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Rational tetrahedra with edges in arithmetic progression
Authors:C Chisholm
Institution:School of Mathematical and Physical Sciences, University of Newcastle, NSW 2308, Australia
Abstract:This paper discusses tetrahedra with rational edges forming an arithmetic progression, focussing specifically on whether they can have rational volume or rational face areas. Several infinite families are found which have rational volume, a face can have rational area only if its edges are themselves in arithmetic progression, and a tetrahedron can have at most one such rational face area.
Keywords:primary 11D25  secondary 51M25
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