The variety of convex 12-hedra revised

Acta Crystallogr A. 2005 Nov;61(Pt 6):581-3. doi: 10.1107/S0108767305028667. Epub 2005 Oct 22.

Abstract

The symmetry point group statistics for all combinatorially non-isomorphic convex 12-hedra (6384634 in total) are contributed in the paper. The numbers of 12-hedra with 11 to 19 vertices are revised. The most symmetrical shapes with 6 to 120 automorphism group orders (115 in total) are drawn in Schlegel diagrams and characterized by facet symbols and symmetry point groups.