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Please use this identifier to cite or link to this item: http://hdl.handle.net/1959.13/42850

Title: Rational tetrahedra with edges in geometric progression
Author/Creator: Chisholm, C.; MacDougall, James A.
Institution: The University of Newcastle. Faculty of Faculty of Science & Information Technology, School of Mathematical and Physical Sciences
Description: This paper discusses tetrahedra with rational edges forming a geometric progression, focussing on whether they can have rational volume or rational face areas. We examine the 30 possible configurations of such tetrahedra and show that no face of any of these has rational area. We show that 28 of these configurations cannot have rational volume, and in the remaining two cases there are at most six possible examples, and none have been found.
Relation: Journal of Number Theory Vol. 128, Issue 2, p. 251-262
Publisher Link: http://dx.doi.org/10.1016/j.jnt.2007.07.002
Date: 2008
Publisher: Academic Press
Keyword(s): tetrahedra; rational edges
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.13/42850
Identifier: ISSN:0022-314X

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