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A combinatorial theory of Grünbaum's new regular polyhedra, part I: Grünbaum's new regular polyhedra and their automorphism group

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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.

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References

  1. Coxeter, H. S. M.,Regular polytopes, Third Ed. Dover, New York, 1973.

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  2. Danzer, L. andSchulte, E.,Reguläre Inzidenzkomplexe I–III. Universität Dortmund, FB Mathematik, Preprint.

  3. Dress, A.,Regular polytopes and equivariant tesselations from a combinatorial point of view. Universität Bielefeld, Fakultät für Mathematik, Research Announcement, Preprint.

  4. Grünbaum, B.,Regular polyhedra — old and new. Aequationes Math.16 (1977), 1–20.

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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

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  • DOI: https://doi.org/10.1007/BF02188039

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