A New Discovery about Dodecahedrons – Numberphile

From Numberphile. Featuring Jayadev Athreya on a new discovery about platonic solids, in particular dodecahedra… Extra footage: https://youtu.be/hpNPPqm1EMc Yellow Brick Road Sticker and T-Shirts: https://teespring.com/yellow-brick-numberphile More links & stuff in full description below ↓↓↓ PAPER: A Trajectory from a Vertex to Itself on the Dodecahedron: https://arxiv.org/abs/1802.00811 More great resources on the project: http://userhome.brooklyn.cuny.edu/aulicino/dodecahedron/ More on…

Visiting every Platform Zero in the UK in 24 hours.

From Standup Mathematician. Check out Geoff’s video from the same day! https://youtu.be/TTHOyTypNs8 This is the Geoff Marshall video about Oyster zones and four-bits. https://www.youtube.com/watch?v=m0xDbHj4K_E My previous video with Geoff: Is the London Underground knotted? https://www.youtube.com/watch?v=b9OEuhdM6t8 Listen to my podcast with Bec Hill: A Problem Squared http://aproblemsquared.libsyn.com/ Thanks to everyone on Patreon who bought me a…

How to keep an open secret with mathematics.

From Standup Mathematician. This video is sponsored by ExpressVPN. Go to https://expressvpn.com/standupmaths and find out how you can get 3 months free. Shamir’s Secret Sharing on wikipedia. https://en.wikipedia.org/wiki/Shamir%27s_Secret_Sharing I made the animated parabola in GeoGebra with help from my mate Ben Sparks. Here is the GeoGebra5 file if you’d like to have a play: https://www.dropbox.com/s/zydcy38eedahbfu/quadratic%20from%20SUMS%20video.ggb?dl=0…

Synchronising Metronomes in a Spreadsheet

From Standup Mathematician. The Ri Lectures are on BBC4 and iPlayer now: https://www.bbc.co.uk/programmes/b00pmbqq They’ll be on the Ri channel a month later: https://www.youtube.com/user/TheRoyalInstitution Thanks to Jane Street, pateron supports and all viewers! Here’s to another year of mathematics videos. https://www.janestreet.com https://www.patreon.com/standupmaths Pre-order the US edition of my math book Humble Pi. Cheers! http://bit.ly/humblepi Download the…

Counting Outtakes (from our Pi Million video) – Numberphile

From Numberphile. These are outtakes from the main video at: https://youtu.be/__UlMppZZgs Who’s Who based on the main video: https://www.numberphile.com/pi-million More links & stuff in full description below ↓↓↓ 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…

Fermat’s Christmas theorem: Visualising the hidden circle in pi/4 = 1-1/3+1/5-1/7+…

From Mathologer. NEW (Christmas 2019). Two ways to support Mathologer Mathologer Patreon: https://www.patreon.com/mathologer Mathologer PayPal: paypal.me/mathologer (see the Patreon page for details) Leibniz’s formula pi/4 = 1-1/3+1/5-1/7+… is one of the most iconic pi formulas. It is also one of the most surprising when you first encounter it. Why? Well, usually when we see pi…

Pi Million Subscribers – Numberphile

From Numberphile. Outtakes: https://youtu.be/Wrj1Kl6CHIQ Who’s Who in the video: https://www.numberphile.com/pi-million More links & stuff in full description below ↓↓↓ Patreon: http://www.patreon.com/numberphile Numberphile T-Shirts: https://teespring.com/stores/numberphile 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.…

A Breakthrough in Graph Theory – Numberphile

From Numberphile. A counterexample to Hedetniemi’s conjecture – featuring Erica Klarreich. Get 3 months of Audible for just $6.95 a month. Visit https://www.audible.com/numberphile or text "numberphile" to 500 500 More links & stuff in full description below ↓↓↓ Read Erica Klarreich’s Quanta article on this subject: https://www.quantamagazine.org/mathematician-disproves-hedetniemis-graph-theory-conjecture-20190617/ And visit her website: http://www.ericaklarreich.com/ Yaroslav Shitov’s breakthrough…

