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 ↓↓↓ 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 also supported by Science Sandbox, a Simons Foundation…

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. 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 πŸ™‚ Today’s video is another self-contained story of mathematical discovery covering millennia of math, starting from pretty much nothing and finishing with a mathematical mega weapon that usually only…

TREE vs Graham’s Number – Numberphile

From Numberphile. The biggest number we’ve ever tackled – TREE of Graham’s Number. Supporting #TeamTrees on a quest to plant 20 million trees – https://www.teamtrees.org/ (Original brown papers from this video available to support the campaign – http://bit.ly/brownpapers) More links & stuff in full description below ↓↓↓ Extra footage from this interview: https://youtu.be/wqdOnEnfJXM Big Numbers:…

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…

The Mystery of 42 is Solved – Numberphile

From Numberphile. 42 was the last remaining number below 100 which could not be expressed as the sum of three cubes (*) – UNTIL NOW More links & stuff in full description below ↓↓↓ (*) barring numbers for which this known to be IMPOSSIBLE – see previous videos. See our playlist previous videos on this…

Reynolds Number – Numberphile

From Numberphile. Second of three videos we’re doing on Navier Stokes and related fluid stuff… featuring Tom Crawford. More links & stuff in full description below ↓↓↓ Playlist: http://bit.ly/NavierPlaylist Part 1 (Navier-Stokes): https://youtu.be/ERBVFcutl3M Part 3 (River Water): https://youtu.be/5mGh0r3zC6Y Tom Crawford works at the University of Oxford… more at: https://tomrocksmaths.com Smarter Every Day’s color unmixing machine:…

Navier-Stokes Equations – Numberphile

From Numberphile. Tom Crawford (sporting a Navier-Stokes tattoo) talks about the famed equations – subject of a $1m Millennium Prize. Part 2 (Reynolds Number): https://youtu.be/wtIhVwPruwY Part 3 (River Water): https://youtu.be/5mGh0r3zC6Y 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 Numberphile is supported…

Amazing Graphs III – Numberphile

From Numberphile. 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…

Amazing Graphs II (including Star Wars) – Numberphile

From Numberphile. Full Amazing Graphs trilogy: http://bit.ly/Amazing_Graphs Check out Brilliant (get 20% off their premium service): https://brilliant.org/numberphile (sponsor) More links & stuff in full description below ↓↓↓ This video features Neil Sloane, creator of the OEIS: https://oeis.org More videos with Neil: http://bit.ly/Sloane_Numberphile New podcast with Neil Sloane: https://youtu.be/mNk_MfFKnuY Numberphile Podcast on YouTube: http://bit.ly/Numberphile_Pod_Playlist Numberphile is…

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…

Amazing Graphs – Numberphile

From Numberphile. Full Amazing Graphs trilogy: http://bit.ly/Amazing_Graphs Featuring Neil Sloane of OEIS fame. Even more unexpected graphs in our next video. More links & stuff in full description below ↓↓↓ More Neil Sloane videos: http://bit.ly/Sloane_Numberphile Neil is the master and keeper of the On-line Encyclopedia of Integer Sequences: https://oeis.org Sequences in this video included: https://oeis.org/A133058…

Frieze Patterns – Numberphile

From Numberphile. A surprising link discussed by Professor Sergei Tabachnikov. Extra footage at: https://youtu.be/MJ1NAzpens4 More links & stuff in full description below ↓↓↓ Sergei Tabachnikov’s homepage at Pennsylvania State University : http://www.math.psu.edu/tabachni/ David Eisenbud discussed MSRI during his Numberphile podcast: https://www.youtube.com/watch?v=9y1BGvnTyQA Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://bit.ly/MSRINumberphile We are also…

This problem seems hard, then it doesn’t, but it really is

From 3Blue1Brown. The famous (infamous?) “windmill” problem on the 2011 IMO Home page: https://www.3blue1brown.com Brought to you by you: http://3b1b.co/windmillthanks The author of this problem was Geoff Smith. You can find the full list of problems considered for the IMO that year, together with their solutions, here: https://www.imo-official.org/problems/IMO2011SL.pdf You can find data for past IMO…

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 Ο€. [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: 30Β°41’07.6″S 68Β°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…

The Dehn Invariant – Numberphile

From Numberphile. It was #3 on Hilbert’s list of the most important problems in mathematics – until his student solved it. More links & stuff in full description below ↓↓↓ Featuring Daniel Litt, currently at the Institute for Advanced Study – https://twitter.com/littmath David Hilbert’s problems: https://en.wikipedia.org/wiki/Hilbert%27s_problems Max Dehn’s famed proof: https://archive.org/details/mathematischean33behngoog/page/n488 Numberphile is supported by…

