Prev. Article Next Article Table of Contents

Research Article

Lists of Face-Regular Polyhedra

Gunnar Brinkmann^†

Fakultt fr Mathematik, Universitt Bielefeld, D 33501 Bielefeld, Germany

Michel Deza*

CNRS and LIENSDMI, Ecole Normale Suprieure, 75005 Paris, France

J. Chem. Inf. Comput. Sci., 2000, 40 (3), pp 530–541

DOI: 10.1021/ci990034u

Publication Date (Web): November 20, 1999

†

E-mail: gunnar@mathematik.uni-bielefeld.de.

E-mail: deza@dmi.ens.fr.

Abstract

We introduce a new notion that connects the combinatorial concept of regularity with the geometrical notion of face transitivity. This new notion implies finiteness results in the case of bounded maximal face size. We give lists of structures for some classes and investigate polyhedra with constant vertex degrees and faces of only two sizes.

View: Full Text HTML | Hi-Res PDF