2021/12/30 by Daniel A. Klain, Klain, Daniel A.
Engineering · Mathematics · #52A38 #52B10 #52B12 #52B15 #Advanced Theoretical and Applied Studies in Material Sciences and Geometry #FOS: Mathematics #Mathematics and Applications #Metric Geometry (math.MG)
paper · pdf · doi:10.48550/arxiv.2112.14918
openalex publication_date 2021/12/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.