Eureka Sequences – Numberphile 0 (0)

From Numberphile. OEIS founder Neil Sloane with more sequences to ponder – of course! Check out Brilliant (get 20% off their premium service): https://brilliant.org/numberphile (sponsor) More links & stuff in full description below ↓↓↓ More Neil Sloane videos: http://bit.ly/Sloane_Numberphile Visit the OEIS: https://oeis.org/ Today’s featured sequences: https://oeis.org/A008864 and https://oeis.org/A001043 Numberphile is supported by the Mathematical…

The Pigeon Hole Principle: 7 gorgeous proofs 0 (0)

From Mathologer. Let’s say there are more pigeons than pigeon holes. Then, if all the pigeons are in the holes, at least one of the holes must house at least two of the pigeons. Completely obvious. However, this unassuming pigeon hole principle strikes all over mathematics and yields some really surprising, deep and beautiful results.…

Exploring the mysteries of the Prime (gaps!) Line. 0 (0)

From Standup Mathematician. Sign-up for Private Internet Access and we can be VPN buddies! Under $3 a month. https://www.privateinternetaccess.com/standupmaths Thanks to Kerry D. Wong who originally piqued my interest by sending me this: http://www.kerrywong.com/2009/09/06/an-alternative-illustration-of-prime-number-distribution/ Here are the papers about finding arbitrarily large gaps between primes: The first paper: https://arxiv.org/abs/1408.4505​ The paper one day later: https://arxiv.org/abs/1408.5110…

How (and why) to raise e to the power of a matrix | DE6 0 (0)

From 3Blue1Brown. General exponentials, Love, Schrödinger, and more. Home page: https://www.3blue1brown.com Brought to you by you: https://3b1b.co/thanks —————— The Romeo-Juliet example is based on this essay by Steven Strogatz: http://www.stevenstrogatz.com/essays/loves-me-loves-me-not-do-the-math The book shown at the start is Vladimir Arnold’s (excellent) textbook on ordinary differential equations. https://amzn.to/3dtXSwj Need a review of ordinary powers of e? https://youtu.be/m2MIpDrF7Es…

The Levine Sequence – Numberphile 0 (0)

From Numberphile. Neil Sloane from the OEIS has another number sequence which escalates quickly. More links & stuff in full description below ↓↓↓ More videos with Neil Sloane: http://bit.ly/Sloane_Numberphile Levine’s sequence on the OEIS: https://oeis.org/A011784 Neil is the founder and keeper of the The On-Line Encyclopedia of Integer Sequences: https://oeis.org/ Numberphile Podcast: https://www.numberphile.com/podcast Unmade Podcast:…

Nightingale Diagrams – Numberphile 0 (0)

From Numberphile. Professor Mike Merrifield discusses diagrams popularized by Florence Nightingale. Check out Brilliant (get 20% off their premium service): https://brilliant.org/numberphile (sponsor) More links & stuff in full description below ↓↓↓ Professor Mike Merrifield is an astronomer at the University of Nottingham, UK. He’s updating his own Nightingale diagram regularly on Twitter: https://twitter.com/AstroMikeMerri More videos…

Cuneiform Numbers – Numberphile 0 (0)

From Numberphile. Alex Bellos discusses how numbers were written in ancient Cuneiform. More links & stuff in full description below ↓↓↓ More from this interview on Numberphile2: https://youtu.be/n-sxOVSZc-Q Alex Bellos website: http://www.alexbellos.com And his books on Amazon (including the Language Lovers Puzzle Book which features cuneiform): https://amzn.to/3czJjXl More Alex Bellos on Numberphile: http://bit.ly/Bellos_Playlist Search the…

Calculating π by counting molecules. [Pi Day 2021] 0 (0)

From Standup Mathematician. Check out Steve Mould’s Pythagorean Siphon video: https://www.youtube.com/watch?v=Cg8KQfaT9xY&ab_channel=SteveMould Every Pi Day I calculate the digits of π somehow. This year I counted the number of molecules in a disc as a ‘real accurate’ way to measure its surface area. You can see all the previous videos here: https://www.youtube.com/watch?v=CKl1B8y4qXw&list=PLhtC92GarkjyYbxI3-4qzIWIRbZaw4wuP Yes, you can buy…

The ultimate algorithm 0 (0)

From Mathologer. There must be millions of people who have heard of the Tower of Hanoi puzzle and the simple algorithm that generates the simplest solution. But what happens when you are playing the game not with three pegs, as in the original puzzle, but with 4, 5, 6 etc. pegs? Hardly anybody seems to…

Why π^π^π^π could be an integer (for all we know!). 0 (0)

From Standup Mathematician. Check out the Jane Street programs if you’re considering a mathematics/finance/programming job: https://www.janestreet.com/join-jane-street/our-programs/ Here is Tim Gowers’s reply to the original tweet: https://twitter.com/wtgowers/status/1346212151581700096 3^3^3^3 on wolfram alpha: https://www.wolframalpha.com/input/?i=3%5E3%5E3%5E3 And for completeness, here is pi^pi^pi^pi: https://www.wolframalpha.com/input/?i=pi%5Epi%5Epi%5Epi If you have opinions about my 2n conjecture, send an email to matt+puzzles@standupmaths.com Here is my Numberphile…

Gabriel’s Horn Paradox – Numberphile 0 (0)

From Numberphile. Featuring Tom Crawford. Check out Brilliant (get 20% off their premium service): https://brilliant.org/numberphile (sponsor) More links & stuff in full description below ↓↓↓ Extra footage from this interview: https://youtu.be/EsX9y0lKsZw Tom Crawford’s website, with links to his work and other outreach: https://tomrocksmaths.com More Tom Crawford videos on Numberphile: http://bit.ly/Crawford_Videos Infinity Paradoxes: https://youtu.be/dDl7g_2x74Q Vuvuzelas on…

How lucky is too lucky?: The Minecraft Speedrunning Controversy Explained 0 (0)

From Standup Mathematician. Buy Humble Pi now and get a signed sheet from the typesetting proofs! https://www.harvard.com/book/9780593084694_humble_pi/ My talk on 4 February 2021 at Harvard Book Store: https://www.harvard.com/event/virtual_event_matt_parker/ Here is the original accusation against Dream. Video: https://www.youtube.com/watch?v=-MYw9LcLCb4&ab_channel=Geosquare Paper: https://mcspeedrun.com/dream.pdf And here is Dream’s reply. Video: https://www.youtube.com/watch?v=1iqpSrNVjYQ&ab_channel=DreamXD Paper: https://drive.google.com/file/d/1yfLURFdDhMfrvI2cFMdYM8f_M_IRoAlM/view "Matt flips a coin 100 times." https://youtu.be/T2Xtit17snE…

Annoying Puzzles (and Cognitive Reflection Problems) – Numberphile 0 (0)

From Numberphile. This video features Tim Harford. Check out Brilliant (get 20% off their premium service): https://brilliant.org/numberphile (sponsor) More links & stuff in full description below ↓↓↓ See an extra snippet from this interview on Numberphile2: https://youtu.be/1lwocqnBmVc Tim Harford website: https://timharford.com How to Make the World Add Up: https://amzn.to/3oBcDRx Or (different title in the US):…

The Drag Equation (Empire State Building v Eiffel Tower) – Numberphile 0 (0)

From Numberphile. Tom Crawford discusses drag – then we drop the Empire State Building and Eiffel Tower into the ocean… Check out Brilliant (get 20% off their premium service): https://brilliant.org/numberphile (sponsor) More links & stuff in full description below ↓↓↓ Find out more about Tom Crawford: https://tomrocksmaths.com/about/ More Tom videos on Numberphile: http://bit.ly/Crawford_Videos Check out…

The medical test paradox: Can redesigning Bayes rule help? 0 (0)

From 3Blue1Brown. Bayes factors, aka Likelihood Ratios*, offer a very clear view of how medical test probabilities work. Home page: https://www.3blue1brown.com Brought to you by you: https://3b1b.co/bayes-factor-thanks The book by my friend Matt Cook about paradoxes mentioned at then end: https://amzn.to/3aBrEzg On the topic, I can’t help also mentioning another paradox book I’m rather fond…

