Four integer parametrizations for the monoclinic Diophantine piped

TL;DR

This paper introduces four new integer parametrizations for the bi-orthogonal monoclinic Diophantine parallelepiped, expanding the understanding of its integer solutions.

Contribution

It provides four explicit integer parametrizations for the monoclinic Diophantine parallelepiped, a novel contribution to the study of such geometric figures.

Findings

Four integer parametrizations are derived.

The parametrizations enable generating solutions systematically.

The work advances the classification of monoclinic Diophantine parallelepipeds.

Abstract

Four integer parametrizations for the bi-orthogonal monoclinic Diophantine parallelepiped are given.