A general rational solution of an equation associated with perfect cuboids

2012/07/23 by John Ramsden, Ramsden, John R. · 5 citations
Computer Science · Engineering · Mathematics · #11D25 #11D72 #Advanced Numerical Analysis Techniques #Commutative Algebra and Its Applications #FOS: Mathematics #Number Theory (math.NT) #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.1207.5339

openalex publication_date 2012/07/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show by finding an explicit parametrization that a 4th degree surface which arises as a necessary condition for the existence of a perfect cuboid is a rational surface, i.e. birationally equivalent over \mathbb Q to a plane.

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