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On the enumeration of the simple 3‐polyhedra

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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Crystallographica Section A Foundations of Crystallography Wiley

On the enumeration of the simple 3‐polyhedra

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References (15)

Publisher
Wiley
Copyright
Copyright © 2003 Wiley Subscription Services, Inc., A Wiley Company
ISSN
0108-7673
eISSN
1600-5724
DOI
10.1107/S0108767302018196
Publisher site
See Article on Publisher Site

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.

Journal

Acta Crystallographica Section A Foundations of CrystallographyWiley

Published: Jan 1, 2003

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