Some Inherent Properties of Pythagorean Triples

Abstract

This article revisits the topic of Pythagorean triples with a different perspective. While several methods have been explored to generate Pythagorean triples, none of them is complete in terms of generating all the triples without repetitions. Indeed, many existing methods concentrate on generating primitive triples but do not cater to non-primitives. Also study focused to Geometric Series representation of Set of Pythagorean triples and its relation with above Length of Pythagorean triples.