The variety of convex 12-hedra revised.
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.
Voytekhovsky
Yury L
YL
Laboratory for Mineralogy, Geological Institute of the Kola Science Centre, Russian Academy of Sciences, 14 Fersman Street, 184209 Apatity, Russia. voyt@geoksc.apatity.ru
Stepenshchikov
Dmitry G
DG