Mathematician reworks Euclid's Pythagorean proof with AI in an hour, using parallelograms

AlexKontorovich · x · 2026-11-14

Mathematician Alex Kontorovich always loved Euclid's "windmill" proof of the Pythagorean theorem but disliked cutting the square into triangles. During an Outlook outage, he spent an hour iterating with AI to animate a version using parallelograms instead—no extra cut needed, which he finds more elegant.

Self-deprecating that he's no 3Blue1Brown, he shared an interactive link so anyone can play with it.

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