The rational cuboid and a quartic surface
type: Item
instance of: scholarly article
title: The rational cuboid and a quartic surface
zbMATH Open document ID: 0648.10011
DOI: 10.1216/RMJ-1988-18-1-105
author: Andrew Bremner
published in: Rocky Mountain Journal of Mathematics
publication date: 1988-01-01T00:00:00Z
review text: Den Lösungen des diophantischen Gleichungssystems (*) \(x^ 2+y^ 2=r^ 2\), \(y^ 2+z^ 2=s^ 2\), \(z^ 2+x^ 2=t^ 2\) entsprechen Quader, deren Kanten und Flächendiagonalen sämtlich ganz sind. Verf. interpretiert (*) als Schnitt von drei Quadriken in einem fünfdimensionalen projektiven Raum und gelangt so neben bereits bekannten zu neuen Parametrisierungen der Lösungen von (*).
reviewed by: François Fricker
Mathematics Subject Classification ID: 11D09
Mathematics Subject Classification ID: 14J25
zbMATH DE Number: 4057599
zbMATH Keywords: parametric solutions
zbMATH Keywords: system of quadratic diophantine equations
zbMATH Keywords: rectangular parallelepiped
zbMATH Keywords: integral edges and face diagonals
zbMATH Keywords: intersection of three quadrics in five-dimensional projective space
MaRDI profile type: Publication
full work available at URL: rmj-1988-18-1-105
OpenAlex ID: W2014809373
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description: scientific article; zbMATH DE number 4057599