The Hairy Ball Theorem

简介：

Unexpected applications and a beautiful proof are presented as the video explores the Hairy Ball Theorem, beginning with an introduction at 0:00, then discussing applications at 1:24, the puzzle of one null point at 8:46, the proof outline at 12:12, defining orientation at 16:41, why inside‑out is impossible at 21:44, a brief mention of 3b1b Talent at 25:59, and concluding with final food for thought at 27:44.