Bayes theorem, and making probability intuitive

From 3Blue1Brown. Perhaps the most important formula in probability. Brought to you by you: http://3b1b.co/bayes-thanks The quick proof: https://youtu.be/U_85TaXbeIo Interactive made by Reddit user Thoggalluth: https://nskobelevs.github.io/p5js/BayesTheorem/ The study with Steve: https://science.sciencemag.org/content/185/4157/1124 http://www.its.caltech.edu/~camerer/Ec101/JudgementUncertainty.pdf You can read more about Kahneman and Tversky’s work in Thinking Fast and Slow, or in one of my favorite books, The Undoing…

A Fascinating Thing about Fractions – Numberphile

From Numberphile. The Dynamical Uniform Boundedness Conjecture with Dr Holly Krieger. Extra from this interview: https://youtu.be/v4LWFzTyhpU Dr Krieger on the Numberphile Podcast: https://youtu.be/QmfQQzjpdpM More links & stuff in full description below ↓↓↓ More videos with Holly: http://bit.ly/HollyKrieger Holly’s website: https://www.dpmms.cam.ac.uk/~hk439/ She is the Corfield Lecturer at the University of Cambridge as well as a Fellow…

Approximating Irrational Numbers (Duffin-Schaeffer Conjecture) – Numberphile

From Numberphile. James Maynard recently co-authored a proof of the Duffin-Schaeffer Conjecture. More links & stuff in full description below ↓↓↓ More James Maynard on Numberphile: http://bit.ly/JamesMaynard On the Duffin-Schaeffer conjecture – by Dimitris Koukoulopoulos and James Maynard – https://arxiv.org/abs/1907.04593 Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://bit.ly/MSRINumberphile We are also supported…

Secret of row 10: a new visual key to ancient Pascalian puzzles

From Mathologer. NEW (Christmas 2019). Two ways to support Mathologer Mathologer Patreon: https://www.patreon.com/mathologer Mathologer PayPal: paypal.me/mathologer (see the Patreon page for details) Today’s video is about a recent chance discovery (2002) that provides a new beautiful visual key to some hidden self-similar patterns in Pascal’s triangle and some naturally occurring patterns on snail shells. Featuring,…

Taking a Turkey’s Temperature – Numberphile

From Numberphile. A Thanksgiving special featuring Cliff Stoll. Check out Brilliant (get 20% off their premium service): https://brilliant.org/numberphile (sponsor) More links & stuff in full description below ↓↓↓ More videos with Cliff: http://bit.ly/Cliff_Videos 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…

The Archimedes Number – Numberphile

From Numberphile. Archimedes’s famous Cattle Problem had a truly epic solution. Featuring Alex Bellos. More links & stuff in full description below ↓↓↓ Alex Bellos: http://www.alexbellos.com More Alex videos on Numberphile: http://bit.ly/Bellos_Playlist So You Think You’ve Got Problems by Alex Bellos Amazon: https://amzn.to/2KR9Get Signed copies via MathsGear:http://bit.ly/BellosProblemsSigned More Alex books: https://amzn.to/2KQTc5Y The Cattle Problem by…

Q&A with Grant (3blue1brown), windy walk edition

From 3Blue1Brown. To mark 2^21 subscribers, in a style totally not stolen from Veritasium. Ties, shirts, etc. http://3b1b.co/store Links to things that came up below. The Bit Player https://thebitplayer.com/ The Idea Factory https://amazon.com/dp/0143122797 The Information, A History, A Theory, A Flood https://amazon.com/dp/1400096235 You can read about Lorenz in "Chaos", also by James Gleick https://amazon.com/dp/0143113453 Anthropocene…

