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Please use this identifier to cite or link to this item: http://hdl.handle.net/1959.13/25191

Title: Rational tetrahedra with edges in arithmetic progression
Author/Creator: Chisholm, Catherine; MacDougall, James A.
Description: 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.
Relation: Journal of Number Theory Vol. 111, no. 1, p. 57-80
Publisher Link: http://dx.doi.org/10.1016/j.jnt.2004.07.009
Date: 2005
Publisher: Academic Press
Keyword(s): rational tetrahedra; heron tetrahedra
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.13/25191
Identifier: ISSN:1096-1658
Language: eng

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