On the enumeration of the simple 3-polyhedra.
It will be proved that the simple 3-polyhedra with f + 1 facets are obtained from all simple 3-polyhedra with f facets by 2-face splits. The numbers of combinatorial types of simple 3-polyhedra with up to 15 facets are stated with respect to their automorphism group order.
Engel
Peter
P
Laboratory of Crystallography, University of Berne, Freiestrasse 3, Switzerland. peter.engel@krist.unibe.ch