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?