Group theory, abstraction, and the 196,883-dimensional monster
Why Hacker News recommends it
Mentioned as a favorite 3Blue1Brown video and a related watch in threads about deep mathematical structure.
What it is
3Blue1Brown introduces group theory and abstract groups, then builds toward classification of finite simple groups and the enormous Monster group with its 196,883 dimensions.
Recommended by 1 HN commenters across 1 different months, 2021 to 2023.
What Hacker News said
Strong rec bb88 · 2023-12 · on “3Blue1Brown Calculus Blog Series”
3b1b uses a python library for creating those videos. [LINK] As far as a math educator/communicator, one of my favorite videos of his is the video on the monster. [this video] Also since we're talking about powerpoint here you should probably see this Matt Parker video about excel being used in ways it shouldn't maybe? [LINK]
Cites teekert · 2021-07 · on “New Shape Opens ‘Wormhole’ Between Numbers and Geometry”
As a noob I'd say this also falls into that category: [0]. Who knows, if enough people ask about it on his reddit (topic requests) :) : [1] [0] [this video] [1] [LINK]
Cites Laremere · 2023-06 · on “Mathematicians Have Found a Shape with a Pattern That Never Repeats”
See also: The monster: [this video] Ideal packing of squares (some are elegant, 17 is not) [LINK] The 4 color theorem was solved by reducing it down to 633 cases and just using a computer to find a coloring for each case: [LINK]