On the symmetry of 9- and 10-hedra.
The symmetry point groups for all combinatorially non-isomorphic 9- and 10-hedra (2606 and 32300, respectively) are contributed in the paper for the first time. The most symmetrical polyhedra of 3 to 32 automorphism group orders (50 and 187, respectively) are drawn in the Schlegel projections 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, Russian Academy of Sciences, Russia. voyt@geoksc.apatity.ru
Stepenshchikov
Dmitry G
DG