I can give some of the basics of Pythagorean Triples.
But a search will give you thousands of references.
A Pythagorean Triple (PT) is a set of natural numbers such that: .
PT's can be generated with: .
. . where are natural numbers and
If have the same parity (both odd or both even),
. . we get multiples of "primitive" (earlier) PT's.
If are not relatively prime (share a common factor),
. . we get multiples of primitive PT's.
This may inspire you to do some exploring on your own.