Why was Biden’s win calculated to be ONE IN A QUADRILLION? 0 (0)

From Standup Mathematician. This is Part III out of ‘one with a quadrillion zeros’ parts. Give the gift of Stand-up Maths this Christmas: https://www.patreon.com/standupmaths https://mathsgear.co.uk/ Part I: "Why do Biden’s votes not follow Benford’s Law?" https://www.youtube.com/watch?v=etx0k1nLn78 Part II: "Do these scatter plots reveal fraudulent vote-switching in Michigan?" https://www.youtube.com/watch?v=aokNwKx7gM8 Here is the Supreme Court filing from…

Butterflies and Gyroids – Numberphile 0 (0)

From Numberphile. Dr Sabetta Matsumoto discusses some of the mathematics of colour in nature, including butterfly wings and soap films. More links & stuff in full description below ↓↓↓ Dr Matsumoto’s group at Georgia Tech: http://matsumoto.gatech.edu And her Twitter: https://twitter.com/sabetta_ Previous video with Sabetta on Numberphile: https://youtu.be/0e5vzTsLh2s Brady looks at butterflies on Objectivity: https://youtu.be/lJWHppdupbI Numberphile…

What was the first (known) maths mistake? 0 (0)

From Standup Mathematician. Thanks to Waterstones for choosing Humble Pi as a ‘top 100’ paperback of the year. https://www.waterstones.com/book/humble-pi/matt-parker/9780141989143 Signed copies are available at Maths Gear. It’s cheaper at Waterstones, but not signed. You choose! https://mathsgear.co.uk/collections/books/products/humble-pi-signed-paperback Thanks to Robert Englund and the Free University of Berlin for producing Archaic Bookkeeping. What a niche but amazing…

How to build a Giant Dome – Numberphile 0 (0)

From Numberphile. Thomas Crawford speaks about domes, curves, and catenaries. Check out http://KiwiCo.com/Numberphile for 50% off your first month of any subscription. More links & stuff in full description below ↓↓↓ Thomas Crawford: https://tomrocksmaths.com/ More videos with Tom: http://bit.ly/Crawford_Videos Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://bit.ly/MSRINumberphile We are also supported by…

2.920050977316 – Numberphile 0 (0)

From Numberphile. Dr James Grime is discussing a new prime-generating constant. Check out Brilliant (get 20% off their premium service): https://brilliant.org/numberphile (sponsor) More links & stuff in full description below ↓↓↓ Extra footage from this interview: https://youtu.be/yXPhq-36Eq4 More James Grime videos: http://bit.ly/grimevideos James Grime’s website: https://www.singingbanana.com Mills’ Constant video: https://youtu.be/6ltrPVPEwfo A Prime-Representing Constant by Dylan…

Can you solve the banana puzzle? 0 (0)

From Standup Mathematician. Check out the Maths Inspiration shows here: http://mathsinspiration.com/ 24 Nov: Visualizing Math(s) 04 Dec: Christmas Special You should definitely watch Destin’s SmarterEveryDay video: Why Snatch Blocks are AWESOME (How Pulleys Work) https://www.youtube.com/watch?v=M2w3NZzPwOM Thanks to Hugh for actually weighing the bananas. http://www2.eng.cam.ac.uk/~hemh1/ The puzzle is a creation of Rob Eastaway. https://robeastaway.com/ Support me…

Do these scatter plots reveal fraudulent vote-switching in Michigan? 0 (0)

From Standup Mathematician. Here is the Dr Shiva Ayyadurai video I am talking about: https://www.youtube.com/watch?v=Ztu5Y5obWPk This is my previous video on Benford’s Law: https://www.youtube.com/watch?v=etx0k1nLn78 Support me on Patreon and I’ll make more maths videos. Probably not on election data, mind you. (Please, for the love of plot, no more election data.) https://www.patreon.com/standupmaths The page of…