Darts in Higher Dimensions (with 3blue1brown) – Numberphile

From Numberphile. Grant Sanderson from 3Blue1Brown joins us to discuss an intriguing puzzle with a shrinking bullseye. More links & stuff in full description below ↓↓↓ 3Blue1Brown: https://www.youtube.com/channel/UCYO_jab_esuFRV4b17AJtAw Grant Sanderson on the Numberphile podcast: https://youtu.be/A0RH93XvSyU Greg Egan’s tweet which started it all: https://twitter.com/gregegansf/status/1160461092973211648 Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://bit.ly/MSRINumberphile We…

Planar Graphs – Numberphile

From Numberphile. Featuring Professor Maria Chudnovsky from Princeton University – see part two about her work on Perfect Graphs – https://youtu.be/C4Zr4cOVm9g More links & stuff in full description below ↓↓↓ Correction at 13:58 – remove the word "not". Professor Chudnovsky’s webpage: https://web.math.princeton.edu/~mchudnov/ Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://bit.ly/MSRINumberphile We are…

The unbelievable solution to the 100 prisoner puzzle.

From Standup Mathematician. Order Alex Bellos’s book now and get a limited-edition ‘Matt verified’ copy. https://mathsgear.co.uk/collections/books/products/signed-copy-of-so-you-think-youve-got-problems-by-alex-bellos-pre-order Thanks to Matt Scroggs and the Chalkdust folks for helping organise the volunteers and the maths. http://chalkdustmagazine.com/ Cheers to the Ri for letting us film in their building. https://www.rigb.org/ We have free Think Maths work sheets for any teachers…

Power sum MASTER CLASS: How to sum quadrillions of powers … by hand! (Euler-Maclaurin formula)

From Mathologer. NEW (Christmas 2019). Two ways to support Mathologer Mathologer Patreon: https://www.patreon.com/mathologer Mathologer PayPal: paypal.me/mathologer (see the Patreon page for details) The longest Mathologer video ever! 50 minutes, will this work? Let’s see before I get really serious about that Kurosawa length Galois theory video 🙂 Today’s video is another self-contained story of mathematical…

The Forgotten Flexagon – Numberphile

From Numberphile. Matt Parker discusses the forgotten flexagon… Extra footage at: https://youtu.be/_UXyRug_6qE More links & stuff in full description below ↓↓↓ More Matt Parker (video playlist): http://bit.ly/Matt_Videos Catch Matt on the Numberphile podcast too: https://www.numberphile.com/podcast Vihart’s famed flexagon video: https://youtu.be/VIVIegSt81k Matt’s own website, with links to all his stuff, is at: http://standupmaths.com Order a Parker…

Why do prime numbers make these spirals?

From 3Blue1Brown. A story of mathematical play. Home page: https://www.3blue1brown.com Brought to you by you: http://3b1b.co/spiral-thanks Based on this Math Stack Exchange post: https://math.stackexchange.com/questions/885879/meaning-of-rays-in-polar-plot-of-prime-numbers/885894 Want to learn more about rational approximations? See this Mathologer video. https://youtu.be/CaasbfdJdJg Also, if you haven’t heard of Ulam Spirals, you may enjoy this Numberphile video: https://youtu.be/iFuR97YcSLM Dirichlet’s paper: https://arxiv.org/pdf/0808.1408.pdf Important…

Where Does River Water Go? – Numberphile

From Numberphile. Tom Crawford on the mathematics of where river water goes when it hits the sea. See all three Navier-Stokes videos at: http://bit.ly/NavierPlaylist More links & stuff in full description below ↓↓↓ Tom Crawford works at the University of Oxford… more at: https://tomrocksmaths.com Playlist: http://bit.ly/NavierPlaylist Part 1 (Navier-Stokes): https://youtu.be/ERBVFcutl3M Part 2 (Reynolds Number): https://youtu.be/wtIhVwPruwY…

