8 Jan
2017
8 Jan
'17
1:52 p.m.
Do any of you have any favorite private facts about the Thue-Morse sequence, or any favorite links to existing content on this subject? (I already know about the Numberphile video "The Fairest Sharing Sequence Ever".) I'd especially like a link to an image or animation graphically depicting the self-similarity of the Thue-Morse sequence. (I have my own ideas for a GIF that would depict this, but I prefer not to create things that already exist.) I'd also be interested in knowing whether any well-known (or not so well-known) poems use an abbabaab rhyme scheme, or whether there is any interesting music based on the Thue-Morse sequence. (Yes, this is all for my next Mathematical Enchantments piece.) Thanks, Jim Propp