Determination of the element numbers of the regular polytopes

DOI10.1007/S10711-011-9647-3zbMath1247.52008OpenAlexW2008545469MaRDI QIDQ438929

Sin Hitotumatu, Jin Akiyama, Ikuro Sato

Publication date: 31 July 2012

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10711-011-9647-3

zbMATH Keywords

tessellationDehn invariant\(n\)-regular polytopeselement numberelement set

Mathematics Subject Classification ID

Combinatorial properties of polytopes and polyhedra (number of faces, shortest paths, etc.) (52B05) (n)-dimensional polytopes (52B11) Dissections and valuations (Hilbert's third problem, etc.) (52B45)

Cites Work

• Unnamed Item
• Element number of the Platonic solids
• The element number of the convex regular polytopes
• Integral Cayley numbers

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