Three Different Operations on (3,4,5), generating three different Primitive #PythagoreanTriple tribes:
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Happy Pythagorean Squares Day! (9/16/25 = 3²/4²/5², a Pythagorean Triple). Here's a visualization of the smaller two numbers of a set of Pythagorean triples. Values were found using Euclid's formula with n and m the integers up to 100 and k up to 25. Color scaled with k. Axes rotated 45° just for fun.

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Happy #PythagorasDay! 🥳

Today’s date is 9.16.25, or 3² + 4² = 5².

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There are only \(4\) Pythagorean triples that have a side with the length "\(2023\)", and none of them is a primitive triple.
\[\begin{align}952^2+1785^2&=2023^2\\1127^2+1680^2&=2023^2\\2023^2+2040^2&=2873^2\\2023^2+6936^2&=7225^2\end{align}\]
They are multiples of primitive Pythagorean triples: \((8,15,17),(161,240,289),(119,120,169),(7,24,25)\).
#HappyNewYear #HappyNewYear2023 #HNY2023 #HNY #PythagoreanTriple #Triple