Manchmal interessieren uns mehr die kombinatorischen Beziehungen zwischen den Bestandteilen eines Polytops als das ganze Polytop, betrachtet alsn-dimensionaler Körper. László Fejes Tóth, Reguläre Figuren, Das allgemeine reguläre Polytop, S. 128
Abstract
We investigate simplicial 3-manifolds, in particular 3-spheres, with few vertices such that the links of all vertices are combinatorially equivalent (equilinked 3-spheres), and, simple 3-manifolds, in particular 3-spheres, with few facets such that all facets are combinatorially equivalent (equifacetted 3-spheres).
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Bokowski, J., Schuchert, P. Equifacetted 3-spheres as topes of nonpolytopal matroid polytopes. Discrete Comput Geom 13, 347–361 (1995). https://doi.org/10.1007/BF02574049
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DOI: https://doi.org/10.1007/BF02574049