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Regular 4‐polytopes related to general orthogonal groups
Author(s) -
Monson B.,
Weiss Asia Ivić
Publication year - 1990
Publication title -
mathematika
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.955
H-Index - 29
eISSN - 2041-7942
pISSN - 0025-5793
DOI - 10.1112/s0025579300012845
Subject(s) - mathematics , polytope , combinatorics , vertex (graph theory) , polyhedron , prime (order theory) , realization (probability) , graph , statistics
Abstract For each odd prime p there is a finite regular abstract 4‐dimensional polytope of type {3, 3, p }. Its cells are simplices, and its vertex figures belong to an infinite family of regular polyhedra. We also give a geometric realization for these polytopes.