Wirkungsbereichspolyeder und Wirkungsbereichsteilungen zu kubischen Gitterkomplexen mit weniger als drei Freiheitsgraden

Dirichlet domains have been studied for all cubic lattice complexes with less t han three degrees of freedom. The method of their derivation is described here. 117 types of polyhedra and 143 types of space part i t ions have been found. Detailed results are given for two lattice complexes as examples. I t could be shown t h a t a method proposed by NOWACKI (1935) will not yield all possible homogeneous space partit ions into Dirichlet domains.