Math

Zandra Vinegar demonstrates a card game and how she likes to visualise a proof associated with it (involving a hedgehog). More links & stuff in full description below ↓↓↓ More videos involving cards: http://bit.ly/Cards_Shuffling Buy a deck of Numberphile playing cards: http://bit.ly/NumberphileCards Zandra is director of mathematics at Brilliant. Numberphile is supported by the Mathematical

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

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

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).

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. #shorts #math #maths #mathematics Based on a widely circulated graphic Song credits Song: I Will Always Love You Artist: Whitney Houston https://youtu.be/3JWTaaS7LdU

Trigonometry from a circle #shorts Animation based on https://math.stackexchange.com/questions/733754/visually-stunning-math-concepts-which-are-easy-to-explain https://www.khanacademy.org/computer-programming/circle/4597064320155648 Song credit Post Malone – Circles https://youtu.be/wXhTHyIgQ_U #math #maths #mathematics

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://www.tumblr.com/1ucasvb/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

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 #math #maths #mathematics Song credits Song: I’m Real (Murder Remix) Artist: Jennifer Lopez · Ja Rule

The anti-twister mechanism is mesmerizing. #shorts Belt Trick, JasonHise CC0 (public domain dedication) https://commons.wikimedia.org/wiki/File:Belt_Trick.gif https://en.wikipedia.org/wiki/Plate_trick https://en.wikipedia.org/wiki/Anti-twister_mechanism JasonHise Youtube video belt trick animation Robin Saunders (https://mathoverflow.net/users/4336/robin-saunders), Proofs without words, URL (version: 2016-12-29): https://mathoverflow.net/q/258356 proofs without words mathoverflow https://mathoverflow.net/questions/8846/proofs-without-words Let’s Twist Again – Chubby Checker https://youtu.be/Frw7U5X8dhg

Only a genius can solve this. Reference https://en.wikipedia.org/wiki/Missing_square_puzzle#Similar_puzzles 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 earn from qualifying purchases.

The secret to pizza’s name origin is mathematics, or so the legend goes… #Shorts Images https://commons.wikimedia.org/wiki/File:Pizza_Tikka.JPG#filelinks https://commons.wikimedia.org/wiki/File:Volume_of_a_pizza.svg 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 sales. (As

This equation has a secret meaning. #shorts #math #maths #mathematics 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 sales. (As an Amazon Associate I earn from qualifying

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

What is the fewest number of moves which can solve any Rubik’s Cube? It’s God’s Number. More links & stuff in full description below ↓↓↓ See our full series of Rubik’s Cube videos at: http://www.youtube.com/playlist?list=PLt5AfwLFPxWJNAdHv8TUCOmj7iKqyHZeg This video features Matt Parker, James Grime and Katie Steckles. More about Matt’s record attempt and those solving helpers at

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

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

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

Tadashi Tokieda is back, this time with Moiré Patterns. More with Tadashi: http://bit.ly/tadashi_vids More links & stuff in full description below ↓↓↓ Out thanks also to our Patreon supporters, especially: Jeff Straathof Ken Baron Today I Found Out Roman Urbanovski Joanna & Mehdi Christian Cooper Peggy Y John Buchan Bill Shillito Andrzej ‘Yester’ Fiedukowicz Ripta

Check out Brilliant (and get 20% off their premium service): https://brilliant.org/numberphile (sponsor) More links & stuff in full description below ↓↓↓ This video features Dr James Grime – http://singingbanana.com Catch James in a recent Objectivity video with Brady: https://youtu.be/B4gzt8v401Q More James Grime videos on Numberphile: http://bit.ly/grimevideos More videos on Perfect Numbers: http://bit.ly/PerfectNumbers Triperfect T-Shirt… US:

The tin asks: “What’s the biggest number you can make?” Sounds like a challenge! More links & stuff in full description below ↓↓↓ Ebay link: AUCTION OVER Fate of the spaghetti (not pleasant): http://youtu.be/tsbHenS5CUs Brady reads the whole number: http://youtu.be/uN2U9PQUGB0 The people at Heinz had nothing to do with his video – I just saw

I didn’t solve this problem myself, but I felt better when I learned WolframAlpha couldn’t solve it either! But there is a way to solve it using careful mathematical reasoning. Thanks to Luka Khizambareli from Georgia for suggesting this and sending its solution! (*And you have to be really careful–I thank Aniket Gupta and Ryan

Thanks to Nikhil Patro for suggesting this problem! What is the sum of the corner angles in a regular 5-sided star? What if the star is not regular, what is the sum of corner angles then? There are some neat ways to solve this. I present my favorite methods. Thanks to all patrons! Special thanks

