Math

With Dr Holly Krieger from Murray Edwards College, University of Cambridge. Have a look at Brilliant (and get 20% off) here: https://brilliant.org/Numberphile More Numberphile videos with Dr Krieger: http://bit.ly/HollyKrieger Her Twitter: https://twitter.com/hollykrieger Extra detail via Holly: Here’s a link to an article (meant for a somewhat general audience) by Bob Devaney explaining the numbers of

Visual explanation of the difference of squares formula from math class The Difference – The Wallflowers https://youtu.be/5qSAMtomFvk

It’s not so simple to solve for this simple answer. Thanks to all patrons! Special thanks this month to: Richard Ohnemus, Michael Anvari, Shrihari Puranik, Kyle. WolframAlpha Get Real with Wolfram|Alpha—Computing Roots https://www.wolframalpha.com/input/?i=cuberoot(8%2B3*sqrt(21))%2Bcuberoot(8-3*sqrt(21)) https://www.wolframalpha.com/input/?i=(8%2B3*sqrt(21))%5E(1%2F3)%2B(8-3*sqrt(21))%5E(1%2F3) Subscribe: https://www.youtube.com/user/MindYourDecisions?sub_confirmation=1 Playlist to watch all videos on MindYourDecisions: https://www.youtube.com/playlist?list=UUHnj59g7jezwTy5GeL8EA_g This is the only channel to feature math topics suggested by

Featuring Neil Sloane from the OEIS. Full “Amazing Graphs Trilogy” and extras at: https://www.youtube.com/playlist?list=PLt5AfwLFPxWLkoPqhxvuA8183hh1rBnGM More links & stuff in full description below ↓↓↓ Neil Sloane is founder of the OEIS: https://oeis.org More videos with Neil: http://bit.ly/Sloane_Numberphile Amazing Graphs Part 1: https://youtu.be/pAMgUB51XZA Part 2: https://youtu.be/o8c4uYnnNnc Part 3: https://youtu.be/j0o-pMIR8uk Extra Bit: https://youtu.be/4x2kdLFUSvM Sequences featured in this video

It may not be exactly 99 percent, but many people will get the incorrect answer. It’s a great teaching opportunity. Learn how to solve this problem! (There are multiple ways, I am presenting one valid method). Previous video Source https://www.instagram.com/p/BxOfZBVB2Mo/ Subscribe: https://www.youtube.com/user/MindYourDecisions?sub_confirmation=1 Send me suggestions by email (address in video). I consider all ideas though

Johnny Ball discusses Archimedes and the volume of a sphere. Check out https://www.kiwico.com/Numberphile and get 50% off your first month of any subscription (sponsor) More links & stuff in full description below ↓↓↓ Johnny Ball: https://johnnyball.co.uk More Numberphile videos with Johnny Ball: http://bit.ly/Johnny_Ball Johnny Ball books: https://amzn.to/3v8Xxqx Numberphile is supported by the Mathematical Sciences Research

This was given to 13-14 year olds in Russia. Thanks to Egor Nazarov for suggesting this problem! Thanks to all patrons! Special thanks this month to Kyle, Michael Anvari, Richard Ohnemus, Shrihari Puranik. Get early access to videos and support the channel on Patreon https://www.patreon.com/mindyourdecisions Subscribe: https://www.youtube.com/user/MindYourDecisions?sub_confirmation=1 Send me suggestions by email (address in video).

Some say only geniuses can solve this one. The video presents a sentence and asks you to identify all of the five errors. Can you figure it out? It is a tricky but I think many of you are clever enough to figure it out. My blog post for this video: https://wp.me/p6aMk-5iC If you like

Preston McAfee is the chief economist at Microsoft. More links & stuff in full description below ↓↓↓ Benford’s Law: https://youtu.be/XXjlR2OK1kM Preston McAfee: http://www.mcafee.cc Animation by Pete McPartlan Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://bit.ly/MSRINumberphile MSRI on Twitter: https://twitter.com/mathmoves We are also supported by Science Sandbox, a Simons Foundation initiative dedicated to

Thanks to Peter for sending me this problem! This is a really fun one and I encourage you to work it out. A priest and a cantor have a conversation about the product and sum of three visitors. After a few exchanges, the cantor figures out the visitors ages. But wait, how old is the

Rotating cedar balls. Here’s a playlist of Tadashi Tokieda videos: http://bit.ly/tadashi_vids More links & stuff in full description below ↓↓↓ Electric slide rule: https://youtu.be/MEyIppEOQTw Support us on Patreon: http://www.patreon.com/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 Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://bit.ly/MSRINumberphile Videos by Brady

