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 spaceCategory:51M20