Glasnik Matematicki, Vol. 48, No. 1 (2013), 23-29.

COMPUTATION OF PERFECT "ALMOST-CUBOIDS"

Allan J. MacLeod

Statistics, O.R. and Mathematics Group, University of the West of Scotland, High St., Paisley, Scotland. PA1 2BE
e-mail: allan.macleod@uws.ac.uk

Abstract.   We discuss generating parallelepipeds, with 4 rectangular faces, which have rational lengths and all face and space diagonals also rational.

2010 Mathematics Subject Classification.   11D25, 11Y50.

Key words and phrases.   Perfect cuboids, parallelipipeds, elliptic curves, descent.

Full text (PDF) (free access)

DOI: 10.3336/gm.48.1.02

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