This is a fun little geometry problem. Thanks to Divyesh for the suggestion! Subscribe: https://www.youtube.com/user/MindYourDecisions?sub_confirmation=1 Send me suggestions by email (address at end of many videos). I may not reply but I do consider all ideas! If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate

This is a math joke from Wikipedia’s article on mathematical fallacies: https://en.wikipedia.org/wiki/Mathematical_fallacy#Howlers Thanks to Jetx 47 for the reference to Wikipedia. #Shorts Subscribe: https://www.youtube.com/user/MindYourDecisions?sub_confirmation=1 Send me suggestions by email (address at end of many videos). I may not reply but I do consider all ideas! If you purchase through these links, I may be compensated

This one stumped me. Can you figure it out? #shorts Source https://matchstickpuzzles.blogspot.com/2021/05/635-one-is-not-equal-to-six.html Subscribe: https://www.youtube.com/user/MindYourDecisions?sub_confirmation=1 Send me suggestions by email (address at end of many videos). I may not reply but I do consider all ideas! If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I

Fun with toothpicks. Featuring Neil Sloane. More links & stuff in full description below ↓↓↓ Neil Sloane is the founder of the On-Line Encyclopedia of Integer Sequences: https://oeis.org Play with the toothpick simulator: http://oeis.org/A139250/a139250.anim.html The Toothpick Sequence and Other Sequences from Cellular Automata by David Applegate, Omar E. Pol, and N. J. A. Sloane: https://arxiv.org/abs/1004.3036

Happy Pi Day! Sato Moshun and Leonardo da Vinci independently devised an incredible visualization to find the formula for a circle’s area. #Shorts (Apologies there was no early access on Patreon–I finished making the video just in time for Pi Day). Wikipedia https://en.wikipedia.org/wiki/Area_of_a_circle#Rearrangement_proof Cut The Knot area of a circle https://www.cut-the-knot.org/Curriculum/Geometry/AreaOfCircle.shtml Area of a circle,

This illusion has fooled millions around the world. Here is a mathematical explanation of why it works. #shorts Subscribe: https://www.youtube.com/user/MindYourDecisions?sub_confirmation=1 Send me suggestions by email (address at end of many videos). I may not reply but I do consider all ideas! If you purchase through these links, I may be compensated for purchases made on

Can you measure exactly 4 gallons from jugs of 3 gallons and 5 gallons? This problem is featured in the movie “Die Hard With A Vengeance.” Here is the scene from the movie: https://www.youtube.com/watch?v=BVtQNK_ZUJg If you like my videos, you can support me at Patreon: http://www.patreon.com/mindyourdecisions Connect on social media. I update each site when

This is a fun little geometry problem! DataGenetics http://datagenetics.com/blog/november22016/index.html How to solve the shape-shifting triangle Subscribe: https://www.youtube.com/user/MindYourDecisions?sub_confirmation=1 Send me suggestions by email (address in video). I consider all ideas though can’t always reply! Why are some comments before the video is published? Get early access and support the channel on Patreon https://www.patreon.com/mindyourdecisions If you buy

Continuing to talk Infinitesimals, this time with Dr James Grime. See last week’s video: https://youtu.be/BBp0bEczCNg More links & stuff in full description below ↓↓↓ Dividing by Zero: https://youtu.be/BRRolKTlF6Q James Grime: http://singingbanana.com Support us on Patreon: http://www.patreon.com/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 Numberphile is supported by the Mathematical Sciences

If you’ve been watching, you should be able to solve this one! Solutions on the web https://artofproblemsolving.com/wiki/index.php/1984_AIME_Problems/Problem_3 https://web2.0calc.com/questions/another-one-of-my-triangle-questions http://jwilson.coe.uga.edu/MATH7200/ProblemSet4.3.htmlSubscribe: https://www.youtube.com/user/MindYourDecisions?sub_confirmation=1 Send me suggestions by email (address in video). I consider all ideas though can’t always reply! Like many YouTubers I use popular software to prepare my videos. You can search for animation software tutorials on

Catch a more in-depth interview with Ben Sparks on our Numberphile Podcast: https://youtu.be/-tGni9ObJWk Get 10% off at Squarespace: https://www.squarespace.com/numberphile More links & stuff in full description below ↓↓↓ Ben Sparks Twitter: Tweets by SparksMaths More of Ben on Numberphile: Geobra file relevant to this video: https://www.geogebra.org/m/uPTEQnZs Infinity with James Grime: https://youtu.be/elvOZm0d4H0 Numberphile is supported by

