- Title
- Rational tetrahedra with edges in arithmetic progression
- Creator
- Chisholm, Catherine; MacDougall, James A.
- 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
- Publisher
- Academic Press
- Resource Type
- journal article
- Date
- 2005
- 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.
- Subject
- rational tetrahedra; heron tetrahedra
- Identifier
- uon:122
- Identifier
- http://hdl.handle.net/1959.13/25191
- Identifier
- ISSN:1096-1658
- Language
- eng
- Reviewed
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