stuff in full description below ↓↓↓ Original Parker Square video: https://youtu.be/aOT_bG-vWyg More Parker Square stuff: https://www.youtube.com/playlist?list=PLt5AfwLFPxWKcowaX3-U4lSRUnX5E1eGw Ayliean's YouTube channel: https://www.youtube.com/c/Ayliean More from Ayliean: https://linktr.ee/Ayliean More Numberphile videos with Ayliean: https://youtube.com/playlist?list=PLt5AfwLFPxWIVNbbisfbcJKpb44__r2Rw Patreon: http://www.patreon.com/numberphile Numberphile is supported by Jane Street. Learn more about them (and exciting career opportunities) at: https://bit.ly/numberphile-janestreet BTW, the Hong Kong Internships are fully funded (your air fares and accommodation, etc) - https://jane-st.co/hkgintern-numberphile NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Video by Brady Haran and James Hennessy Numberphile T-Shirts and Merch: https://teespring.com/stores/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9 https://www.youtube.com/embed/uz9jOIdhzs0 2026-03-17T17:29:48.000Z Numberphile 971 yes no https://vidert.com/v/math-education/video/15421/a-number-to-the-power-of-a-matrix-numberphile 2026-03-17T17:29:37.000Z weekly 0.5 https://i.ytimg.com/vi/CHozRTwHInE/maxresdefault.jpg A Number to the Power of a Matrix - Numberphile "All hell breaks loose" in this new video with Tom Crawford. More links & stuff in full description below ↓↓↓ The famed constant e is raised to the power of a matrix. Tom Crawford's website, with links to his work and other outreach: https://tomrocksmaths.com More Tom videos on Numberphile: http://bit.ly/Crawford_Videos Tom on the Numberphile Podcast: https://youtu.be/_HwKGncsGo0 Tom Crawford is based at University of Oxford as Early Career Teaching and Outreach Fellow at St Edmund Hall and Public Engagement Lead at the Oxford University Department for Continuing Education. Tom's own YouTube channel (Tom Rocks Maths): https://www.youtube.com/channel/UCRfo-DAifrP3lzcxUHtGm_A Patreon: http://www.patreon.com/numberphile Numberphile is supported by Jane Street. Learn more about them (and exciting career opportunities) at: https://bit.ly/numberphile-janestreet NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Videos by Brady Haran Numberphile T-Shirts and Merch: https://teespring.com/stores/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9 https://www.youtube.com/embed/CHozRTwHInE 2026-03-17T17:29:37.000Z Numberphile 1005 yes no https://vidert.com/v/math-education/video/15420/meeting-ern-rubik-numberphile 2026-03-17T17:29:25.000Z weekly 0.5 https://i.ytimg.com/vi/zkRxfmECWSM/maxresdefault.jpg Meeting Ernő Rubik - Numberphile Ernő Rubik is the inventor of the Rubik's Cube. More links & stuff in full description below ↓↓↓ See more Rubik's Cube videos on Numberphile: https://www.youtube.com/playlist?list=PLt5AfwLFPxWJNAdHv8TUCOmj7iKqyHZeg 80-year-old Hungarian Ernő Rubik created his legendary cube in 1974. The rest is history. Brady met him at international celebration of 50 years of the Rubik’s Cube which took place at Christ’s College, at the University of Cambridge - https://www.christs.cam.ac.uk/news/celebrating-50-years-rubiks-cube Patreon: http://www.patreon.com/numberphile Numberphile is supported by Jane Street. Learn more about them (and exciting career opportunities) at: https://bit.ly/numberphile-janestreet NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Video by Brady Haran Cube stop motions by Pete McPartlan Numberphile T-Shirts and Merch: https://teespring.com/stores/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9 https://www.youtube.com/embed/zkRxfmECWSM 2026-03-17T17:29:25.000Z Numberphile 561 yes no https://vidert.com/v/math-education/video/15419/a-fascination-with-fractured-friezes-numberphile 2026-03-17T17:29:13.000Z weekly 0.5 https://i.ytimg.com/vi/0YkapBk9y5U/maxresdefault.jpg A Fascination with Fractured Friezes - Numberphile Featuring Professor Eleonore Faber discussing frieze patterns and polygons - and what happens when you cut them... More links & stuff in full description below ↓↓↓ Paper - Friezes satisfying higher SLk-determinants - https://arxiv.org/abs/1810.10562 Eleonore Faber: https://imsc.uni-graz.at/faber/index.html Our previous Frieze video: https://www.youtube.com/watch?v=0mXz-NP-raY Patreon: http://www.patreon.com/numberphile Numberphile is supported by Jane Street. Learn more about them (and exciting career opportunities) at: https://bit.ly/numberphile-janestreet NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Videos by Brady Haran Numberphile T-Shirts and Merch: https://teespring.com/stores/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9 https://www.youtube.com/embed/0YkapBk9y5U 2026-03-17T17:29:13.000Z Numberphile 1519 yes no https://vidert.com/v/math-education/video/15418/way-bigger-than-graham-s-number-goodstein-sequence-numberphile 2026-03-17T17:28:59.000Z weekly 0.5 https://i.ytimg.com/vi/0Le7NgS-wO0/maxresdefault.jpg Way Bigger Than Graham's Number (Goodstein Sequence) - Numberphile Featuring Richard Elwes. See https://brilliant.org/numberphile for Brilliant and 20% off their premium service & 30-day trial (episode sponsor). More links & stuff in full description below ↓↓↓ Numberphile videos about big numbers: https://www.youtube.com/playlist?list=PLt5AfwLFPxWJ_FwchNAjB3xa8UnoKdmQI Gödel's Incompleteness Theorem: https://youtu.be/O4ndIDcDSGc Richard Elwes at the University of Leeds: https://eps.leeds.ac.uk/maths/staff/4018/dr-richard-elwes- Or: https://richardelwes.co.uk His books: https://amzn.to/4fJIhHE On the Restricted Ordinal Theorem (by Goodstein): https://fa.ewi.tudelft.nl/~hart/onderwijs/verzamelingenleer/materiaal/goodstein.pdf Accessible Independence Results For Peano Arithmetic (by Kirby and Paris): https://logic.amu.edu.pl/images/3/3c/Kirbyparis.pdf Patreon: http://www.patreon.com/numberphile Numberphile is supported by Jane Street. Learn more about them (and exciting career opportunities) at: https://bit.ly/numberphile-janestreet NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Video by Brady Haran and Pete McPartlan Numberphile T-Shirts and Merch: