Tetrahedra with congruent face pairs
Metric Geometry
2022-11-01 v2
Abstract
If the four triangular facets of a tetrahedron can be partitioned into pairs having the same area, then the triangles in each pair must be congruent to one another. A Heron-style formula is then derived for the volume of a tetrahedron having this kind of symmetry.
Cite
@article{arxiv.2112.14918,
title = {Tetrahedra with congruent face pairs},
author = {Daniel A. Klain},
journal= {arXiv preprint arXiv:2112.14918},
year = {2022}
}
Comments
9 pages, 3 figures