Face Numbers of 4-Polytopes and 3-Spheres

Abstract

Steinitz (1906) gave a remarkably simple and explicit description of the set of all f -vectors f(P ) = (f0, f1, f2) of all 3-dimensional convex polytopes. His result also identifies the simple and the simplicial 3-dimensional polytopes as the only extreme cases. Moreover, it can be extended to strongly regular CW 2-spheres (topological objects), and further… (More)

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Cite this paper

@inproceedings{Ziegler2002FaceNO, title={Face Numbers of 4-Polytopes and 3-Spheres}, author={G{\"u}nter M. Ziegler}, year={2002} }