Thanks to Arber for the suggestion! If AB = AC = AD and BAC = 50 degrees, what is the measure of BDC? This is a nice geometry problem! #Shorts Subscribe: https://www.youtube.com/user/MindYourDecisions?sub_confirmation=1 Send me suggestions by email (address at end of many videos). I may not reply but I do consider all ideas! If you

An exciting paper about gaps between prime numbers – a step closer to proving the twin prime conjecture. More links & stuff in full description below ↓↓↓ The proof was published by Yitang “Tom” Zhang from the University of New Hampshire. We discuss it in simple terms with Numberphile regulars – physicists Ed Copeland and

This is one of the top posts on Reddit’s Homework Help. #shorts [Grade 9 Math: Puzzle Involving Toothpicks] from HomeworkHelp Subscribe: https://www.youtube.com/user/MindYourDecisions?sub_confirmation=1 Send me suggestions by email (address at end of many videos). I may not reply but I do consider all ideas! If you purchase through these links, I may be compensated for purchases

High school geometry is the only super power you need to solve this puzzle! Subscribe: https://www.youtube.com/user/MindYourDecisions?sub_confirmation=1 Send me suggestions by email (address in video). I consider all ideas though can’t always reply! Like many YouTubers I use popular software to prepare my videos. You can search for animation software tutorials on YouTube to learn how

What is the distance between towns A and B? Learn how to solve this mysterious problem–a similar problem was a question to quality for the US Math Olympiad! Sources Qbyte Nick’s mathematical puzzle, number 75 http://www.qbyte.org/puzzles/p075s.html AoPS 2017 AMC 10A, problem 9 (US Olympiad qualifying test) https://artofproblemsolving.com/wiki/index.php/2017_AMC_10A_Problems/Problem_9 Subscribe: https://www.youtube.com/user/MindYourDecisions?sub_confirmation=1 Send me suggestions by email (address

Simpsons Book: http://amzn.to/1fKe4Yo — Main Fermat Theorem video: http://youtu.be/qiNcEguuFSA — Water Ballons: http://youtu.be/nacPIOb68Ws More links & stuff in full description below ↓↓↓ Author Simon Singh on Fermat’s Last Theorem in popular culture, especially The Simpsons. Also mentioning Al Jean and David X Cohen. 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

What kind of magic is this?! #shorts Subscribe: https://www.youtube.com/user/MindYourDecisions?sub_confirmation=1 Send me suggestions by email (address at end of many videos). I may not reply but I do consider all ideas!

Complex patterns seen in nature can be generated from relatively simple equations and a golden angle. Song credits Song: Sunflower (Spider-Man: Into the Spider-Verse) Artist: Post Malone, Swae Lee Album: Sunflower References https://en.wikipedia.org/wiki/Fibonacci_number#Nature https://en.wikipedia.org/wiki/Fermat%27s_spiral Fan Wen, CC-BY-SA-4.0 https://commons.wikimedia.org/wiki/File:Helianthus_annuus_-_flower_view_01.jpg Sunflower Javascript code https://www.codeproject.com/Articles/1221341/The-Vogel-Spiral-Phenomenon Sunflower Desmos https://www.desmos.com/calculator/vgh92uz9kl

A card trick which involves some little fibs. More links & stuff in full description below ↓↓↓ Extra footage at: https://youtu.be/cw63McIDWj8 ‘Mathemagician’ Colm Mulcahy is Professor of Mathematics at Spelman College. Colm: http://cardcolm.org More cards and suffering videos: http://bit.ly/Cards_Shuffling Support us on Patreon: http://www.patreon.com/numberphile NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe:

Here’s a creative way to send warm wishes, perfect for Valentine’s Day, or for that time you just called to say I love you. Based on a widely circulated graphic Song credits Song: I Will Always Love You Artist: Whitney Houston https://youtu.be/3JWTaaS7LdU

The slide method of multiplication is a groovy way to multiply numbers 😉 #shorts Song credits Song: Electric Boogie Artist: Marcia Griffiths A longer video: https://youtu.be/iZG25uBwU7M Article https://towardsdatascience.com/four-multiplication-methods-you-might-not-have-learned-in-school-fac2211a24b7 Subscribe: https://www.youtube.com/user/MindYourDecisions?sub_confirmation=1 Send me suggestions by email (address at end of many videos). I may not reply but I do consider all ideas!

