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.

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