Log24

Sunday, March 5, 2023

Annals of Artificial Mathematics

Filed under: General — Tags: , , — m759 @ 9:11 pm

The response of ChatGPT to a question about my work
continues to evolve.  It now credits Conway, not Thurston,*
for the diamond theorem.

The paragraph beginning "The theorem states" appears** to be based
on the following 24 patterns — which number only 8, if rotated or
reflected patterns are considered equivalent.

* For Thurston in an earlier ChatGPT response to the same question,
see a Log24 post of Feb. 25.

** The illustration above is based on the divison of a square into
four smaller subsquares.  If the square is rotated by 45 degrees,
it becomes a diamond  that can be, in the language of ChatGPT,
divided into "four smaller diamonds ."

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