The Slightly Bungled Mersenne Prime Origin Story – Numberphile

From Numberphile. See Objectivity (293 videos and more to come) – https://www.youtube.com/c/objectivityvideos More links & stuff in full description below ↓↓↓ Brady Haran is at the Royal Society looking at the book which resulted in the name "Mersenne Primes". Mersenne Prime videos on Numberphile: https://www.youtube.com/playlist?list=PLt5AfwLFPxWKsTwVXpLscZdfiiqAkkGCA The Royal Society library: https://royalsociety.org/about-us/what-we-do/collections/visitors/ Translation and explanation of the…

The Snakey Hexomino (unsolved Tic-Tac-Toe problem) – Numberphile

From Numberphile. Sophie Maclean explains Animal Tic-Tac-Toe – and why the Snakey hexomino is the only "unsolved" creature. More links & stuff in full description below ↓↓↓ Sophie’s previous polyominoes video: https://youtu.be/ONdgXYEBihA More Sophie on Numberphile: https://bit.ly/Sophie_Numberphile Sophie Maclean is based at Kings College, London: https://sophiethemathmo.wordpress.com Tic-Tac-Toe with Xs only – https://youtu.be/ktPvjr1tiKk Three board Tic-Tac-Toe…

The Frobenius Problem (and numerical semigroups) – Numberphile

From Numberphile. Featuring Professor David Eisenbud discussing numerical semigroups. More links & stuff in full description below ↓↓↓ Also discussing Sylvester’s Theorem, prime numbers and the Frobenius Number Problem. Our previous video on ordering 43 chicken nuggets and Frobenius Numbers: https://www.youtube.com/watch?v=vNTSugyS038 David Eisenbud: https://www.slmath.org/people/161 Counting numerical semigroups (Kunz and Waldi): https://arxiv.org/abs/1410.7150 Patreon: http://www.patreon.com/numberphile Numberphile is…

18 mathematicians break my secret santa method

From Standup Mathematician. Learn more about Jane Street’s internship opportunities: https://jane-st.co/SUM-internships Sign up to patreon to get a unique christmas card! https://www.patreon.com/standupmaths A Mathematical Secret Santa Protocol by Katie Steckles https://www.youtube.com/watch?v=ehRTbNIr6-E This is the math stackexchange discussion: https://math.stackexchange.com/a/2896914 The Problems with Secret Santa, Hannah fry on Numberphile. https://www.youtube.com/watch?v=5kC5k5QBqcc Thanks to everyone who took part! Here…

Pentominoes and other Polyominoes – Numberphile

From Numberphile. Sophie Maclean discusses pentominoes and other polyominoes. See https://brilliant.org/numberphile for Brilliant and 20% off their premium service & 30-day trial (episode sponsor). More links & stuff in full description below ↓↓↓ Sophie Maclean is based at Kings College, London: https://sophiethemathmo.wordpress.com More Sophie on Numberphile: https://bit.ly/Sophie_Numberphile Previously on Numberphile, The Pentomino Puzzle: https://youtu.be/wZ1E_CM7MqA Patreon:…

Ptolemy’s Theorem and the Almagest: we just found the best visual proof in 2000 years

From Mathologer. We are making history again by presenting a new visual proof of the 2000+ years old Ptolemy’s theorem and Ptolemy’s inequality. 00:00 Introduction 04:27 Geometry 101 08:19 Applications 14:46 Ptolemy’s inequality 18:34 LIES 25:35 Animated proofs 28:57 Thank you! 30:53 Degenerate Easter Egg There are some other proofs of Ptolemy’s theorem/inequality based on…

Way beyond the golden ratio: The power of AB=A+B (Mathologer masterclass)

From Mathologer. Today’s mission: saving another incredible discovery from falling into oblivion: Steinbach’s amazing infinite family of counterparts of the golden ratio discovered around 1995. Lot’s of my own little discoveries in this one 🙂 00:00 Intro 05:53 Ptolemy 09:18 Perfect cut 16:01 Golden rectangle 22:03 Fibonacci 33:07 A+B=AB 45:48 Images and music 47:27 Thank…

Conway’s IRIS and the windscreen wiper theorem

From Mathologer. Conway’s whatever … it’s named after John Conway and so it must be good 🙂 Wiki page dedicated to John Conway https://en.wikipedia.org/wiki/John_Horton_Conway Wiki page Conway’s circle https://en.wikipedia.org/wiki/Conway_circle_theorem Wiki page on his Game of Life https://en.wikipedia.org/wiki/Conway%27s_Game_of_Life Michael de Villiers (the connection with the windscreen wiper theorem, read this one first) http://dynamicmathematicslearning.com/conway-circle-theorem-special-case-side-divider-theorem.pdf http://dynamicmathematicslearning.com/conway-circle-as-special-side-divider-theorem.html Also check…

Simple yet 5000 years missed ?

From Mathologer. Good news! You really can still discover new beautiful maths without being a PhD mathematician. Stumbled across this one while working on the magic squares video. Another curious discovery by recreational mathematician Lee Sallows. A simple and beautiful and curious fact about triangles that, it appears, was first discovered only 10 years ago.…

What’s the curse of the Schwarz lantern?

From Mathologer. Second coop with Andrew. This time it’s about the Schwarz lantern a very famous counterexample to something that mathematicians believed to be obviously true. A 3D cousin of the famous pi = 4 paradox. 00:00 Intro 00:39 Troll math: the pi=4 meme 02:25 Archimedes chops off corners 05:51 Archimedes boxing of pi 07:40…

The best A – A ≠ 0 paradox

From Mathologer. This video is about a new stunning visual resolution of a very pretty and important paradox that I stumbled across while I was preparing the last video on logarithms. 00:00 Intro 00:56 Paradox 03:52 Visual sum = ln(2) 07:58 Pi 11:00 Gelfond’s number 14:22 Pi exactly 17:35 Riemann’s rearrangement theorem 22:40 Thanks! Riemann…