The Girl with the Hyperbolic Helicoid Tattoo – Numberphile

From Numberphile. Sabetta Matsumoto explains her mathematical tattoo. Check out Brilliant (get 20% off their premium service): https://brilliant.org/numberphile (sponsor) More links & stuff in full description below ↓↓↓ Sabetta’s Twitter: https://twitter.com/sabetta_ And her group’s webpage at Georgia Tech: http://matsumoto.gatech.edu Hyperbolic Sports: https://youtu.be/u6Got0X41pY Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://bit.ly/MSRINumberphile We are…

3 as the sum of the 3 cubes – Numberphile

From Numberphile. A problem posed in 1953 is finally cracked by a network of computers in seven hours. More links & stuff in full description below ↓↓↓ Numberphile T-Shirts and stuff: https://teespring.com/stores/numberphile See our playlist previous videos on this area of research: http://bit.ly/SumOfCubes Andrew Booker: http://www.bristol.ac.uk/maths/people/andrew-r-booker/overview.html Andrew Sutherland: https://math.mit.edu/directory/profile.php?pid=272 Charity Engine: https://www.charityengine.com Numberphile is supported…

500 years of NOT teaching THE CUBIC FORMULA. What is it they think you can’t handle?

From Mathologer. NEW (Christmas 2019). Two ways to support Mathologer Mathologer Patreon: https://www.patreon.com/mathologer Mathologer PayPal: paypal.me/mathologer (see the Patreon page for details) Why is it that, unlike with the quadratic formula, nobody teaches the cubic formula? After all, they do lots of polynomial torturing in schools and the discovery of the cubic formula is considered…

Can we film a stroboscopic helicopter?

From Standup Mathematician. Do check out Captain Disillusion’s video "Quick D: Static Helicopter Blades". http://youtube.com/watch?v=mPHsRcI5LLQ Thanks to Polina for flying the helicopter all day. We hired the helicopter from VVB Aviation who were awesome. https://www.vvb-aviation.com/ My old video about the rolling shutter effect "Rolling Shutter Explained on the Cheap". https://www.youtube.com/watch?v=nP1elMR5qjc Footage of stage coach from…

How to mathematically hang a picture (badly).

From Standup Mathematician. Watch Jade’s original video on Tom Scott’s channel "How Knot To Hang A Painting". https://www.youtube.com/watch?v=-eVd2Ugk9BU Jade’s channel is over here: https://www.youtube.com/channel/UCSIvk78tK2TiviLQn4fSHaw/ And here’s a whole bunch of Steve Mould for you to subscribe to: https://www.youtube.com/user/steventhebrave Send in your solutions for hanging a picture badly! matt+picturehanging@standupmaths.com We have Think Maths resources for any…

Eclipses can be approximated the same way as π. [ONE TAKE!]

From Standup Mathematician. Huge thanks to Destin for the chat and footage. Check out their video! https://www.youtube.com/watch?v=Nk0MRxXqo9s I was at the 2 July 2019 total solar eclipse in Argentina: 30°41’07.6"S 68°28’50.2"W My old video "Solar Eclipse Maths and the Cosmic Coincidence of the Saros Cycle" https://www.youtube.com/watch?v=ieUvzy6rnnw We’ve made some Think Maths teaching resources on approximating…

Are odd-numbered mobius-loop cogs possible?

From Standup Mathematician. More details about WiSE and WiTT https://www.janestreet.com/witt-wise-email.html Apply for WiSE: Women in STEM Education https://www.janestreet.com/apply-wise/ Apply for WiTT: Women in Trading and Technology https://www.janestreet.com/apply-witt/ Here is the reddit post I first saw: "I designed an Intertwined Mobius strip of Gears. 60parts, 285 balls" https://www.reddit.com/r/3Dprinting/comments/blmqbd/i_designed_an_intertwined_mobius_strip_of_gears/ Just the gif: https://i.redd.it/wi38hd95ebb11.gif Thanks to ElminsCosplay for…

