On the symmetry of 11-hedra.
The symmetry point-group statistics for all combinatorially non-isomorphic 11-hedra (440564 in total) are contributed in the paper for the first time. The most symmetrical shapes with 3 to 36 automorphism group orders (305 in total) are drawn in Schlegel projection and characterized by facet symbols and symmetry point groups.
Voytekhovsky
Yury L
YL
Laboratory for Mathematical Investigations in Crystallography, Mineralogy and Petrography, High Technologies Centre, Kola Branch of Petrozavodsk State University, 14 Fersman Street, 184209 Apatity, Russia. voyt@geoksc.apatity.ru
Stepenshchikov
Dmitry G
DG