Perfect cuboid, primitive Pythagorean triples and Eulerian parallelepipeds. Dynamics of construction

2022/03/02 by Aleshkevich, Natalia
#11A67 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2203.01149

Abstract

One unsolved mathematical problem remains the perfect cuboid problem. A perfect cuboid is a rectangular parallelepiped whose edges, face diagonals and space diagonal are all expressed as integers. No such cuboid has yet been discovered and its existence has also not been proven. This paper shows a proof of the non-existence of a perfect cuboid.

Related

• No Perfect Cuboid
• On Walter Wyss's no perfect cuboid paper
• The Non-existence of Perfect Cuboid
• A strategy of numeric search for perfect cuboids in the case of the second cuboid conjecture
• Inverse problems associated with perfect cuboids