As an extension of the Pythagorean number triple generator, I’ve started graphing the number of triples a number can have, and there are some interesting patterns showing up. On the x axis is the number itself, and on the y axis is the number of triples it can form.


There are lines, starting at 1 triple and going up in 4’s, where there are many triples, so it isn’t entirely random. This is interesting because the number of triples is determined by the prime numbers, so you would expect a lot of randomness, but there is some order to it.