On the enumeration of the simple 3-polyhedra

Engel, P.

doi:10.1107/S0108767302018196

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.

Keywords: polyhedra.

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On the enumeration of the simple 3-polyhedra

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