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.
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
Yury L
YL
Voytekhovsky
Dmitry G
DG
Stepenshchikov