2020/05/14 by S. Maiti, Maiti, S.
Computer Science · #Advanced Algebra and Logic #Computability, Logic, AI Algorithms #FOS: Mathematics #General Mathematics (math.GM) #semigroups and automata theory
paper · pdf · doi:10.48550/arxiv.2005.07514
openalex publication_date 2020/05/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A perfect cuboid, popularly known as a perfect Euler brick/a perfect box, is a cuboid having integer side lengths, integer face diagonals and an integer space diagonal. Euler provided an example where only the body diagonal became deficient for an integer value but it is known as an Euler brick. Nobody has discovered any perfect cuboid, however many of us have tried it. The results of this research paper prove that there exists no perfect cuboid.