Will a falling pencil hit the table? We do the maths!

From Standup Mathematician. Do check out Jane Street’s Real Numbers: https://www.janestreet.com/real-numbers Here is a scan of all the working out: https://www.dropbox.com/s/e0gg5bc891kny3t/pencil-maths.pdf?dl=0 We have a full break down of the working out for teachers: http://think-maths.co.uk/standupmaths-videos?yt-pencils#pencils There are Think Maths free resources for teachers for most of my videos! http://think-maths.co.uk/standupmaths-videos CAMERA ISSUE Yes we did lose the…

Strings and Loops within Pi – Numberphile

From Numberphile. Tom Crawford from Oxford University looks at self-locating strings and interesting loops. Get a Piece of Pi: https://www.patreon.com/posts/piece-of-pi-for-33529079 More links & stuff in full description below ↓↓↓ More of Tom on Numberphile: http://bit.ly/TomPlaylist See our Pi Playlist: http://bit.ly/PiPlaylist Tom’s website: https://tomrocksmaths.com The Pi Search Page: https://www.angio.net/pi/ OEIS sequences and pages of interest: https://oeis.org/A057680…

Tentacles Akimbo (with Cliff Stoll) – Numberphile

From Numberphile. Cliff Stoll and glass-blown topology – interview continues at https://youtu.be/Iv71QEId4ck — We’re uploading Cliff videos like this for the next three Sundays. (with other stuff during the week!) More links & stuff in full description below ↓↓↓ More videos with Cliff: http://bit.ly/Cliff_Videos Cliff Stoll’s Klein Bottle business: https://www.kleinbottle.com Our thanks to glass blower…

Pentagons and the Golden Ratio – Numberphile

From Numberphile. Continuing on from Zvezda’s previous video about Ptolemey’s Theorem (see: https://youtu.be/bJOuzqu3MUQ) now we use it to prove some cool stuff with pentagons and equilateral triangles. More links & stuff in full description below ↓↓↓ Zvezda’s Numberphile playlist: http://bit.ly/zvezda_videos Zvezda’s webpage: https://math.berkeley.edu/~stankova/ Golden Ratio: https://youtu.be/sj8Sg8qnjOg Epic Circles: https://youtu.be/sG_6nlMZ8f4 Triangle Magic Highway: https://youtu.be/wVH4MS6v23U Numberphile is…

A Miraculous Proof (Ptolemy’s Theorem) – Numberphile

From Numberphile. Featuring Zvezdelina Stankova… Want more? Part 2 (bringing in Pentagons and the Golden Ratio) is at: https://youtu.be/o3QBgkQi_HA More links & stuff in full description below ↓↓↓ Zvezda’s Numberphile playlist: http://bit.ly/zvezda_videos Zvezda’s webpage: https://math.berkeley.edu/~stankova/ Epic Circles: https://youtu.be/sG_6nlMZ8f4 Triangle Magic Highway: https://youtu.be/wVH4MS6v23U Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://bit.ly/MSRINumberphile We are…

Russian Multiplication – Numberphile

From Numberphile. Johnny Ball on Russian and Egyptian Multiplication. Check out Brilliant (get 20% off their premium service): https://brilliant.org/numberphile (sponsor) More links & stuff in full description below ↓↓↓ More on Johnny Ball, including his books and live shows: https://www.johnnyball.co.uk Russian multiplication is also known as Ethiopian multiplication. Why Use Binary? (on Computerphile) – https://youtu.be/thrx3SBEpL8…

Superhero Triangles – Numberphile

From Numberphile. Heronian triangles and other fascinating things, featuring Dr James Grime. Get your Superhero Triangle T-Shirt and other stuff: http://bit.ly/Super_Tri More links & stuff in full description below ↓↓↓ More videos with Dr Grime: http://bit.ly/grimevideos Dr James Grime: https://www.singingbanana.com PAPERS: A unique pair of triangles – https://arxiv.org/abs/1809.09936 Heronian Triangles Whose Areas Are Integer Multiples…

Why was this visual proof missed for 400 years? (Fermat’s two square theorem)

From Mathologer. NEW (Christmas 2019). Two ways to support Mathologer and get your name in the credits of Mathologer videos Mathologer Patreon: https://www.patreon.com/mathologer Mathologer PayPal: paypal.me/mathologer (see the Patreon page for details) Today’s video is about a new really wonderfully simple and visual proof of Fermat’s famous two square theorem: An odd prime can be…

A Prime Surprise (Mertens Conjecture) – Numberphile

From Numberphile. Dr Holly Krieger discusses Merterns’ Conjecture. Check out Brilliant (get 20% off their premium service): https://brilliant.org/numberphile (sponsor) More links & stuff in full description below ↓↓↓ More videos with Holly (playlist): http://bit.ly/HollyKrieger Dr Holly Krieger is the Corfield Lecturer at the University of Cambridge and a Fellow at Murray Edwards College: https://www.dpmms.cam.ac.uk/~hk439/ On…

Colouring Numbers – Numberphile

From Numberphile. Fields Medallist Sir Timothy Gowers discusses Van der Waerden’s theorem. Interview continues on Numberphile2 at: https://youtu.be/hHIfJcwipAY More links & stuff in full description below ↓↓↓ Timothy Gowers website: https://gowers.wordpress.com And his Twitter: https://twitter.com/wtgowers Podcast with Timothy Gowers: https://youtu.be/Pxsac9ZM9us The Fields Medal (with Cédric Villani): https://youtu.be/Vp3sgYKULp0 Numberphile is supported by the Mathematical Sciences Research…

The Datasaurus Dozen

From Standup Mathematician. Pre-order Humble Pi in the USA here: http://bit.ly/humblepi Watch Adam Savage announce his first book club! https://www.youtube.com/watch?v=yr0M5a1eTW0 Huge thanks to Justin Matejka for taking the time to chat with me. They do some amazing work. Follow Justin on twitter! https://twitter.com/JustinMatejka Read all about Justin’s plot and the Datasaurus Dozen here: https://www.autodeskresearch.com/publications/samestats Check…

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 PAPER: Platonic solids and high genus covers of lattice…

Visiting every Platform Zero in the UK in one day!

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…

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…

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…

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…

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…

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…