2022/06/08 by IVOR LLOYD, Lloyd, Ivor
Computer Science · Engineering · #Computability, Logic, AI Algorithms #FOS: Mathematics #General Mathematics (math.GM) #graph theory and CDMA systems
paper · pdf · doi:10.48550/arxiv.2206.06160
openalex publication_date 2022/06/08 · openalex created_date 2022/06/16 · openalex updated_date 2026/07/28
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.