There is no Perfect Cuboid
General Mathematics
2024-01-17 v3
Abstract
A perfect cuboid is formed when an Euler brick whose edges and face diagonals are all integers also has an integer internal diagonal. It is known that if a perfect cuboid exists the internal diagonal is odd. No perfect cuboid has been found. This simple proof shows that the internal diaogonal of an Euler brick cannot be an odd integer.
Keywords
Cite
@article{arxiv.2206.06160,
title = {There is no Perfect Cuboid},
author = {Ivor Lloyd},
journal= {arXiv preprint arXiv:2206.06160},
year = {2024}
}
Comments
Revised solution