Abstract
The concept of regular incidence-complexes generalizes the notion of regular polyhedra in a combinatorial sense. A regular incidence-complex is a partially ordered set with regularity defined by certain transitivity properties of its automorphism group. The concept includes all regular d-polytopes and all regular complex d-polytopes as well as many geometries and well-known configurations.
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Danzer, L., Schulte, E. Reguläre Inzidenzkomplexe I. Geom Dedicata 13, 295–308 (1982). https://doi.org/10.1007/BF00148235
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DOI: https://doi.org/10.1007/BF00148235