On Walter Wyss's no perfect cuboid paper

TL;DR

This paper critically examines Walter Wyss's recent claim of solving the longstanding perfect cuboid problem, which involves finding a rectangular box with all edges and diagonals of integer length.

Contribution

The paper evaluates the validity of Walter Wyss's claimed solution to the perfect cuboid problem, providing an analysis of his approach and results.

Findings

Wyss's claim is critically assessed and found to lack conclusive proof.

The paper clarifies the current status of the perfect cuboid problem.

No new perfect cuboid solutions are presented or verified.

Abstract

The perfect cuboid problem is an old famous unsolved problem in mathematics concerning the existence or non-existence of a rectangular parallelepiped whose edges, face diagonals, and space diagonal are of integer lengths. Recently Walter Wyss has published a paper [arXiv:1506.02215] claiming a solution of this problem. The purpose of this paper is to check out Walter Wyss's result.