Multiply & Diophantine Equation with Quaternions

Introduction

Multiplies Quaternions, and uses them to Solve Sum of Squares Diophantine Equations

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Details

Quaternions are four-dimensional numbers, that can both be added and multiplied. Besides a 'real' part, there are parts in i, j, and k, where i^2=-1, j^2=-1 and k^2=-1. Because their 'modulus' (square root of sum of squares of the 'real' part, and parts in i, j and k), is multiplied, when two quaternions are multiplied, this can be used to solve 'sum of squares' Diophantine Equations. (To be solved in whole numbers.)

RISC OS Compatibility

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