https://teespring.com/stores/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9 https://www.youtube.com/embed/0Le7NgS-wO0 2026-03-17T17:28:59.000Z Numberphile 999 yes no https://vidert.com/v/math-education/video/15417/knot-surfaces-numberphile 2026-03-17T17:28:45.000Z weekly 0.5 https://i.ytimg.com/vi/OqjFylGwAj8/maxresdefault.jpg Knot Surfaces - Numberphile Featuring Sophie Maclean and Ayliean MacDonald. Extended crochet video at https://www.patreon.com/posts/116050981 --- More links & stuff in full description below ↓↓↓ More knot videos: https://www.youtube.com/playlist?list=PLt5AfwLFPxWLyfD4nhZCX_3UZdSSpkBTs More Sophie videos on Numberphile: https://www.youtube.com/playlist?list=PLt5AfwLFPxWJL8jqE19RlDCMJp7psCA6r More Ayliean videos on Numberphile: https://www.youtube.com/playlist?list=PLt5AfwLFPxWIVNbbisfbcJKpb44__r2Rw Sophie is based at Kings College, London: https://sophiethemathmo.wordpress.com Ayliean's YouTube channel: https://www.youtube.com/c/Ayliean More from Ayliean: https://linktr.ee/Ayliean Patreon: http://www.patreon.com/numberphile Numberphile is supported by Jane Street. Learn more about them (and exciting career opportunities) at: https://bit.ly/numberphile-janestreet NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Video by Brady Haran, James Hennessy and Pete McPartlan Numberphile T-Shirts and Merch: https://teespring.com/stores/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9 https://www.youtube.com/embed/OqjFylGwAj8 2026-03-17T17:28:45.000Z Numberphile 733 yes no https://vidert.com/v/math-education/video/15416/the-change-from-roman-numerals-numberphile 2026-03-17T17:28:34.000Z weekly 0.5 https://i.ytimg.com/vi/OEGGz1sCS5w/maxresdefault.jpg The Change from Roman Numerals - Numberphile Featuring Rob Eastaway discussing Roman Numerals, Indo-Arabic numerals, and the diary of theatre owner Philip Henslowe (a contemporary of William Shakespeare)... More links & stuff in full description below ↓↓↓ Patrons can enjoy some extra pictures and scans from this video here: https://www.patreon.com/posts/115548802 Our modern numerals are also referred to as Arabic Numerals and/or Hindu–Arabic numerals. Objectivity Videos: https://www.youtube.com/c/objectivityvideos With thanks to Dulwich College Archive: https://www.dulwich.org.uk/about/history/the-archives The college is the keeper of the famed Henslowe Diary. More Rob Eastaway on Numberphile: https://youtube.com/playlist?list=PLt5AfwLFPxWLpGjPX_Qn0D9gzVkYVTSuU Rob Eastaway's book Much Ado About Numbers... Amazon (US): https://amzn.to/3zFinog Amazon (UK): https://amzn.to/3VIIp1u And on bookshop.org: (UK) https://uk.bookshop.org/p/books/much-ado-about-numbers-rob-eastaway/7619073 or (US) https://bookshop.org/p/books/much-ado-about-numbers-shakespeare-s-mathematical-life-and-times-rob-eastaway/21260313?ean=9798893030303 More Rob books: https://amzn.to/3XR6N3Q Rob Eastaway's website: https://robeastaway.com Patreon: http://www.patreon.com/numberphile Numberphile is supported by Jane Street. 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Dr. Grinfeld's Tensor Calculus textbook https://lem.ma/prep - Complete SAT Math Prep https://www.youtube.com/embed/p_8pZpPkyJ4 2026-03-17T17:27:08.000Z MathTheBeautiful 247 yes no https://vidert.com/v/math-education/video/15408/the-seventh-of-the-seven-beauties-the-derivation-of-the-integral-of-signed-curva 2026-03-17T17:26:56.000Z weekly 0.5 https://i.ytimg.com/vi/2sRfdZGlfAU/maxresdefault.jpg The SEVENTH of the seven beauties: the derivation of the integral of signed curvature Complete playlist: https://www.youtube.com/watch?v=W2uOamkVAFw&list=PLlXfTHzgMRUKG7lkye7DQAmNB0cfWNgWG&index=1 https://grinfeld.org https://www.patreon.com/PavelGrinfeld https://grinfeld.org/books/An-Introduction-To-Tensor-Calculus/ https://grinfeld.org/books/A-Tensor-Description-Of-Surfaces-And-Curves/ https://www.youtube.com/embed/2sRfdZGlfAU 2026-03-17T17:26:56.000Z MathTheBeautiful 844 yes no https://vidert.com/v/math-education/video/15407/the-seventh-of-the-seven-beauties-the-integral-of-signed-curvature-over-a-closed 2026-03-17T17:26:44.000Z weekly 0.5 https://i.ytimg.com/vi/4h4lYIlEDmA/maxresdefault.jpg The SEVENTH of the seven beauties: The integral of signed curvature over a closed curve Complete playlist: https://www.youtube.com/watch?v=W2uOamkVAFw&list=PLlXfTHzgMRUKG7lkye7DQAmNB0cfWNgWG&index=1 https://grinfeld.org https://www.patreon.com/PavelGrinfeld https://grinfeld.org/books/An-Introduction-To-Tensor-Calculus/ https://grinfeld.org/books/A-Tensor-Description-Of-Surfaces-And-Curves/ https://www.youtube.com/embed/4h4lYIlEDmA 2026-03-17T17:26:44.000Z MathTheBeautiful 422 yes no https://vidert.com/v/math-education/video/15406/the-polar-form-of-complex-numbers 2026-03-17T17:26:30.000Z weekly 0.5 https://i.ytimg.com/vi/cOeU0ybCcO0/maxresdefault.jpg The Polar Form of Complex Numbers https://bit.ly/PavelPatreon https://lem.ma/LA - Linear Algebra on Lemma http://bit.ly/ITCYTNew - Dr. Grinfeld's Tensor Calculus textbook https://lem.ma/prep - Complete SAT Math Prep https://www.youtube.com/embed/cOeU0ybCcO0 2026-03-17T17:26:30.000Z MathTheBeautiful 450 yes no https://vidert.com/v/math-education/video/15405/de-moivre-s-formula-for-complex-numbers-a-precursor-to-euler-s-formula 2026-03-17T17:26:19.000Z weekly 0.5 https://i.ytimg.com/vi/mlwvxLWfUag/maxresdefault.jpg De Moivre's Formula for Complex Numbers: A Precursor to Euler's Formula https://bit.ly/PavelPatreon https://lem.ma/LA - Linear Algebra on Lemma http://bit.ly/ITCYTNew - Dr. Grinfeld's Tensor Calculus textbook https://lem.ma/prep - Complete SAT Math Prep https://www.youtube.com/embed/mlwvxLWfUag 2026-03-17T17:26:19.000Z MathTheBeautiful 869 yes no https://vidert.com/v/math-education/video/15404/the-elementary-properties-of-complex-numbers-according-to-hamilton 2026-03-17T17:26:02.000Z weekly 0.5 https://i.ytimg.com/vi/0298dvKt-j4/maxresdefault.jpg The Elementary Properties of Complex Numbers According to Hamilton https://bit.ly/PavelPatreon https://lem.ma/LA - Linear Algebra on Lemma http://bit.ly/ITCYTNew - Dr. Grinfeld's Tensor Calculus