Impossible Squares – Numberphile

From Numberphile. Ben Sparks shows us a simple problem that takes some fascinating twists. Check out Brilliant (get 20% off their premium service): https://brilliant.org/numberphile (sponsor) More links & stuff in full description below ↓↓↓ More videos with Ben Sparks: http://bit.ly/Sparks_Playlist Ben’s website: https://www.bensparks.co.uk Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://bit.ly/MSRINumberphile We…

Why is the Apple Calendar so broken?

From Standup Mathematician. Buy a physical book from Waterstones! https://bit.ly/humblepi_waterstones ebook on Amazon: https://www.amazon.com/s?k=humble+pi Audiobook on Audible: https://www.audible.co.uk/pd/Humble-Pi-Audiobook/0241375509 Huge thanks to Nick Day and Ken Taylor who emailed me about this bug. If you find anything out, or know someone who might know, email me: matt@standupmaths.com If you want to read the part of my…

Mathematics and Coronavirus – Numberphile

From Numberphile. Featuring Kit Yates… The longer podcast version: https://youtu.be/5OPaDnJ3tm8 Or here: https://www.numberphile.com/podcast/kit-yeates-coronavirus or on your podcast player! More links & stuff in full description below ↓↓↓ Support our videos and podcasts on Patreon: Patreon: http://www.patreon.com/numberphile Kit Yates website – https://kityates.com Kit on Twitter – https://twitter.com/Kit_Yates_Maths The Royal Society’s call to arms for mathematicians –…

Simulating an epidemic

From 3Blue1Brown. Experiments with toy SIR models Home page: https://www.3blue1brown.com Brought to you by you: http://3b1b.co/sir-thanks Simulations by Harry Stevens at the Washington Post: https://www.washingtonpost.com/graphics/2020/world/corona-simulator/ Simulations by Kevin Simler at Melting Asphalt: https://meltingasphalt.com/interactive/outbreak/ Excellent visualization of each country’s current growth from Minutephysics and Aatish Bhatia: https://www.youtube.com/watch?v=54XLXg4fYsc Another good interactive to see what effect various parameters…

The Coronavirus Curve – Numberphile

From Numberphile. Ben Sparks explains (and codes) the so-called SIR Model being used to predict the spread of cornavirus (COVID-19). More links & stuff in full description below ↓↓↓ National Health Service (UK) advice on Coronavirus: https://www.nhs.uk/conditions/coronavirus-covid-19/ Ben Sparks: https://www.bensparks.co.uk Use the Geogebra file Ben created for this video: https://www.geogebra.org/m/nbjfjtpv Another good file courtesy of…

Why do people keep getting this wrong‽

From Standup Mathematician. UK tour show details will be updated here: http://standupmaths.com/shows/ Check out Christian Lawson-Perfect’s cash calculator: https://make-it-rain-bloomberg.glitch.me/ https://twitter.com/christianp/status/1236338871564226561 US edition of Humble Pi http://bit.ly/humblepi UK edition of Humble Pi https://www.penguin.co.uk/books/300/300640/humble-pi/9780141989143.html Sorry, Think Maths have not made any teacher resources for this video, but check out their resources for all my other videos here:…

Which rating is better, mathematically speaking? | Probabilities of probabilities, part 1

From 3Blue1Brown. An early draft of part 2 for supporters: https://www.patreon.com/posts/34908022 Home page: https://www.3blue1brown.com Brought to you by you: http://3b1b.co/beta1-thanks John Cook post: https://www.johndcook.com/blog/2011/09/27/bayesian-amazon/ —————— These animations are largely made using manim, a scrappy open-source python library: https://github.com/3b1b/manim If you want to check it out, I feel compelled to warn you that it’s not the…

Mesolabe Compass and Square Roots – Numberphile

From Numberphile. Johnny Ball on the "often missed" Hippocrates of Chios. 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 See Johnny discuss Russian multiplication: https://youtu.be/HJ_PP5rqLg0 Numberphile is supported by the Mathematical Sciences…

Exponential growth and epidemics

From 3Blue1Brown. A good time for a primer on exponential and logistic growth, no? Home page: https://www.3blue1brown.com Brought to you by you: http://3b1b.co/covid-thanks Excellent visualization of this kind of growth from Minutephysics and Aatish Bhatia: https://www.youtube.com/watch?v=54XLXg4fYsc Data source: https://www.worldometers.info/coronavirus/coronavirus-cases/#case-tot-outchina Some have (quite rightfully) commented on how you shouldn’t look at the R^2 of linear regressions…

Random Fibonacci Numbers – Numberphile

From Numberphile. Dr James Grime on random Fibonacci Sequences… Extra footage: https://youtu.be/F0C4U7Q5yXU More links & stuff in full description below ↓↓↓ Fibonacci Numbers in the Mandelbrot Set: https://youtu.be/4LQvjSf6SSw More James Grime videos: http://bit.ly/grimevideos Our podcast interview with James Grime: https://youtu.be/9gQzkKifd3U or https://apple.co/2HsUMKb James Grime website: https://www.singingbanana.com Numberphile is supported by the Mathematical Sciences Research Institute…

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…

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…

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…

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…

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,…

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…

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…