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…

Necklace Splitting (a lesson for jewel thieves) – Numberphile

From Numberphile. Featuring Professor Noga Alon. More links & stuff in full description below ↓↓↓ Extra footage: https://youtu.be/E-8YvnaumKU Recorded with Noga Alon at Princeton University. Read his necklace paper: https://m.tau.ac.il/~nogaa/PDFS/Publications2/Splitting%20necklaces.pdf Diamond on Periodic Videos: https://youtu.be/EmXe5EDQvsg Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://bit.ly/MSRINumberphile We are also supported by Science Sandbox, a Simons…

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…

Solving EQUATIONS by tagging TURTLES with LASERS

From Mathologer. Today’s video is about Lill’s method, an unexpectedly simple and highly visual way of finding solutions of polynomial equations (using turtles and lasers). After introducing the method I focus on a couple of stunning applications: pretty ways to solve quadratic equations with ruler and compass and cubic equations with origami, Horner’s form, synthetic…

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 β€œBlack-Scholes” – At 16:21 it should read “scratch an itch”. If anyone asks, I purposefully leave at least one typo in each video,…

Why didn’t GPS crash?

From Standup Mathematician. More on the GPS roll-over. https://www.theregister.co.uk/2019/02/12/current_gps_epoch_ends/ “In the Future the Modernized GPS Navigation (CNAV and MNAV) message has a 13-bit week number, which for all practical purposes solves this ambiguity” https://www.gps.gov/cgsic/meetings/2017/powers.pdf See me turn on my TomTom: https://www.patreon.com/posts/26065751 If you want to see more hilarious tales about roll-over errors then, well, READ…

When Buildings Wobble: with Paul Shepherd

From Standup Mathematician. Watch the whole lecture on the Ri channel: https://www.youtube.com/watch?v=6JwEYamjXpA You can buy my book now! Get it from Maths Gear and I’ll totally sign it and stuff. https://mathsgear.co.uk/products/humble-pi But it is also available on Amazon. https://www.amazon.co.uk/Humble-Pi-Comedy-Maths-Errors/dp/0241360234/ref=sr_1_1?_encoding=UTF8&tag=stanupmath-21 Thanks to Paul Shepherd from the University of Bath https://researchportal.bath.ac.uk/en/persons/paul-shepherd CORRECTIONS – Nothing yet. Let me…

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…

Bayesian Statistics with Hannah Fry

From Standup Mathematician. You can buy Hannah’s great book Hello World from loads of places: http://www.hannahfry.co.uk/helloworld Including signed copies on Maths Gear! https://mathsgear.co.uk/collections/books/products/copy-of-signed-copy-of-hello-world My book Humble Pi is available signed on Maths Gear, as well as un-signed from all the usuals. SIGNED https://mathsgear.co.uk/collections/books/products/humble-pi-a-comedy-of-maths-errors UNSIGNED https://www.amazon.co.uk/Humble-Pi-Comedy-Maths-Errors/dp/0241360234/ref=sr_1_1?_encoding=UTF8&tag=stanupmath-21 The history of Thomas Bayes. http://www-history.mcs.st-andrews.ac.uk/Biographies/Bayes.html All about the theorem…

The Secret of Parabolic Ghosts

From Mathologer. Today we’ll perform some real mathematical magic—we’ll conjure up some real-life ghosts. The main ingredient to this sorcery are some properties of x squared that they don’t teach you in school. Featuring the mysterious whispering dishes, the Mirage hologram maker and some origami x squared.paper magic. Here is a nice article about the…

New Reuleaux Triangle Magic

From Mathologer. Today’s video is about plane shapes that, just like circles, have the same width in all possible directions. That non-circular shapes of constant width exist is very counterintuitive, and so are a lot of the gadgets and visual effects that are “powered” by these shapes: interested in going for a ride on non-circular…

How colliding blocks act like a beam of light…to compute pi.

From 3Blue1Brown. The third and final part of the block collision sequence. Part 1: https://youtu.be/HEfHFsfGXjs Part 2: https://youtu.be/jsYwFizhncE Home page: https://www.3blue1brown.com Brought to you by you: http://3b1b.co/clacks-thanks Error correction: I wrote the answer as floor(pi/theta), when really it should be ceiling(pi/theta) – 1 t account for values of theta perfectly dividing pi. For example, the…

So why do colliding blocks compute pi?

From 3Blue1Brown. Part 1: https://youtu.be/HEfHFsfGXjs Part 3: https://youtu.be/brU5yLm9DZM Home page: https://www.3blue1brown.com Brought to you by you: http://3b1b.co/clacks-thanks Many of you shared solutions, attempts, and simulations with me this last week. I loved it! Y’all are the best. Here are just two of my favorites. By a channel STEM cell: https://youtu.be/ils7GZqp_iE By Doga Kurkcuoglu: http://bilimneguzellan.net/bouncing-cubes-and-%CF%80-3blue1brown/ And…