Simplices whose dihedral angles are all rational multiples of \(\pi\), and related topics

DOI10.1007/s10474-018-0813-zzbMath1413.51012OpenAlexW2790018309MaRDI QIDQ722346

Horst Martini, Hiroshi Maehara

Publication date: 23 July 2018

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-018-0813-z

zbMATH Keywords

elementary functiondihedral angle\(\pi\)-independent numberHill-simplexidentity theoremouter normal transformation

Mathematics Subject Classification ID

(n)-dimensional polytopes (52B11) Polyhedra and polytopes; regular figures, division of spaces (51M20) Combinatorial aspects of tessellation and tiling problems (05B45) Tilings in (2) dimensions (aspects of discrete geometry) (52C20)

Cites Work

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• Edge lengths guaranteed to form a simplex
• When is a Hill-simplex reflection-symmetric?
• Outer normal transforms of convex polytopes
• Generating Polygons with Triangles
• Distance Sums on a Sphere and Angle Sums in a Simplex
• The Sums of the Dihedral and Trihedral Angles in a Tetrahedron

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