textbook https://lem.ma/prep - Complete SAT Math Prep https://www.youtube.com/embed/0298dvKt-j4 2026-03-17T17:26:02.000Z MathTheBeautiful 1188 yes no https://vidert.com/v/math-education/video/15403/accepting-complex-numbers-hamilton-vs-euler 2026-03-17T17:25:50.000Z weekly 0.5 https://i.ytimg.com/vi/9mWcvY9n_rA/maxresdefault.jpg Accepting Complex Numbers: Hamilton vs Euler https://bit.ly/PavelPatreon https://lem.ma/LA - Linear Algebra on Lemma http://bit.ly/ITCYTNew - Dr. Grinfeld's Tensor Calculus textbook https://lem.ma/prep - Complete SAT Math Prep https://www.youtube.com/embed/9mWcvY9n_rA 2026-03-17T17:25:50.000Z MathTheBeautiful 1133 yes no https://vidert.com/v/math-education/video/15402/the-birth-of-complex-numbers-and-tartaglia-s-formula 2026-03-17T17:25:35.000Z weekly 0.5 https://i.ytimg.com/vi/4eK2FgeLpn8/maxresdefault.jpg The Birth of Complex Numbers and Tartaglia's Formula https://bit.ly/PavelPatreon https://lem.ma/LA - Linear Algebra on Lemma http://bit.ly/ITCYTNew - Dr. Grinfeld's Tensor Calculus textbook https://lem.ma/prep - Complete SAT Math Prep https://www.youtube.com/embed/4eK2FgeLpn8 2026-03-17T17:25:35.000Z MathTheBeautiful 685 yes no https://vidert.com/v/math-education/video/15401/tartaglia-s-formula-in-action-and-numbers-of-the-form-a-b-5 2026-03-17T17:25:21.000Z weekly 0.5 https://i.ytimg.com/vi/nD4E2o3wN4E/maxresdefault.jpg Tartaglia's Formula in Action and Numbers of the form a+b√5 https://bit.ly/PavelPatreon https://lem.ma/LA - Linear Algebra on Lemma http://bit.ly/ITCYTNew - Dr. Grinfeld's Tensor Calculus textbook https://lem.ma/prep - Complete SAT Math Prep https://www.youtube.com/embed/nD4E2o3wN4E 2026-03-17T17:25:21.000Z MathTheBeautiful 825 yes no https://vidert.com/v/math-education/video/15400/tartaglia-s-formula-in-action-two-examples 2026-03-17T17:25:07.000Z weekly 0.5 https://i.ytimg.com/vi/JNnEVu3SFVY/maxresdefault.jpg Tartaglia's Formula in Action: Two Examples https://bit.ly/PavelPatreon https://lem.ma/LA - 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The integral of position vector dotted with unit normal. Complete playlist: https://www.youtube.com/watch?v=W2uOamkVAFw&list=PLlXfTHzgMRUKG7lkye7DQAmNB0cfWNgWG&index=1 https://grinfeld.org https://www.patreon.com/PavelGrinfeld https://grinfeld.org/books/An-Introduction-To-Tensor-Calculus/ https://grinfeld.org/books/A-Tensor-Description-Of-Surfaces-And-Curves/ https://www.youtube.com/embed/v725BtU40q8 2026-03-17T17:23:47.000Z MathTheBeautiful 349 yes no https://vidert.com/v/math-education/video/15396/the-fifth-of-the-seven-beauties-the-integral-of-position-vector-dotted-with-unit 2026-03-17T17:23:34.000Z weekly 0.5 https://i.ytimg.com/vi/duYJzHawlww/maxresdefault.jpg The FIFTH of the seven beauties. The integral of position vector dotted with unit tangent. Complete playlist: https://www.youtube.com/watch?v=W2uOamkVAFw&list=PLlXfTHzgMRUKG7lkye7DQAmNB0cfWNgWG&index=1 https://grinfeld.org https://www.patreon.com/PavelGrinfeld https://grinfeld.org/books/An-Introduction-To-Tensor-Calculus/ https://grinfeld.org/books/A-Tensor-Description-Of-Surfaces-And-Curves/ https://www.youtube.com/embed/duYJzHawlww 2026-03-17T17:23:34.000Z MathTheBeautiful 135 yes no https://vidert.com/v/math-education/video/15395/the-fourth-of-the-seven-beauties-the-integral-of-position-vector-dotted-curvatur 2026-03-17T17:23:21.000Z weekly 0.5 https://i.ytimg.com/vi/eP6EsmxhG04/maxresdefault.jpg The FOURTH of the seven beauties. The integral of position vector dotted curvature normal. Complete playlist: https://www.youtube.com/watch?v=W2uOamkVAFw&list=PLlXfTHzgMRUKG7lkye7DQAmNB0cfWNgWG&index=1 https://grinfeld.org https://www.patreon.com/PavelGrinfeld https://grinfeld.org/books/An-Introduction-To-Tensor-Calculus/ https://grinfeld.org/books/A-Tensor-Description-Of-Surfaces-And-Curves/ https://www.youtube.com/embed/eP6EsmxhG04 2026-03-17T17:23:21.000Z MathTheBeautiful 554 yes no https://vidert.com/v/math-education/video/15394/the-third-of-the-seven-beauties-the-integral-of-unit-normal-over-a-curve 2026-03-17T17:23:09.000Z weekly 0.5 https://i.ytimg.com/vi/UKnr0snI5lQ/maxresdefault.jpg The THIRD of the seven beauties. The integral of unit normal over a curve. Complete playlist: https://www.youtube.com/watch?v=W2uOamkVAFw&list=PLlXfTHzgMRUKG7lkye7DQAmNB0cfWNgWG&index=1 https://grinfeld.org https://www.patreon.com/PavelGrinfeld https://grinfeld.org/books/An-Introduction-To-Tensor-Calculus/ https://grinfeld.org/books/A-Tensor-Description-Of-Surfaces-And-Curves/ https://www.youtube.com/embed/UKnr0snI5lQ 2026-03-17T17:23:09.000Z MathTheBeautiful 273 yes no https://vidert.com/v/math-education/video/15393/the-second-of-the-seven-beauties-the-integral-of-curvature-normal-over-a-curve 2026-03-17T17:22:56.000Z weekly 0.5 https://i.ytimg.com/vi/UeX0IVsGZ48/maxresdefault.jpg The SECOND of the seven beauties! The integral of curvature normal over a curve. Complete playlist: https://www.youtube.com/watch?v=W2uOamkVAFw&list=PLlXfTHzgMRUKG7lkye7DQAmNB0cfWNgWG&index=1 https://grinfeld.org https://www.patreon.com/PavelGrinfeld https://grinfeld.org/books/An-Introduction-To-Tensor-Calculus/ https://grinfeld.org/books/A-Tensor-Description-Of-Surfaces-And-Curves/ https://www.youtube.com/embed/UeX0IVsGZ48 2026-03-17T17:22:56.000Z MathTheBeautiful 479 yes no https://vidert.com/v/math-education/video/15392/a-brief-review-of-curves-and-integration-over-curves 2026-03-17T17:22:41.000Z weekly 0.5 https://i.ytimg.com/vi/cV4VaaPdUtQ/maxresdefault.jpg A brief review of curves and integration over curves. Complete playlist: https://www.youtube.com/watch?v=W2uOamkVAFw&list=PLlXfTHzgMRUKG7lkye7DQAmNB0cfWNgWG&index=1 https://grinfeld.org https://www.patreon.com/PavelGrinfeld https://grinfeld.org/books/An-Introduction-To-Tensor-Calculus/ https://grinfeld.org/books/A-Tensor-Description-Of-Surfaces-And-Curves/ https://www.youtube.com/embed/cV4VaaPdUtQ 2026-03-17T17:22:41.000Z MathTheBeautiful 1759 yes no https://vidert.com/v/math-education/video/15391/the-first-of-the-seven-beauties-the-integral-of-unit-tangent-over-a-curve 2026-03-17T17:22:28.000Z weekly 0.5 