Can I read Inverse Problems Associated with Perfect Cuboids on EtoBox?

Inverse Problems Associated with Perfect Cuboids by Ramsden, John; Sharipov, Ruslan is a scholarly article available to read on EtoBox.

What is Inverse Problems Associated with Perfect Cuboids about?

A perfect cuboid is a rectangular parallelepiped with integer edges, integer face diagonals, and integer space diagonal. Such cuboids have not yet been found, but nor has their existence been disproved. Perfect cuboids are described by a certain system of Diophantine equations possessing an intrinsic $S_3$ symmetry. Recently these equations were factorized with respect to this $S_3$ symmetry and the factor equations were transformed into $E$-form. As appears, the transformed factor equations are explicitly solvable. Based on this solution, polynomial inverse problems are formulated in the present paper.

Author

Ramsden, John; Sharipov, Ruslan

Published

2012

Language

EN