Some interesting images I found while wandering around the landscape of Pythagorean Triples.
The last one is particularly interesting to me, as I can see weird ‘moire’ style patterns that appear to be some kind of 8-sided hyperbolic-looking thingamajig. Kind of hard to see – and it depends on monitor resolution &c.
More info and inspiration:
Norman Wildberger’s intro to Pythagorean Triples:
User “Aza”‘s wikipedia scatter plot of pythagorean triples: