3 ms·
3b1b is fantastic. Another YouTuber I really like is Another Roof [1] -- the videos on Golay codes [2] using an icosahedron, and sporadic groups [3] are fantas
by sunshowers 3y ago
3b1b is fantastic.
Another YouTuber I really like is Another Roof [1] -- the videos on Golay codes [2] using an icosahedron, and sporadic groups [3] are fantastic. There are some objects in mathematics that have pretty elementary definitions that a schoolchild can understand, but have secrets-of-the-universe level stuff behind them.
[1] https://www.youtube.com/@AnotherRoof https://www.youtube.com/@AnotherRoof
[2] https://www.youtube.com/watch?v=Tmx-v4FiP6I https://www.youtube.com/watch?v=Tmx-v4FiP6I
[3] https://www.youtube.com/watch?v=dxRf3vHbuoA https://www.youtube.com/watch?v=dxRf3vHbuoA
- blovescoffee 3y agoI don't think I've ever heard of Golay codes. Could you elaborate on the secrets of the universe part?
- sunshowers 3y agoGolay codes are a set of error correcting codes. The interesting thing is that one of the Golay codes is isomorphic to a mathematical object called S(5,8,24), which is the set of 8-element subsets of a 24-letter alphabet such that any 5 elements occur exactly once. And that this is very closely related to one of the Mathieu groups, which are finite and sporadic: exceptional objects in mathematics. I loved the presentation of it.