Acta Crystallographica Section A

Foundations of Crystallography

Volume 59, Part 2 (March 2003)

short communications

Acta Cryst. (2003). A59, 195-198 [ doi:10.1107/S010876730202367X ]

On the symmetry of 11-hedra

Y. L. Voytekhovsky and D. G. Stepenshchikov

Abstract: 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.

Keywords: polyhedra; symmetry point groups.