Tetrahedra with congruent face pairs
arXiv:2112.14918
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.
9 pages, 3 figures