How they played chess forever, snowflakes, and other ubiquitous joys of avoiding an awawa in binary

How they played chess forever, snowflakes, and other ubiquitous joys of avoiding an awawa in binary: The Prouhet-Thue-Morse Sequence and its properties (a math video essay)

00:00:00 Intro
00:00:24 CH1 Let's play chess (forever) Part 1
00:02:55 CH2 Counting in the Fjords
00:05:15 CH3 "0", "1" and "01"
00:08:50 CH4 Thue's Answer and The Prouhet-Thue-Morse Sequence
00:12:57 CH5 (Part1) An awawa and other preliminaries
00:19:37 CH5 (Part2) Proof that the Prouhet-Thue-Morse Sequence avoids an awawa
00:27:23 CH6 Cube Free and Other Corollaries
00:30:32 CH7 Eugene Prouhet
00:38:14 CH8 H.C. Marston Morse
00:45:13 CH9 Flip The Bit
00:50:36 CH10 Substitutions and Snowflakes
00:58:46 CH11 Let's play chess (forever) Part 2
01:00:43 Extras and Wrap-Up

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Sources:

Euwe, M. “Mengentheoretische Betrachtungen ̈ uber das Schachspiel.” Proc. Konin. Akad. Wetenschappen, Amsterdam 32 (1929), 633–642.

Thue, Axel “Uber die gegenseitige Lage gleicher Teile gewisser Zeichenreihen”, ¨ Norske vid. Selsk. Skr.
Mat. Nat. Kl. 1 (1912), 1-67. Reprinted in ”Selected mathematical papers of Axel Thue,” T. Nagell,
ed., Universitetsforlaget, Oslo, 1977, 413-478.

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[lexinwonderland]

AAAA THIS IS AWESOME!! I know long form videos aren't popular, but I *do* appreciate the detail you put into this (and other!) projects, and I think you do a great job at it! I was genuinely THRILLED to finally see that you'd posted again, and that it was a long post at that!!