How do brains count? – Numberphile 0 (0)

From Numberphile. Professor Brian Butterworth is a neuroscientist who specialises in numbers and mathematics. More from this interview at https://youtu.be/FCS4b3OjVJM and earlier videos with him at: https://bit.ly/Brian_Butterworth More links & stuff in full description below ↓↓↓ Brian’s website: https://www.mathematicalbrain.com Brian Butterworth playlist: https://bit.ly/Brian_Butterworth Discussed papers… Auditory midbrain neurons that count: https://pubmed.ncbi.nlm.nih.gov/12219094/ Mapping human temporal and…

Why do Biden’s votes not follow Benford’s Law? 0 (0)

From Standup Mathematician. My book is cheap at Waterstones and signed at Maths Gear: https://www.waterstones.com/book/humble-pi/matt-parker/9780141989143 https://mathsgear.co.uk/products/humble-pi-signed-paperback Check out Steve Mould’s Numberphile video about Benford’s Law. https://www.youtube.com/watch?v=XXjlR2OK1kM Buy a signed copy of "How Many Socks Make a Pair?" by Rob Eastaway. https://mathsgear.co.uk/products/copy-of-signed-copy-of-why-do-busses-come-in-threes There’s more on Mark Nigrini’s work here: http://www.nigrini.com/benfords-law/ "Benford’s Law and the Detection of…

The Forgotten Number System – Numberphile 0 (0)

From Numberphile. Featuring author Alex Bellos – check his books (including the Language Lover’s Puzzle Book) on Amazon: https://amzn.to/3oU0wjT More links & stuff in full description below ↓↓↓ More Alex on Numberphile: http://bit.ly/Bellos_Playlist Alex’s own website with links to all his stuff: http://www.alexbellos.com Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://bit.ly/MSRINumberphile We…

What is a Vampire Matrix? 0 (0)

From Standup Mathematician. Apply for a paid internship at Jane Street! Or, a job. https://www.janestreet.com/join-jane-street/info-booth/ Vampire Numbers on Numberphile with James Grime. https://youtu.be/3ZMnVd4ivKQ Flammable Math’s original tweet: https://twitter.com/FlammableMaths/status/1306303462607654914 Robin Houston gets involved: https://twitter.com/robinhouston/status/1306539901576503297 Here comes Greg Egan! https://twitter.com/gregeganSF/status/1306565923671736320 Robin’s tweets about characteristic polynomials and the Cayley-Hamilton theorem. I suggested looking them up and working through…

Bomb Blast Radius – Numberphile 0 (0)

From Numberphile. Featuring Tom Crawford. More links & stuff in full description below ↓↓↓ Tom Crawford website: https://tomrocksmaths.com/ More of our videos with Tom at: http://bit.ly/Crawford_Videos Atom bombs on Periodic Videos: https://youtu.be/QLZMzsRB86E 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…

Colouring Knots – Numberphile 0 (0)

From Numberphile. Featuring Professor Sylvain Cappell from NYU. Extra footage at: https://youtu.be/NV3EeagyU0Y More links & stuff in full description below ↓↓↓ Merch based on this video: https://teespring.com/numberphile-knots And here: https://teespring.com/numberphile-figure-eight 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…

UK Government loses data because of Excel mistake. 0 (0)

From Standup Mathematician. My previous video: When Spreadsheets Attack! https://www.youtube.com/watch?v=yb2zkxHDfUE Check out Gemma Arrowsmith (voice and star of Spreadsheets ad) on YouTube: https://www.youtube.com/user/gemmaarrowsmith Details about her courses and everything else she does here: http://gemmaarrowsmith.com/ Seth’s shout-out is at 14:15 here: https://youtu.be/TxHhgSIjxDc?t=855 This is the BBC report: https://www.bbc.co.uk/news/technology-54423988 You can read the official government statement on…

General Relativity: Top 05 Mishaps [inc INTERSTELLAR] 0 (0)