https://i.ytimg.com/vi/IZNpmPGt9eU/maxresdefault.jpg The FIRST of the seven beauties! The integral of unit tangent over a curve. Complete playlist: https://www.youtube.com/watch?v=W2uOamkVAFw&list=PLlXfTHzgMRUKG7lkye7DQAmNB0cfWNgWG&index=1 https://grinfeld.org https://www.patreon.com/PavelGrinfeld https://grinfeld.org/books/An-Introduction-To-Tensor-Calculus/ https://grinfeld.org/books/A-Tensor-Description-Of-Surfaces-And-Curves/ https://www.youtube.com/embed/IZNpmPGt9eU 2026-03-17T17:22:28.000Z MathTheBeautiful 503 yes no https://vidert.com/v/math-education/video/15390/the-expression-for-the-arc-length-of-a-curve-in-cartesian-coordinates 2026-03-17T17:22:15.000Z weekly 0.5 https://i.ytimg.com/vi/0YrByXV9w5o/maxresdefault.jpg The Expression for the Arc Length of a Curve in Cartesian Coordinates Complete playlist: https://www.youtube.com/watch?v=W2uOamkVAFw&list=PLlXfTHzgMRUKG7lkye7DQAmNB0cfWNgWG&index=1 https://grinfeld.org https://www.patreon.com/PavelGrinfeld https://grinfeld.org/books/An-Introduction-To-Tensor-Calculus/ https://grinfeld.org/books/A-Tensor-Description-Of-Surfaces-And-Curves/ https://www.youtube.com/embed/0YrByXV9w5o 2026-03-17T17:22:15.000Z MathTheBeautiful 437 yes no https://vidert.com/v/math-education/video/15389/the-geometric-expression-for-the-arc-length-of-a-curve 2026-03-17T17:22:04.000Z weekly 0.5 https://i.ytimg.com/vi/_TUfUH-cF9Q/maxresdefault.jpg The Geometric Expression for the Arc Length of a Curve Complete playlist: https://www.youtube.com/watch?v=W2uOamkVAFw&list=PLlXfTHzgMRUKG7lkye7DQAmNB0cfWNgWG&index=1 https://grinfeld.org https://www.patreon.com/PavelGrinfeld https://grinfeld.org/books/An-Introduction-To-Tensor-Calculus/ https://grinfeld.org/books/A-Tensor-Description-Of-Surfaces-And-Curves/ https://www.youtube.com/embed/_TUfUH-cF9Q 2026-03-17T17:22:04.000Z MathTheBeautiful 1361 yes no https://vidert.com/v/math-education/video/15388/from-physical-to-arithmetic-integrals-achieving-complete-agreement-with-intuitio 2026-03-17T17:21:51.000Z weekly 0.5 https://i.ytimg.com/vi/kRFfM9qsaoQ/maxresdefault.jpg From Physical to Arithmetic Integrals - Achieving Complete Agreement with Intuition Complete playlist: https://www.youtube.com/watch?v=W2uOamkVAFw&list=PLlXfTHzgMRUKG7lkye7DQAmNB0cfWNgWG&index=1 https://grinfeld.org https://www.patreon.com/PavelGrinfeld https://grinfeld.org/books/An-Introduction-To-Tensor-Calculus/ https://grinfeld.org/books/A-Tensor-Description-Of-Surfaces-And-Curves/ https://www.youtube.com/embed/kRFfM9qsaoQ 2026-03-17T17:21:51.000Z MathTheBeautiful 932 yes no https://vidert.com/v/math-education/video/15387/hate-most-advanced-math-books-these-words-of-encouragement-are-for-you 2026-03-17T17:21:40.000Z weekly 0.5 https://i.ytimg.com/vi/HetfjoMuAYc/maxresdefault.jpg Hate most advanced math books? These words of encouragement are for you Complete playlist: https://www.youtube.com/watch?v=W2uOamkVAFw&list=PLlXfTHzgMRUKG7lkye7DQAmNB0cfWNgWG&index=1 https://grinfeld.org https://www.patreon.com/PavelGrinfeld https://grinfeld.org/books/An-Introduction-To-Tensor-Calculus/ https://grinfeld.org/books/A-Tensor-Description-Of-Surfaces-And-Curves/ https://www.youtube.com/embed/HetfjoMuAYc 2026-03-17T17:21:40.000Z MathTheBeautiful 159 yes no https://vidert.com/v/math-education/video/15386/from-physical-to-arithmetic-integrals-how-to-achieve-invariance 2026-03-17T17:21:27.000Z weekly 0.5 https://i.ytimg.com/vi/K3oTHenOmxE/maxresdefault.jpg From Physical to Arithmetic Integrals - How to Achieve Invariance Complete playlist: https://www.youtube.com/watch?v=W2uOamkVAFw&list=PLlXfTHzgMRUKG7lkye7DQAmNB0cfWNgWG&index=1 https://grinfeld.org https://www.patreon.com/PavelGrinfeld https://grinfeld.org/books/An-Introduction-To-Tensor-Calculus/ https://grinfeld.org/books/A-Tensor-Description-Of-Surfaces-And-Curves/ https://www.youtube.com/embed/K3oTHenOmxE 2026-03-17T17:21:27.000Z MathTheBeautiful 991 yes no https://vidert.com/v/math-education/video/15385/converting-a-physical-integral-into-an-arithmetic-one-identifying-the-challenge 2026-03-17T17:21:15.000Z weekly 0.5 https://i.ytimg.com/vi/PESTx5vBUXM/maxresdefault.jpg Converting a Physical Integral into an Arithmetic One: Identifying the Challenge Complete playlist: https://www.youtube.com/watch?v=W2uOamkVAFw&list=PLlXfTHzgMRUKG7lkye7DQAmNB0cfWNgWG&index=1 https://grinfeld.org https://www.patreon.com/PavelGrinfeld https://grinfeld.org/books/An-Introduction-To-Tensor-Calculus/ https://grinfeld.org/books/A-Tensor-Description-Of-Surfaces-And-Curves/ https://www.youtube.com/embed/PESTx5vBUXM 2026-03-17T17:21:15.000Z MathTheBeautiful 568 yes no https://vidert.com/v/math-education/video/15384/why-change-of-variables-is-often-an-inherently-ambiguous-task 2026-03-17T17:21:00.000Z weekly 0.5 https://i.ytimg.com/vi/Wk6qXVucLbo/maxresdefault.jpg Why Change of Variables Is Often an Inherently Ambiguous Task Complete playlist: https://www.youtube.com/watch?v=W2uOamkVAFw&list=PLlXfTHzgMRUKG7lkye7DQAmNB0cfWNgWG&index=1 https://grinfeld.org https://www.patreon.com/PavelGrinfeld https://grinfeld.org/books/An-Introduction-To-Tensor-Calculus/ https://grinfeld.org/books/A-Tensor-Description-Of-Surfaces-And-Curves/ https://www.youtube.com/embed/Wk6qXVucLbo 2026-03-17T17:21:00.000Z MathTheBeautiful 250 yes no https://vidert.com/v/math-education/video/15383/the-derivative-of-the-inverse-function-or-how-to-reparameterize-a-curve 2026-03-17T17:20:48.000Z weekly 0.5 https://i.ytimg.com/vi/qpIyb-0B1Jw/maxresdefault.jpg The Derivative of the Inverse Function, or How to Reparameterize a Curve Complete playlist: https://www.youtube.com/watch?v=W2uOamkVAFw&list=PLlXfTHzgMRUKG7lkye7DQAmNB0cfWNgWG&index=1 https://grinfeld.org https://www.patreon.com/PavelGrinfeld https://grinfeld.org/books/An-Introduction-To-Tensor-Calculus/ https://grinfeld.org/books/A-Tensor-Description-Of-Surfaces-And-Curves/ https://www.youtube.com/embed/qpIyb-0B1Jw 2026-03-17T17:20:48.000Z MathTheBeautiful 849 yes no https://vidert.com/v/math-education/video/15382/the-derivative-of-the-inverse-function-why-it-is-confusing-and-how-to-eventually 2026-03-17T17:20:35.000Z