This is one of the harder calculus problems I’ve come across. Thanks to Nguyen Huynh Khoi from Vietnam for the suggestion! Solution from https://khoahoc.vietjack.com/question/84520/cho-ham-so-f-x-co-dao-ham-va-lien-tuc-tren-doan-4-8 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

A short preview of some stuff we’re filming for the new numberphile channel. Please subscribe. More links & stuff in full description below ↓↓↓ You can also follow us on Twitter and Facebook. 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 Patreon: http://www.patreon.com/numberphile Brady’s videos subreddit: http://www.reddit.com/r/BradyHaran/

Ultimate Tic Tac Toe, also known as Nine Board Tic Tac Toe, is an interesting variation on the classic game. The board is composed of a 3×3 grid of Big Squares. Inside of each Big Square is another 3×3 grid, so there are 9 Small Squares inside each Big Square. The position you play in

Thanks to http://www.audible.com/numberphile More links & stuff in full description below ↓↓↓ Here’s the paper Dr Grime discusses: http://arxiv.org/pdf/1101.4470.pdf OEIS: http://oeis.org Dr Grime: http://singingbanana.com 1729: http://youtu.be/LzjaDKVC4iY 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 Patreon: http://www.patreon.com/numberphile Brady’s videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady’s latest videos across all channels: http://www.bradyharanblog.com/

Partitions are a major part of the Ramanujan story (as shown in the new film about his life) – but what are they? More links & stuff in full description below ↓↓↓ Dr James Grime tackles the issue. Extra footage: https://youtu.be/ksHqQW94KlE More James Grime on Numberphile: http://bit.ly/grimevideos Young Tableau: https://youtu.be/vgZhrEs4tuk Shuffling: https://youtu.be/AxJubaijQbI James discusses Good

We’re exploring the world of Chicken Nuggets and Frobenius numbers. 43 has long been a special number in the world of McNugget mathematics, but 11 is also important! More links & stuff in full description below ↓↓↓ This video features Dr James Grime – https://twitter.com/jamesgrime NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile

Cliff Stoll is passionate about Klein Bottles. More links & stuff in full description below ↓↓↓ Don’t miss the video about how he uses a robot to store 1,000 bottles UNDER his house… https://youtu.be/-k3mVnRlQLU More videos on Klein Bottles: http://bit.ly/KleinBottles ACME Klein Bottles: http://bit.ly/ACME_Klein Support us on Patreon: http://www.patreon.com/numberphile NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook:

Previous video sets this up: https://youtu.be/-ruC5A9EzzE Extra on concatenation: https://youtu.be/LgnoYsbI7Uc More links & stuff in full description below ↓↓↓ We appreciate any help on Patreon – it lets us make a few more and better videos: http://www.patreon.com/numberphile Matt Parker on Numberphile playlist: http://bit.ly/Matt_Videos Matt’s channel: http://bit.ly/StandUpMaths Parker Square T-Shirt: http://bit.ly/ParkerSquareTshirt Inder J. Taneja papers… Single

There’s an incredible method to calculate the square root of a perfect square in your head. MIT Entrace Exam Arithmetic 1876 WayBackMachine: https://web.archive.org/web/20190404065722/https://libraries.mit.edu/archives/exhibits/exam-entrance1876/arithmetic1876.html Square root method Burning Math http://burningmath.blogspot.com/2013/09/extracting-square-roots-mentally-at.html Square root method proof Math StackExchange https://math.stackexchange.com/questions/2069192/why-does-this-method-for-finding-the-square-root-of-a-number-work Square root method Grey Matters http://gmmentalgym.blogspot.com/2010/10/root-extractions.html#rtsqr Hindu-Arabic numeral system https://en.wikipedia.org/wiki/Hindu%E2%80%93Arabic_numeral_system Laplace quote https://en.wikipedia.org/wiki/History_of_the_Hindu%E2%80%93Arabic_numeral_system#Impact_on_arithmetic Laplace picture https://en.wikipedia.org/wiki/File:Laplace,_Pierre-Simon,_marquis_de.jpg Abacus picture https://en.wikipedia.org/wiki/Abacus#/media/File:Houghton_Typ_520.03.736_-_Margarita_philosophica.jpg

Thanks to Matej for suggesting this problem! This is from a math competition for 14 year olds in Croatia. While the problem is challenging, “you should be able to solve it” using elementary geometry and algebra. Can you figure it out? 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

In the past 5 months, all of Mark Rober’s videos have been #1 trending on YouTube. He put his success in perspective by analogy to a statistical experiment of flipping coins. Some people pointed out the calculation wasn’t quite correct, so I thought it would be a great topic for a video. Mark Rober tweet