This is a visual way to understand Brahmagupta’s quadratic formula. #Shorts Song Credits Song: Kajra Re Singers: Alisha Chinai, Shankar Mahadevan, Javed Ali Music: Shankar-Ehsaan-Loy Lyrics: Gulzar Lucas Vieira animation https://1ucasvb.tumblr.com/post/42739093986/completing-the-square https://en.wikipedia.org/wiki/File:Completing_the_square.gif Cornell Mathematics professor David W. Henderson: Geometric Solutions of Quadratic and Cubic Equations. https://pi.math.cornell.edu/~dwh/papers/geomsolu/geomsolu.html But Why? Intuitive Mathematics (Archived) https://web.archive.org/web/20160821053459/https://sites.google.com/site/butwhymath/algebra/the-quadratic-formula MindYourDecisions posts The

What’s the best way to subtract numbers? The answer: any way that works. Here are 4 methods that can help you tackle subtraction problems easily. If you like my videos, you can support me at Patreon: http://www.patreon.com/mindyourdecisions Connect on social media. I update each site when I have a new video or blog post, so

The imaginary number i is equal to the square root of negative 1. But if you raise i to the power of i, you get a very real number, equal to about one fifth. This is just amazing! #Shorts Song credits Song: I’m Real (Murder Remix) Artist: Jennifer Lopez · Ja Rule Subscribe: https://www.youtube.com/user/MindYourDecisions?sub_confirmation=1 Send

Yes, it’s a cat video on YouTube. More videos with Tadashi Tokieda at: http://bit.ly/tadashi_vids Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://bit.ly/MSRINumberphile We are also supported by Science Sandbox, a Simons Foundation initiative dedicated to engaging everyone with the process of science. NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile

There doesn’t seem to be enough information to solve this, but the answer works out magically. Thanks to all patrons! Special thanks this month to: Richard Ohnemus, Michael Anvari, Shrihari Puranik, Kyle. I also credit patrons Pradeep Sekar and Nestor Abad for finding a typo in my original video–thanks! Maths By Amiya : Perpendicular Chords

The Putnam Exam has legendary difficulty: the average (median) score is usually 1 out of a possible 120 points. No calculators allowed though, and you have to prove everything very carefully. This geometry problem appeared on one of the tests, and there is a neat way to solve it! Thanks to all patrons! Special thanks

In 1911, Srinivasa Ramanujan posed this problem involving an infinite nested radical (a never-ending expression that has square roots inside of square roots). Can you figure out how to simplify the equation? The video presents an intuitive solution. Technically it is necessary to prove the equation has a solution (the nested radical converges) because crazy

The 17th annual Brazilian Olympiad featured an incredibly tricky logic puzzle that went viral on social media. Thanks to Guilherme who suggested and translated the problem from Portuguese to English! Pinocchio problem discussions https://ultimosegundo-ig-com-br.translate.goog/brasil/2022-06-08/questao-obmep-pinoquio-viraliza-personagem-mentiu.html?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-US&_x_tr_pto=wapp Students make memes involving Pinocchio and leak reactions A question about Pinocchio. What is your opinion about alternative C? from askphilosophy

Asha and Lata are two sisters with mathematically interesting ages. If you write Lata’s age after Asha’s, you get a 4 digit perfect square. Amazingly the same thing happens if you repeat the exercise in 11 years. How old are Asha and Lata currently? 0:00 Problem 1:09 Difference of squares 2:25 Solution Subscribe: https://www.youtube.com/user/MindYourDecisions?sub_confirmation=1 Send

Three squares are formed on the three sides of an equilateral triangle. Each square has a side length equal to 1. What is the radius of the circle that circumscribes the squares? Thanks to Royce for the suggestion! This comes from the 2021 Colin Doyle Mathematics Competition in Australia. Subscribe: https://www.youtube.com/user/MindYourDecisions?sub_confirmation=1 Send me suggestions by

This is a fun algebra problem. Can you figure it out? Thanks to Aslah from India for the suggestion! Subscribe: https://www.youtube.com/user/MindYourDecisions?sub_confirmation=1 Send me suggestions by email (address at end of many videos). I may not reply but I do consider all ideas! If you buy from the links below I may receive a commission for

Tadashi’s back (for the final video in this mini series) demonstrating the Kendama and some angular momentum. More links & stuff in full description below ↓↓↓ Tadashi Tokieda will be back on Numberphile soon. Here’s a playlist of his videos: http://bit.ly/tadashi_vids Kendama also known as bilboquet or boliche or bolero. Video by Brady Haran and