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On the enumeration of the simple 3-polyhedra
1Laboratory of Crystallography, University of Berne, Freiestrasse 3, Switzerland. peter.engel@krist.unibe.ch
Acta Crystallographica. Section A, Foundations of Crystallography
|December 24, 2002
Abstract:
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.