Rational cuboid. Searching for solution

2023/10/01 by Boris Safin, Safin, Boris
Computer Science · Engineering · Mathematics · #1404 #Advanced Numerical Analysis Techniques #FOS: Mathematics #General Mathematics (math.GM) #Numerical methods for differential equations #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.2311.11949

openalex publication_date 2023/10/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This article discusses two versions of elliptic equations obtained from a system of equations describing a rational cuboid. Analysis of elliptic equations shows that they are equivalent, and that there are rational points on the elliptic curves, but they do not belong to any right triangle with rational sides.

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