- Title
- Rational tetrahedra with edges in geometric progression
- Creator
- Chisholm, C.; MacDougall, James A.
- 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
- Publisher
- Academic Press
- Resource Type
- journal article
- Date
- 2008
- 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.
- Subject
- tetrahedra; rational edges
- Identifier
- http://hdl.handle.net/1959.13/42850
- Identifier
- uon:4995
- Identifier
- ISSN:0022-314X
- Language
- eng
- Full Text
- Reviewed
- Hits: 1890
- Visitors: 2452
- Downloads: 338
| Thumbnail | File | Description | Size | Format | |||
|---|---|---|---|---|---|---|---|
| View Details Download | SOURCE1 | Author final version | 166 KB | Adobe Acrobat PDF | View Details Download |