From Standup Mathematician. Check out A Podcast of Unnecessary Detail: https://festivalofthespokennerd.com/podcast/ This is the Maths Inspiration show I’m going with Eugénie on 24 November: http://www.mathsinspiration.com/events/?id=123 We have passes for schools as well as for people watching from home. Huge thanks to Eugénie von Tunzelmann for being my coolest friend and for taking the time to…

Poncelet’s Porism – Numberphile 0 (0)

From Numberphile. Featuring Daniel Litt. Check out Brilliant (get 20% off their premium service): https://brilliant.org/numberphile (sponsor) More links & stuff in full description below ↓↓↓ Daniel Litt: https://www.daniellitt.com/ See Daniel previously on Numberphile: https://youtu.be/eYfpSAxGakI Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://bit.ly/MSRINumberphile We are also supported by Science Sandbox, a Simons Foundation…

Predators and Prey – Numberphile 0 (0)

From Numberphile. Tom Crawford talks foxes and rabbits. More links & stuff in full description below ↓↓↓ More of Tom on Numberphile: http://bit.ly/TomPlaylist Tom’s website: https://tomrocksmaths.com 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…

How did Ramanujan solve the STRAND puzzle? 0 (0)

From Mathologer. Today’s video is about making sense of an infinite fraction that pops up in an anecdote about the Indian mathematical genius Srinivasa Ramanujan. 00:00 Intro 04:31 Chapter 1: Getting a feel for the puzzle 08:27 Chapter 2: Algebra autopilot 12:37 Chapter 3: Infinite fraction 17:51 Chapter 4: Root 2 21:19 Chapter 5: Euclidean…

Why is there no equation for the perimeter of an ellipse‽ 0 (0)

From Standup Mathematician. Applications for paid internships at Jane Street are open! https://www.janestreet.com/join-jane-street/internships/ A Podcast of Unnecessary Detail is out now: https://festivalofthespokennerd.com/podcast/ Come for the Unnecessary Detail, stay for the A Podcast Of. These are my approximation equations: perimeter ≈ π[53a/3 + 717b/35 – √(269a^2 + 667ab + 371b^2)] perimeter ≈ π(6a/5 + 3b/4) If…

Hamming codes part 2, the elegance of it all 0 (0)

From 3Blue1Brown. Part 1: https://youtu.be/X8jsijhllIA Watch Ben Eater’s video: https://youtu.be/h0jloehRKas Viewer-supported: https://3b1b.co/hamming-thanks A cleaner perspective on Hamming error correction codes. You can read Hamming’s own perspective on his discovery of these codes in chapter 12 of "The Art of Doing Science and Engineering". https://amzn.to/3lwcnmh Heavily related is the chessboard puzzle I did with Matt Parker:…

Hamming codes and error correction 0 (0)

From 3Blue1Brown. A discovery-oriented introduction to error correction codes. Part 2: https://youtu.be/b3NxrZOu_CE Ben Eater:’s take: https://youtu.be/h0jloehRKas Many thanks to these supporters: https://3b1b.co/hamming-thanks Heavily related is the chessboard puzzle I did with Matt Parker: https://youtu.be/as7Gkm7Y7h4 You can read Hamming’s own perspective on his discovery of these codes in chapter 12 of "The Art of Doing Science…

Landmark Numbers and Bad Number Analogies 0 (0)

From Standup Mathematician. You can pre-order Tim’s book How to Make the World Add Up now! https://mathsgear.co.uk/products/how-to-make-the-world-add-up-signed-hardback Watch Tim Harford talk about the Stork-Baby correlation on Numberphile: https://www.youtube.com/watch?v=-n-d1ApBTFw Here is the current Landmark Number recommended toolkit (yours may differ). – population of the country you live in – ‘people days’ per year in your countries…

The Brussels Choice – Numberphile 0 (0)

From Numberphile. Neil Sloane from the OEIS discusses the Choix de Bruxelles. Check out Brilliant (get 20% off their premium service): https://brilliant.org/numberphile (sponsor) More links & stuff in full description below ↓↓↓ Neil Sloane founded the runs the OEIS: https://oeis.org/ Brussels Choice on the OEIS: https://oeis.org/A323454 Neil Sloane playlist on Numberphile: http://bit.ly/Sloane_Numberphile Neil Sloane on…