weekly 0.5 https://i.ytimg.com/vi/l6GAdIU67tE/maxresdefault.jpg The Derivative of the Inverse Function - Why It Is Confusing (and how to eventually fix it) Complete playlist: https://www.youtube.com/watch?v=W2uOamkVAFw&list=PLlXfTHzgMRUKG7lkye7DQAmNB0cfWNgWG&index=1 https://grinfeld.org https://www.patreon.com/PavelGrinfeld https://grinfeld.org/books/An-Introduction-To-Tensor-Calculus/ https://grinfeld.org/books/A-Tensor-Description-Of-Surfaces-And-Curves/ https://www.youtube.com/embed/l6GAdIU67tE 2026-03-17T17:20:35.000Z MathTheBeautiful 561 yes no https://vidert.com/v/math-education/video/15381/integration-by-substitution-is-an-application-of-the-chain-rule 2026-03-17T17:20:21.000Z weekly 0.5 https://i.ytimg.com/vi/8kCCYdgyFvw/maxresdefault.jpg Integration by Substitution Is an Application of the Chain Rule Complete playlist: https://www.youtube.com/watch?v=W2uOamkVAFw&list=PLlXfTHzgMRUKG7lkye7DQAmNB0cfWNgWG&index=1 https://grinfeld.org https://www.patreon.com/PavelGrinfeld https://grinfeld.org/books/An-Introduction-To-Tensor-Calculus/ https://grinfeld.org/books/A-Tensor-Description-Of-Surfaces-And-Curves/ https://www.youtube.com/embed/8kCCYdgyFvw 2026-03-17T17:20:21.000Z MathTheBeautiful 424 yes no https://vidert.com/v/math-education/video/15380/the-need-for-arbitrary-parameterizations-of-curves 2026-03-17T17:20:10.000Z weekly 0.5 https://i.ytimg.com/vi/F54yUyUeV7E/maxresdefault.jpg The Need for Arbitrary Parameterizations of Curves Complete playlist: https://www.youtube.com/watch?v=W2uOamkVAFw&list=PLlXfTHzgMRUKG7lkye7DQAmNB0cfWNgWG&index=1 https://grinfeld.org https://www.patreon.com/PavelGrinfeld https://grinfeld.org/books/An-Introduction-To-Tensor-Calculus/ https://grinfeld.org/books/A-Tensor-Description-Of-Surfaces-And-Curves/ https://www.youtube.com/embed/F54yUyUeV7E 2026-03-17T17:20:10.000Z MathTheBeautiful 367 yes no https://vidert.com/v/math-education/video/15379/arithmetic-integrals-and-the-fundamental-theorem-of-calculus 2026-03-17T17:19:58.000Z weekly 0.5 https://i.ytimg.com/vi/xl_WNTKME4A/maxresdefault.jpg Arithmetic Integrals And the Fundamental Theorem of Calculus Complete playlist: https://www.youtube.com/watch?v=W2uOamkVAFw&list=PLlXfTHzgMRUKG7lkye7DQAmNB0cfWNgWG&index=1 https://grinfeld.org https://www.patreon.com/PavelGrinfeld https://grinfeld.org/books/An-Introduction-To-Tensor-Calculus/ https://grinfeld.org/books/A-Tensor-Description-Of-Surfaces-And-Curves/ https://www.youtube.com/embed/xl_WNTKME4A 2026-03-17T17:19:58.000Z MathTheBeautiful 331 yes no https://vidert.com/v/math-education/video/15378/geometric-integrals-a-fundamental-concept-to-be-accepted-on-an-intuitive-basis 2026-03-17T17:19:45.000Z weekly 0.5 https://i.ytimg.com/vi/utPPC6lsPBM/maxresdefault.jpg Geometric Integrals - a Fundamental Concept to Be Accepted on an Intuitive Basis Complete playlist: https://www.youtube.com/watch?v=W2uOamkVAFw&list=PLlXfTHzgMRUKG7lkye7DQAmNB0cfWNgWG&index=1 https://grinfeld.org https://www.patreon.com/PavelGrinfeld https://grinfeld.org/books/An-Introduction-To-Tensor-Calculus/ https://grinfeld.org/books/A-Tensor-Description-Of-Surfaces-And-Curves/ https://www.youtube.com/embed/utPPC6lsPBM 2026-03-17T17:19:45.000Z MathTheBeautiful 1364 yes no https://vidert.com/v/math-education/video/15377/hypersurfaces-unit-normals-and-signed-curvature 2026-03-17T17:19:34.000Z weekly 0.5 https://i.ytimg.com/vi/a0sexCcKVzs/maxresdefault.jpg Hypersurfaces, Unit Normals, and Signed Curvature Complete playlist: https://www.youtube.com/watch?v=W2uOamkVAFw&list=PLlXfTHzgMRUKG7lkye7DQAmNB0cfWNgWG&index=1 https://grinfeld.org https://www.patreon.com/PavelGrinfeld https://grinfeld.org/books/An-Introduction-To-Tensor-Calculus/ https://grinfeld.org/books/A-Tensor-Description-Of-Surfaces-And-Curves/ https://www.youtube.com/embed/a0sexCcKVzs 2026-03-17T17:19:34.000Z MathTheBeautiful 1120 yes no https://vidert.com/v/math-education/video/15376/the-curvature-of-a-curve-its-principal-normal-and-its-osculating-plane 2026-03-17T17:19:19.000Z weekly 0.5 https://i.ytimg.com/vi/pryOWL6cWiY/maxresdefault.jpg The Curvature of a Curve, Its Principal Normal, And Its Osculating Plane Complete playlist: https://www.youtube.com/watch?v=W2uOamkVAFw&list=PLlXfTHzgMRUKG7lkye7DQAmNB0cfWNgWG&index=1 https://grinfeld.org https://www.patreon.com/PavelGrinfeld https://grinfeld.org/books/An-Introduction-To-Tensor-Calculus/ https://grinfeld.org/books/A-Tensor-Description-Of-Surfaces-And-Curves/ https://www.youtube.com/embed/pryOWL6cWiY 2026-03-17T17:19:19.000Z MathTheBeautiful 1098 yes no https://vidert.com/v/math-education/video/15375/the-torsion-of-a-curve 2026-03-17T17:19:04.000Z weekly 0.5 https://i.ytimg.com/vi/Yf-pzEHErmY/maxresdefault.jpg The Torsion of a Curve Complete playlist: https://www.youtube.com/watch?v=W2uOamkVAFw&list=PLlXfTHzgMRUKG7lkye7DQAmNB0cfWNgWG&index=1 https://grinfeld.org https://www.patreon.com/PavelGrinfeld https://grinfeld.org/books/An-Introduction-To-Tensor-Calculus/ https://grinfeld.org/books/A-Tensor-Description-Of-Surfaces-And-Curves/ https://www.youtube.com/embed/Yf-pzEHErmY 2026-03-17T17:19:04.000Z MathTheBeautiful 1010 yes no https://vidert.com/v/math-education/video/15374/linear-decomposition-by-the-dot-product 2026-03-17T17:18:50.000Z weekly 0.5 https://i.ytimg.com/vi/MTdQ1zFuRpw/maxresdefault.jpg Linear Decomposition by the Dot Product Complete playlist: https://www.youtube.com/watch?v=W2uOamkVAFw&list=PLlXfTHzgMRUKG7lkye7DQAmNB0cfWNgWG&index=1 https://grinfeld.org https://www.patreon.com/PavelGrinfeld https://grinfeld.org/books/An-Introduction-To-Tensor-Calculus/ https://grinfeld.org/books/A-Tensor-Description-Of-Surfaces-And-Curves/ https://www.youtube.com/embed/MTdQ1zFuRpw 2026-03-17T17:18:50.000Z MathTheBeautiful 1173 yes no https://vidert.com/v/math-education/video/15373/the-arc-length-parameterization 2026-03-17T17:18:38.000Z weekly 0.5 https://i.ytimg.com/vi/CycH2CqIkrc/maxresdefault.jpg The Arc Length Parameterization Complete playlist: https://www.youtube.com/watch?v=W2uOamkVAFw&list=PLlXfTHzgMRUKG7lkye7DQAmNB0cfWNgWG&index=1 https://grinfeld.org