2021/09/15 by Joseph O’Rourke, O'Rourke, Joseph
Mathematics · #51M20 #52B05 #F.2.2 #FOS: Mathematics #G.2.2 #Geometric and Algebraic Topology #History and Theory of Mathematics #Mathematics and Applications #Metric Geometry (math.MG)
paper · pdf · doi:10.48550/arxiv.2109.07444
openalex publication_date 2021/09/15 · openalex created_date 2021/09/27 · openalex updated_date 2026/07/28
We prove that every tetrahedron T has a simple, closed quasigeodesic that passes through three vertices of T. Equivalently, every T has a face whose "exterior angles" are at most pi.