Abstract
The new regular polyhedra, defined and investigated by Branko Grünbaum in [4], and theirn-dimensional generalizations are classified in terms of their symmetry group.
Similar content being viewed by others
References
Coxeter, H. S. M.,Regular polytopes, Third Ed. Dover, New York, 1973.
Danzer, L. andSchulte, E.,Reguläre Inzidenzkomplexe I–III. Universität Dortmund, FB Mathematik, Preprint.
Dress, A.,Regular polytopes and equivariant tesselations from a combinatorial point of view. Universität Bielefeld, Fakultät für Mathematik, Research Announcement, Preprint.
Grünbaum, B.,Regular polyhedra — old and new. Aequationes Math.16 (1977), 1–20.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Dress, A.W.M. A combinatorial theory of Grünbaum's new regular polyhedra, part I: Grünbaum's new regular polyhedra and their automorphism group. Aeq. Math. 23, 252–265 (1981). https://doi.org/10.1007/BF02188039
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02188039