Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9496523 | Journal of Number Theory | 2005 | 24 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
C. Chisholm, J.A. MacDougall,