In 1880, James Garfield contributed a new proof of geometry’s most famous right triangle theorem. Mathematical treasure: Garfield’s proof https://www.maa.org/press/periodicals/convergence/mathematical-treasure-james-a-garfields-proof-of-the-pythagorean-theorem Engraved portrait https://en.wikipedia.org/wiki/File:GARFIELD,_James_A-President_(BEP_engraved_portrait).jpg Gizmodo post https://gizmodo.com/james-garfield-was-the-only-u-s-president-to-prove-a-m-1037750658 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,

There are 25 mechanical horses and a single racetrack. Each horse completes the track in a pre-programmed time, and the horses all have different finishing times, unknown to you. You can race 5 horses at a time. After a race is over, you get a printout with the order the horses finished, but not the

This is a standard question to prepare for India’s famously challenging JEE Advanced exam. Here is one way to solve the question quickly. Thanks to Avinash for the suggestion! Special thanks this month to: Daniel Lewis, Robert Zarnke, Kyle, Mike Robertson. Thanks to all supporters on Patreon! http://www.patreon.com/mindyourdecisions Problem credit to David Altizio (section 3

Can you solve this problem that stumped many advanced math students? References https://io9.gizmodo.com/ready-this-simple-puzzle-once-stumped-96-of-americas-1698814691 https://www.theguardian.com/science/2017/jun/05/did-you-solve-it-are-you-in-the-smartest-10-per-cent https://www.mapleprimes.com/posts/206713-Puzzle-Or-A-Simple-Exercise http://puzzles.nigelcoldwell.co.uk/seventytwo.htm https://timss.bc.edu/timss1995i/TIMSSPDF/C_full.pdf 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

A tetrahedron and a pyramid have edges of equal length. If they are glued together on a triangular face with the vertices aligned, how many faces will the new shape have? This question is trickier than it looks! It stumped the test-makers. Playable demonstration: Steve Phelps has made a Geogebra worksheet that you can try

Why five-sided figures pose a problem from Professor John Hunton – and a bit about the importance of Penrose Tiling. More links & stuff in full description below ↓↓↓ Professor Hunton works at the University of Leicester. 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 Patreon: http://www.patreon.com/numberphile

Colin Rizzio became famous after finding a mistake on the S.A.T. Sources https://www.deseret.com/1997/2/7/19293720/math-question-on-the-sat-didn-t-sit-well https://people.com/archive/flunking-the-tester-vol-47-no-7/ https://www.chicagotribune.com/news/ct-xpm-1997-02-07-9702070268-story.html https://www.dartmouth.edu/~chance/chance_news/recent_news/chance_news_6.03.html 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

Thanks to Dhrubajyoti for the suggestion! A similar problem was asked to class 10 students in India (Q33 from SMO junior 2016). I admit that this one stumped me. Can you figure it out? Solution presented: post by Thomas Hill on Quora https://www.quora.com/In-a-triangle-ABC-AB-AC-angle-BAC-100-circ-Let-D-be-a-point-such-that-B-is-an-interior-point-of-AD-and-AD-BC-How-can-you-find-angle-BDC Other solutions http://jwilson.coe.uga.edu/EMT668/EMT668.Folders.F97/Rapley/EMT725/100deg/100deg.html http://jwilson.coe.uga.edu/EMT668/EMAT6680.F99/Wise/essay1/essay1.htm https://gogeometry.blogspot.com/2011/11/problem-685-isosceles-triangle-100-40.html pic.twitter.com/NNSkNX2I5w — José Luis da Vila (@jldavilaa01)

Why number 1 is the “leading digit” more often than you may expect? More links & stuff in full description below ↓↓↓ See us test the law using Brady’s YouTube viewing figures at: http://youtu.be/VbtNy54ya9A Blog about all this at: http://bit.ly/benfordslaw Brown Paper from this video on ebay: http://bit.ly/brownpapers This video features Steve Mould: http://www.stevemould.com/ and

Thanks to Ryan from India for the suggestion! Two candles of equal height but different thickness are lit. The first burns off in 8 hours and the second in 10 hours. When will the first candle be half the height of the second? Subscribe: https://www.youtube.com/user/MindYourDecisions?sub_confirmation=1 Send me suggestions by email (address at end of many

A compilation of Numberphile sound checks – Brady typically asks “what did you have for breakfast” so he can monitor audio levels. More links & stuff in full description below ↓↓↓ Previous sound checks with scientists here: http://youtu.be/4anqDfgQneA 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

Thanks to Amit from India for the suggestion! A circle is tangent on the exterior of a side of a triangle and tangent to the lines through the other two sides. The tangent side length 7, and the other side lengths are 8 and 9. What is the radius of the circle? 0:00 Problem 1:22