https://www.patreon.com/PavelGrinfeld https://grinfeld.org/books/An-Introduction-To-Tensor-Calculus/ https://grinfeld.org/books/A-Tensor-Description-Of-Surfaces-And-Curves/ https://www.youtube.com/embed/CycH2CqIkrc 2026-03-17T17:18:38.000Z MathTheBeautiful 857 yes no https://vidert.com/v/math-education/video/15372/the-analysis-of-the-unit-circle-as-a-planar-curve-in-differential-geometry 2026-03-17T17:18:26.000Z weekly 0.5 https://i.ytimg.com/vi/6vADRY-t8Ck/maxresdefault.jpg The Analysis of the Unit Circle as a Planar Curve in Differential Geometry. Complete playlist: https://www.youtube.com/watch?v=W2uOamkVAFw&list=PLlXfTHzgMRUKG7lkye7DQAmNB0cfWNgWG&index=1 https://grinfeld.org https://www.patreon.com/PavelGrinfeld https://grinfeld.org/books/An-Introduction-To-Tensor-Calculus/ https://grinfeld.org/books/A-Tensor-Description-Of-Surfaces-And-Curves/ https://www.youtube.com/embed/6vADRY-t8Ck 2026-03-17T17:18:26.000Z MathTheBeautiful 848 yes no https://vidert.com/v/math-education/video/15371/the-closest-point-on-a-curve-to-a-given-point-combing-calculus-and-geometry 2026-03-17T17:18:15.000Z weekly 0.5 https://i.ytimg.com/vi/C364LMHC8c8/maxresdefault.jpg The Closest Point on a Curve to a Given Point: Combing Calculus And Geometry Complete playlist: https://www.youtube.com/watch?v=W2uOamkVAFw&list=PLlXfTHzgMRUKG7lkye7DQAmNB0cfWNgWG&index=1 https://grinfeld.org https://www.patreon.com/PavelGrinfeld https://grinfeld.org/books/An-Introduction-To-Tensor-Calculus/ https://grinfeld.org/books/A-Tensor-Description-Of-Surfaces-And-Curves/ https://www.youtube.com/embed/C364LMHC8c8 2026-03-17T17:18:15.000Z MathTheBeautiful 914 yes no https://vidert.com/v/math-education/video/15370/kinematic-analysis-of-a-rigid-bar 2026-03-17T17:18:03.000Z weekly 0.5 https://i.ytimg.com/vi/HfXNjS2hTVg/maxresdefault.jpg Kinematic Analysis of a Rigid Bar Complete playlist: https://www.youtube.com/watch?v=W2uOamkVAFw&list=PLlXfTHzgMRUKG7lkye7DQAmNB0cfWNgWG&index=1 https://grinfeld.org https://www.patreon.com/PavelGrinfeld https://grinfeld.org/books/An-Introduction-To-Tensor-Calculus/ https://grinfeld.org/books/A-Tensor-Description-Of-Surfaces-And-Curves/ https://www.youtube.com/embed/HfXNjS2hTVg 2026-03-17T17:18:03.000Z MathTheBeautiful 717 yes no https://vidert.com/v/math-education/video/15369/classical-euclidean-geometry-is-limited-to-three-dimensions 2026-03-17T17:17:51.000Z weekly 0.5 https://i.ytimg.com/vi/s6hvx7VPu3E/maxresdefault.jpg Classical Euclidean Geometry Is Limited to Three Dimensions Complete playlist: https://www.youtube.com/watch?v=W2uOamkVAFw&list=PLlXfTHzgMRUKG7lkye7DQAmNB0cfWNgWG&index=1 https://grinfeld.org https://www.patreon.com/PavelGrinfeld https://grinfeld.org/books/An-Introduction-To-Tensor-Calculus/ https://grinfeld.org/books/A-Tensor-Description-Of-Surfaces-And-Curves/ https://www.youtube.com/embed/s6hvx7VPu3E 2026-03-17T17:17:51.000Z MathTheBeautiful 194 yes no https://vidert.com/v/math-education/video/15368/constant-speed-motion-analysis-via-differentiation-of-vector-valued-functions 2026-03-17T17:17:39.000Z weekly 0.5 https://i.ytimg.com/vi/5dnkmQvYrxQ/maxresdefault.jpg Constant Speed Motion - Analysis via differentiation of vector-valued functions Complete playlist: https://www.youtube.com/watch?v=W2uOamkVAFw&list=PLlXfTHzgMRUKG7lkye7DQAmNB0cfWNgWG&index=1 https://grinfeld.org https://www.patreon.com/PavelGrinfeld https://grinfeld.org/books/An-Introduction-To-Tensor-Calculus/ https://grinfeld.org/books/A-Tensor-Description-Of-Surfaces-And-Curves/ https://www.youtube.com/embed/5dnkmQvYrxQ 2026-03-17T17:17:39.000Z MathTheBeautiful 590 yes no https://vidert.com/v/math-education/video/15367/the-properties-of-vector-differentiation 2026-03-17T17:17:25.000Z weekly 0.5 https://i.ytimg.com/vi/eE3Tpv6fdmI/maxresdefault.jpg The Properties of Vector Differentiation Complete playlist: https://www.youtube.com/watch?v=W2uOamkVAFw&list=PLlXfTHzgMRUKG7lkye7DQAmNB0cfWNgWG&index=1 https://grinfeld.org https://www.patreon.com/PavelGrinfeld https://grinfeld.org/books/An-Introduction-To-Tensor-Calculus/ https://grinfeld.org/books/A-Tensor-Description-Of-Surfaces-And-Curves/ https://www.youtube.com/embed/eE3Tpv6fdmI 2026-03-17T17:17:25.000Z MathTheBeautiful 860 yes no https://vidert.com/v/math-education/video/15366/the-main-intuitive-idea-of-calculus-applied-to-curves-in-differential-geometry 2026-03-17T17:17:13.000Z weekly 0.5 https://i.ytimg.com/vi/vOkLchuzMPc/maxresdefault.jpg The Main Intuitive Idea of Calculus (applied to curves in Differential Geometry) Complete playlist: https://www.youtube.com/watch?v=W2uOamkVAFw&list=PLlXfTHzgMRUKG7lkye7DQAmNB0cfWNgWG&index=1 https://grinfeld.org https://www.patreon.com/PavelGrinfeld https://grinfeld.org/books/An-Introduction-To-Tensor-Calculus/ https://grinfeld.org/books/A-Tensor-Description-Of-Surfaces-And-Curves/ https://www.youtube.com/embed/vOkLchuzMPc 2026-03-17T17:17:13.000Z MathTheBeautiful 527 yes no https://vidert.com/v/math-education/video/15365/the-geometric-interpretation-of-the-derivative-of-a-vector-valued-function 2026-03-17T17:16:59.000Z weekly 0.5 https://i.ytimg.com/vi/-RvdIZg0NYc/maxresdefault.jpg The Geometric Interpretation of the DERIVATIVE of a Vector-Valued Function Complete playlist: https://www.youtube.com/watch?v=W2uOamkVAFw&list=PLlXfTHzgMRUKG7lkye7DQAmNB0cfWNgWG&index=1 https://grinfeld.org https://www.patreon.com/PavelGrinfeld https://grinfeld.org/books/An-Introduction-To-Tensor-Calculus/ https://grinfeld.org/books/A-Tensor-Description-Of-Surfaces-And-Curves/ https://www.youtube.com/embed/-RvdIZg0NYc 2026-03-17T17:16:59.000Z MathTheBeautiful 665 yes no https://vidert.com/v/math-education/video/12005/so-you-want-another-logarithm-triangle-w-law-of-cosines-this-time 2026-03-17T02:29:21.000Z weekly 0.5 https://i.ytimg.com/vi/ug6JPCC26QE/maxresdefault.jpg So you want another logarithm triangle (w/ law of cosines this time!) Answering a viewer's question today! Here's a triangle where the sides are ln(x), ln(2x), ln(3x), along with an angle we know, and using the law of cosines. The logarithmic RIGHT triangle: https://youtu.be/CMdJPwEbE8A?si=3ncgwcOITTNScAj2 