On the symmetry of simple 12- and 13-hedra.
The symmetry point groups for all combinatorially non-isomorphic simple 12- and 13-hedra (7595 and 49566, respectively) are contributed in the paper for the first time. The most symmetrical polyhedra with automorphism group orders not less than 3 are drawn as Schlegel diagrams and characterized by the 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