Understanding e to the i pi in 3.14 minutes | DE5

From 3Blue1Brown. Euler’s formula intuition from relating velocities to positions. Home page: https://www.3blue1brown.com Yeah yeah, the runtime is 4:08, but it’s 3.14 minutes to the conclusion. Not familiar with the calculus referenced in this video? Try taking a look at this one: https://youtu.be/m2MIpDrF7Es Another perspective on this formula, from Mathologer: https://youtu.be/-dhHrg-KbJ0 Another perspective from this…

But what is a Fourier series? From heat flow to circle drawings | DE4

From 3Blue1Brown. Fourier series, from the heat equation to sines to cycles. Home page: https://www.3blue1brown.com Brought to you by you: http://3b1b.co/de4thanks 12 minutes of pure Fourier series animations: https://youtu.be/-qgreAUpPwM Some viewers made apps that create circle animations for your own drawing. Check them out! https://www.reddit.com/r/3Blue1Brown/comments/cvpdn7/make_your_own_fourier_circle_drawings/ https://isaacvr.github.io/coding/fourier_transform/ Thanks to Stuart@Biocinematics for the one-line sketch of Fourier…

Solving the heat equation | DE3

From 3Blue1Brown. Boundary conditions, and setup for how Fourier series are useful. Home page: https://www.3blue1brown.com Brought to you by you: http://3b1b.co/de3thanks More about the heat equation, with a derivation in terms of slope corresponding to heat flow from MIT OCW: https://ocw.mit.edu/courses/mathematics/18-303-linear-partial-differential-equations-fall-2006/lecture-notes/heateqni.pdf If you want to learn more about Fourier series, here are a few great…

What’s the story with log(1 + 2 + 3)?

From Standup Mathematician. This is my deep dive into the log(1 + 2 + 3) = log(1) + log(2) + log(3) log troll meme. I’m not going to link to any of the online discussions incase I accidentally encourage brigading. If you want to join in constructively, you can google them. Huge thanks to Jane…

Calculator Number Trick: rectangle patterns

From Standup Mathematician. Here is the original Fermat’s Library tweet. https://twitter.com/fermatslibrary/status/1052544515632959488 If you want 100% renewable energy: check out Bulb! https://bulb.co.uk/refer/mattp5449 We make Think Maths teaching resources to go with Stand-up Maths videos. For this one we have a cheat sheet to an algebraic proof. http://think-maths.co.uk/standupmaths-videos?yt-calculator-rectangles#calculator-rectangles Many people are asking for the gif. It’s available…

Recursive PowerPoint Presentations [Gone Fractal!]

From Standup Mathematician. Thanks to Steve Mould for filming with me. Check out his "How viruses self assemble" video. https://youtu.be/3X6qEE2fHvE We have since made the t-shirt I’m wearing available for purchase: https://fotsn.teemill.com/collection/recursive-t-shirt/ We have some free teaching resources for anyone who wants to make a large collaborative fractal! As well as complicated 3D ones we’ve…

But what is a partial differential equation? | DE2

From 3Blue1Brown. The heat equation, as an introductory PDE. Home page: https://www.3blue1brown.com Brought to you by you: http://3b1b.co/de2thanks Infinite powers, by Steven Strogatz: https://www.amazon.com/Infinite-Powers-Calculus-Reveals-Universe/dp/1328879984 Typo corrections: – At 1:33, it should be “Black-Scholes” – At 16:21 it should read "scratch an itch". If anyone asks, I purposefully leave at least one typo in each video,…

Differential equations, studying the unsolvable | DE1

From 3Blue1Brown. An overview of what ODEs are all about Home page: https://3blue1brown.com/ Brought to you by you: http://3b1b.co/de1thanks Need to brush up on calculus? https://youtu.be/WUvTyaaNkzM Error correction: At 6:27, the upper equation should have g/L instead of L/g. Steven Strogatz NYT article on the math of love: https://opinionator.blogs.nytimes.com/2009/05/26/guest-column-loves-me-loves-me-not-do-the-math/ Interactive visualization of the example from…