What is the biggest tangent of a prime? 0 (0)

From Standup Mathematician. What is your Mega-Favourite Number? The playlist of #MegaFavNumbers videos is here: https://www.youtube.com/watch?v=R2eQVqdUQLI&list=PLar4u0v66vIodqt3KSZPsYyuULD5meoAo If you make a video about a number bigger than 1,000,000 use the hashtag #MegaFavNumbers and we’ll add it to the playlist! Here is my current mega-favourite number: 1,169,809,367,327,212,570,704,813,632,106,852,886,389,036,911 This is the OEIS page for A249836: Numbers n for…

Group theory and why I love 808,017,424,794,512,875,886,459,904,961,710,757,005,754,368,000,000,000 0 (0)

From 3Blue1Brown. An introduction to group theory, and the monster group. Paid for by viewers, like you: https://3b1b.co/monster-thanks Minor error corrections below↓↓↓ This video is part of the #MegaFavNumbers project: https://www.youtube.com/playlist?list=PLar4u0v66vIodqt3KSZPsYyuULD5meoAo To join the gang, upload your own video on your own favorite number over 1,000,000 with the hashtag #MegaFavNumbers, and the word MegaFavNumbers in…

Does “land area” assume a country is perfectly flat? 0 (0)

From Standup Mathematician. You can listen to the A Problem Squared podcast here (and everywhere else). Please do! https://aproblemsquared.libsyn.com/ Huge thanks to Dr Laura Graham! Everything they did is on github: https://github.com/laurajanegraham/surface_area/blob/master/surface_area.md All about Laura: https://laurajanegraham.github.io/ Prof Alasdair Rae was also big help and sent me their slides. http://bit.ly/measurelandarea This is that video: https://www.youtube.com/watch?v=pDYkiK90WCM All…

Squares and Tilings – Numberphile 0 (0)

From Numberphile. With 2006 Fields Medallist Andrei Okounkov More links & stuff in full description below ↓↓↓ Professor Okounkov website: http://www.math.columbia.edu/~okounkov/ Numberphile Field Medallist Playlist: https://bit.ly/Fields_Playlist Roger Penrose on the Numberphile Podcast: https://youtu.be/JiDWGbsVEno 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…

Dungeon Numbers – Numberphile 0 (0)

From Numberphile. Featuring Neil Sloane from the OEIS. Check out Brilliant (get 20% off their premium service): https://brilliant.org/numberphile (sponsor)… More links & stuff in full description below ↓↓↓ Part 2: https://youtu.be/HFeKdMf01rQ Neil Sloane is the founder of the The On-Line Encyclopedia of Integer Sequences. Visit it here: https://oeis.org More Neil Sloane on Numberphile: http://bit.ly/Sloane_Numberphile Numberphile…

Ellipsoids and The Bizarre Behaviour of Rotating Bodies 0 (0)

From Standup Mathematician. Derek’s video: The Bizarre Behavior of Rotating Bodies, Explained https://www.youtube.com/watch?v=1VPfZ_XzisU Based on this amazing footage: Dancing T-handle in zero-g https://www.youtube.com/watch?v=1n-HMSCDYtM Terence Tao’s original answer, with update. https://mathoverflow.net/questions/81960/the-dzhanibekov-effect-an-exercise-in-mechanics-or-fiction-explain-mathemat Support me on Patreon and I can make more video like this! https://www.patreon.com/standupmaths We are sat so close because we filmed this in the “before…

Hat Problems – Numberphile 0 (0)

From Numberphile. Featuring Joe Buhler. See part 2 of this interview: https://youtu.be/4YG4QnhVV7A More links & stuff in full description below ↓↓↓ An Introduction to Infinite Hat Problems (paper): https://bit.ly/31OeWZK See also Spheres and Code Words with James Grime: https://youtu.be/T46FTuHnbvY Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://bit.ly/MSRINumberphile We are also supported by…