The Computing of Pythagoras Triples in Symbolic 2-Plithogenic Rings

Abstract

This paper is dedicated to finding a general algorithm for generating different solutions for Pythagoras' non-linear Diophantine equation in four variables 𝑥 2 + 𝑦 2 = 𝑧 2 in symbolic 2-plithogenic rings, which are known as Pythagoras triples. Also, we present some examples of those triples in some finite symbolic 2-plithogenic rings.

Keywords

• symbolic 2-plithogenic ring
• pythagoras triples
• diophantine equations