Early stages as far as how I'd use this with students but definitely some fun math to investigate here through Desmos related to generating pythagorean triples in a coordinate grid.

Things I notice:

When gcd(m,n) = 1 we have the primitive pythagorean triple, when gcd(m,n) > 1 we get a triple similar to a primitive triple.Things I wonder:

How could I get spirals to show up in desmos like those in this wikipedia article?

Got playing around with this because spirals. Didn't get there, but made a different visualization. https://www.desmos.com/calculator/br7ozjqje8

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