1. CJM 1999 (vol 51 pp. 1230)
|Symmetric Tessellations on Euclidean Space-Forms |
It is shown here that, for $n \geq 2$, the $n$-torus is the only $n$-dimensional compact euclidean space-form which can admit a regular or chiral tessellation. Further, such a tessellation can only be chiral if $n = 2$.
Keywords:polyhedra and polytopes, regular figures, division of space