John Carlos Baez on Nostr: If you draw all roots of all polynomials whose coefficients are ±1, you get an ...
If you draw all roots of all polynomials whose coefficients are ±1, you get an amazing picture that raises lots of challenging puzzles!
I really hope someone reads our short article:
https://www.ams.org/journals/notices/202309/rnoti-p1495.pdfand solves the main puzzle: why do the fractal regions of this set look so much like "dragon sets"? We have a good heuristic explanation, but no proof yet.
Read on for a bit more about this:
(1/2)
Published at
2023-09-30 11:40:13Event JSON
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"content": "If you draw all roots of all polynomials whose coefficients are ±1, you get an amazing picture that raises lots of challenging puzzles!\n\nI really hope someone reads our short article:\n\nhttps://www.ams.org/journals/notices/202309/rnoti-p1495.pdf\n\nand solves the main puzzle: why do the fractal regions of this set look so much like \"dragon sets\"? We have a good heuristic explanation, but no proof yet. \n\nRead on for a bit more about this:\n\n(1/2)\n\nhttps://media.mathstodon.xyz/media_attachments/files/111/153/875/818/969/329/original/b538457645986dd7.jpg",
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