Law of cosines proof: https://youtu.be/843Uw-Hj-OQ?si=3pAxucAji-974Vpr 🛍 Shop my math t-shirts & hoodies: 👉 https://amzn.to/3qBeuw6 👉 Support this channel https://www.patreon.com/blackpenredpen #blackpenredpen #calculus https://www.youtube.com/embed/ug6JPCC26QE 2026-03-17T02:29:21.000Z blackpenredpen 396 yes no https://vidert.com/v/math-education/video/11275/feeling-grumpy-about-pi-day-numberphile 2026-03-16T23:23:05.000Z weekly 0.5 https://i.ytimg.com/vi/TLV6e41-uxc/maxresdefault.jpg Feeling Grumpy about Pi Day - Numberphile Date formats and other reasons for Pi Day grumpiness from emeritus astronomy professor Mike Merrifield. More links & stuff in full description below ↓↓↓ More Pi videos from Numberphile: https://www.youtube.com/playlist?list=PL4870492ACBDC2E7C Professor Merrifield on Sixty Symbols (our physics channel): https://www.youtube.com/playlist?list=PLcUY9vudNKBNGAgplgACrGL9UlxyDHq7k Professor Merrifield is also a regular on Deep Sky Videos (our astronomy channel): https://www.youtube.com/@DeepSkyVideos Patreon: http://www.patreon.com/numberphile Numberphile is supported by Jane Street. Learn more about them (and exciting career opportunities) at: https://bit.ly/numberphile-janestreet We are also grateful for support from the Ben Delo Foundation - https://delo.org/ NUMBERPHILE Website: http://www.numberphile.com/ Videos by Brady Haran Numberphile T-Shirts and Merch: https://teespring.com/stores/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9 https://www.youtube.com/embed/TLV6e41-uxc 2026-03-16T23:23:05.000Z Numberphile 297 yes no https://vidert.com/v/math-education/video/11235/calculating-pi-with-skittles-and-census-data-numberphile 2026-03-16T23:13:51.000Z weekly 0.5 https://i.ytimg.com/vi/7O6ej9OSW2w/maxresdefault.jpg Calculating Pi with Skittles and Census Data - Numberphile Tony Padilla calculates Pi with Skittles - then uses UK population data to do the same thing. Results may vary! More links & stuff in full description below ↓↓↓ More Pi videos from Numberphile - https://www.youtube.com/playlist?list=PL4870492ACBDC2E7C More Tony Padilla videos - https://www.youtube.com/playlist?list=PLt5AfwLFPxWL8KAJKO3WfHhJcWrJfjgfU Tony Padilla's book Fantastic Numbers and Where to Find Them - https://amzn.to/3VywNyy Tony is a professor at the University of Nottingham. Patreon: http://www.patreon.com/numberphile Numberphile is supported by Jane Street. Learn more about them (and exciting career opportunities) at: https://bit.ly/numberphile-janestreet We are also grateful for support from the Ben Delo Foundation - https://delo.org/ NUMBERPHILE Website: http://www.numberphile.com/ Videos by Brady Haran Numberphile T-Shirts and Merch: https://teespring.com/stores/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9 https://www.youtube.com/embed/7O6ej9OSW2w 2026-03-16T23:13:51.000Z Numberphile 496 yes no https://vidert.com/v/math-education/video/5177/large-language-models-explained-briefly 2024-11-20T15:07:15.000Z weekly 0.5 https://i.ytimg.com/vi/LPZh9BOjkQs/maxresdefault.jpg Large Language Models explained briefly A light intro to LLMs, chatbots, pretraining, and transformers. Dig deeper here: https://www.youtube.com/playlist?list=PLZHQObOWTQDNU6R1_67000Dx_ZCJB-3pi Technical details as a talk: https://youtu.be/KJtZARuO3JY This was made for an exhibit at the Computer History Museum: https://computerhistory.org/ Instead of sponsored ad reads, these lessons are funded directly by viewers: https://3b1b.co/support No secret end-screen vlog for this one, the end-screen real estate was all full! ------------------ These animations are largely made using a custom Python library, manim. See the FAQ comments here: https://3b1b.co/faq#manim https://github.com/3b1b/manim https://github.com/ManimCommunity/manim/ All code for specific videos is visible here: https://github.com/3b1b/videos/ The music is by Vincent Rubinetti. https://www.vincentrubinetti.com https://vincerubinetti.bandcamp.com/album/the-music-of-3blue1brown https://open.spotify.com/album/1dVyjwS8FBqXhRunaG5W5u ------------------ 3blue1brown is a channel about animating math, in all senses of the word animate. If you're reading the bottom of a video description, I'm guessing you're more interested than the average viewer in lessons here. It would mean a lot to me if you chose to stay up to date on new ones, either by subscribing here on YouTube or otherwise following on whichever platform below you check most regularly. Mailing list: https://3blue1brown.substack.com Twitter: https://twitter.com/3blue1brown Instagram: https://www.instagram.com/3blue1brown Reddit: https://www.reddit.com/r/3blue1brown Facebook: https://www.facebook.com/3blue1brown Patreon: https://patreon.com/3blue1brown Website: https://www.3blue1brown.com https://www.youtube.com/embed/LPZh9BOjkQs 2024-11-20T15:07:15.000Z 3Blue1Brown 478 yes no https://vidert.com/v/math-education/video/5218/the-hyper-moser-and-other-mega-numbers-numberphile 2025-03-14T10:10:18.000Z weekly 0.5 https://i.ytimg.com/vi/Jw_ZPdnHGzg/maxresdefault.jpg The Hyper Moser (and other Mega Numbers) - Numberphile Tony Padilla explores the Mega and Moser. Check out the free trial from episode sponsor Brilliant - https://brilliant.org/numberphile --- More links & stuff in full description below ↓↓↓ Extra video from this interview on Numberphile2: https://youtu.be/ADwK4BgwzP8 Big numbers playlist: https://www.youtube.com/playlist?list=PLt5AfwLFPxWJ_FwchNAjB3xa8UnoKdmQI Graham's Number playlist: https://www.youtube.com/playlist?list=PLt5AfwLFPxWKZEG7KVg6HfdN2uWFLIB5q Tony Padilla is a professor at the University of Nottingham and author of “Fantastic Numbers and Where to Find Them” - https://amzn.to/3U6DRSM Some extra Steinhaus and Moser links that might be useful... https://googology.fandom.com/wiki/Steinhaus-Moser_Notation https://sites.google.com/site/allamsnumbers/home/part-2/steinhaus-moser-notation Patreon: http://www.patreon.com/numberphile Numberphile is supported by Jane Street. Learn more about them (and exciting career opportunities) at: https://bit.ly/numberphile-janestreet NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Videos by Brady Haran Numberphile T-Shirts and Merch: https://teespring.com/stores/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9 https://www.youtube.com/embed/Jw_ZPdnHGzg 2025-03-14T10:10:18.000Z Numberphile 1394 yes no https://vidert.com/v/math-education/video/5219/a-1-58-dimensional-object-numberphile 2025-03-07T15:20:53.000Z weekly 0.5 https://i.ytimg.com/vi/FnRhnZbDprE/maxresdefault.jpg A 1.58-Dimensional Object - Numberphile Featuring Ben Sparks on all sorts of fractals, Sierpiński triangles, and other amazing stuff including imaginary cubes... Extra from this interview at https://youtu.be/Yz06NW6DwsE --- More links & stuff in full description below ↓↓↓ Some bonus stuff from this video just for Patrons: https://www.patreon.com/posts/123766224 Ben Sparks: https://www.bensparks.co.uk More Ben Sparks on Numberphile: http://bit.ly/Sparks_Playlist In this companion video on his own channel, Ben builds a Fractal Tetrahedron live in GeoGebra: https://youtu.be/YND98T1Jh3k The Chaos Game: https://www.youtube.com/watch?v=kbKtFN71Lfs Hideki Tsuiki (including his sculptures): https://www.i.h.kyoto-u.ac.jp/users/tsuiki/icube/home/index-e.html Triangle videos: https://www.youtube.com/playlist?list=PLt5AfwLFPxWJ7AKrG9_sQPw6hsR1QnFXn Patreon: http://www.patreon.com/numberphile Numberphile is supported by Jane Street. Learn more about them (and exciting career opportunities) at: https://bit.ly/numberphile-janestreet Video by Brady Haran and Pete McPartlan Numberphile T-Shirts and Merch: https://teespring.com/stores/numberphile Brady's latest videos across all channels: http://www.bradyharanblog.com/ Thanks to our patrons, including: Juan Benet, Matthew Feinberg, Jeff Straathof, Ben Delo, Ken Baron, Andy B, Watts Wire Extension Cords, Michael Dunworth, Yana Chernobilsky, James Bissonette, Jubal John, Ben White, Andrei M Burke, P.E., RAD Donato, Matthew Schuster, Ron Hochsprung, Ubiquity Ventures, Gnare, Mike Gelbart, Tracy Parry, Ian George Walker, Arnas , Bernd Sing, Valentin , Alex Khein, Doug Hoffman, John Loach, Anton Smyk, Scott, digit777, Adam Savage, Rodrigo Martin, Norman Walsh, Patrick W. Gilmore, Melissa Kwan, Michael Zappe, Chris Connett, Ethan Lutske, Kenneth Albanowski, divad , Lambda3, Jeff Linse, Jaewon Jung, Hendrik P, Baadrix, Rob Nichols, Ahmed Hindawi, Wraithan McCarroll, Stephan Hartmann, Stephen Hart, Heather at Highway Mind, Wim Hoskens, Jeff Butterworth, Bradley Pirtle, Colin Williams, David Bar-On, David Collison, D https://www.youtube.com/embed/FnRhnZbDprE 2025-03-07T15:20:53.000Z Numberphile 1225 yes no https://vidert.com/v/math-education/video/5154/how-ai-connects-text-and-images 2025-08-21T18:24:11.000Z weekly 0.5 https://i.ytimg.com/vi/j5h9dBtWZXM/maxresdefault.jpg How AI connects text and images From this guest video by @WelchLabs on how diffusion models work: https://youtu.be/iv-5mZ_9CPY https://www.youtube.com/embed/j5h9dBtWZXM 2025-08-21T18:24:11.000Z 3Blue1Brown 103 yes no https://vidert.com/v/math-education/video/5078/i-m-sorry-i-have-been-saying-let-x-1-wrong-for-13-years 2025-09-08T12:00:20.000Z weekly 0.5 https://i.ytimg.com/vi/B3iEUwL2PVo/maxresdefault.jpg I’m sorry, I have been saying “let x=1” wrong for 13 years Math teacher teaching English grammar? Yes, how would you say "let x=1"? Special thanks to ChatGPT for helping me with the English grammar! 👉 Support this channel and get more content https://www.patreon.com/blackpenredpen https://www.youtube.com/embed/B3iEUwL2PVo 2025-09-08T12:00:20.000Z blackpenredpen 156 yes no https://vidert.com/v/math-education/video/5081/calculus-students-don-t-use-these-inequalities-anymore 2025-08-15T10:52:53.000Z weekly 0.5 https://i.ytimg.com/vi/MG6swn5gAr4/maxresdefault.jpg Calculus students don’t use these inequalities anymore! Most of us tend to just use calculus to find the minimum and maximum values of a function. However, sometimes, some inequalities can get the job done in a much efficient way! Here, let me introduce (or remind) you of 3 common inequalities that you should definitely keep in mind! 0:00 Addressing a bad calculus habit 0:34 Triangle Inequality 6:23 Cauchy-Schwarz Inequality 12:40 AM-GM Inequality Support this channel and get more content 👉 https://www.patreon.com/blackpenredpen ---------------------------------------- Big thanks to my Patrons for the full-marathon support! Ben D, Grant S, Mark M, Phillippe S. Michael Z, Jan P. Devun C. Stefan C. Ethan BW Didion S. NN Minkyu Y Brandon F Levon M shortsleeve Jack P Gabriel G Yeeted C David H Mateo F Emma M Eden E Minicat Jose R Nicholas Fey Tyler B Lucas W Ahmet Ö An R Camila L Luupo Farrah Batman 1127 Mathguru Дмитрий П. Michelle L. Alin V. Archer. L Ali. Subotai B. Spencer A. Chris Jason B. Ou S. Nuddi M. Jackson M. Jordan T. Gregorio B. Omkar N. John D. Zero Jeffrey C J D Chaz W. Ryan Turbo S Arcana Rehan M Lukasz M NaiKang W Kevin Y Gamesh K kelvin P 형우 박 Minda W Erik P Sebastian C Ryan M Billy J Kian S Stormm HOm3l3ss b Nathan Y Aidyn R ---------------------------------------- 🛍 Shop my math t-shirt & hoodies: https://amzn.to/3qBeuw6 ---------------------------------------- #blackpenredpen #math #calculus #mathtutorials https://www.youtube.com/embed/MG6swn5gAr4 2025-08-15T10:52:53.000Z blackpenredpen 997 yes no https://vidert.com/v/math-education/video/5088/a-fancier-way-to-solve-this-radical-equation 2025-07-16T23:32:56.000Z weekly 0.5 https://i.ytimg.com/vi/aX4IHM0VcXk/maxresdefault.jpg A fancier way to solve this radical equation Learn more math with Brilliant, click https://brilliant.org/blackpenredpen/ and get a 30-day free trial plus a 20% off your annual premium subscription. Here's a fancier way to solve a two-cube-root equation, (x-40)^(1/3)+(-x+3)^(1/3)=-1. We will actually turn this radical equation into a system of equations! Check out how to solve this by "just cubing both sides" here https://www.patreon.com/posts/134384333 #blackpenredpen #math #calculus #mathtutorials https://www.youtube.com/embed/aX4IHM0VcXk 2025-07-16T23:32:56.000Z blackpenredpen 445 yes no