Visual proof of Fermat's two-square theorem: youtube.com/watch?v=DjI1NICfjO

The theorem (en.wikipedia.org/wiki/Fermat%2) states that a prime number can be represented as the sum of two squares of integers iff it is congruent to 1 mod 4. In 1990, Don Zagier published a "one-line proof" involving a tricky algebraically-defined involution among triples of numbers. The linked Mathologer video explains how to see the same involution more intuitively, as a dissection of polyominoes.

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@11011110 I've recently featured Zagier's one line proof here:
mathcination.wordpress.com/201
(with illustrations done in Tikz)

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