On the symmetry of simple 16-hedra.
The symmetry point group statistics for all combinatorially non-isomorphic convex simple 16-hedra (17490241 in total) are contributed in the paper for the first time. The most symmetrical polyhedra with 6 to 56 automorphism group orders (165 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