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A neat connection with higher mathematics in geometry and topology you didn't know with the Pythagorean theorem. One of its proofs has a connection with the square peg problem as presented by Terence Tao. The "upcoming" book on geometry will still take awhile. But with your support the time line can be reduced. ---------------------------------------------------------- Check out my new book -- Learning Isn't Linear: The Essential Problem, Solution, and Project Book for Students, Teachers, and Parents available on amazon.com. Softcover - https://www.amazon.com/Learning-Isnt-... Softcover (color ed.) - https://www.amazon.com/Learning-Isnt-... eBook - https://www.amazon.com/Learning-Isnt-... (The book contains the "rolling rectangle" and the "caterpillar" Desmos programs.) Resources [1] • Terence Tao: An integration approach to th... [2] https://www.ams.org/notices/201404/rn... [3] https://arxiv.org/abs/1611.07441 [4] https://arxiv.org/pdf/2103.13848 Timestamps 0:00 - Intro 1:35 - Alternate Proof 2:48 - Is It Really a Square? 3:56 - Square Peg Problem 4:57 - How-to 5:51 - Exotic Curves 7:10 - Impossible Equations 9:14 - Little Theorem 9:47 - Outro --------------------------------------------------------- "Prioritize long-term learning over short-term test-taking." ----------------------------- #manim_community ----------------------------- #ai #education #mathematics #geometry #desmos #books #teacher #code #grid #python