# Stereohedron

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A convex polyhedron in a regular decomposition of space into equal polyhedra, i.e. convex fundamental domains of arbitrary (Fedorov) groups of motions. The number of different lattices for a regular decomposition of an $n$-dimensional space, in which the stereohedron is adjoined on all its edges (the sides of the fundamental domains), obviously depends only on the dimension $n$ of the space. For $n=3$, the number of edges of the stereohedron does not exceed 390. The classification has been made only for particular forms of stereohedra, for example, parallelohedra (cf. Parallelohedron).

#### References

 [1] , Symmetry designs , Moscow (1980) (In Russian; translated from English) [2] B.N. Delone, N.N. Sandakova, "Theory of stereohedra" Trudy Mat. Inst. Steklov. , 64 (1961) pp. 28–51 (In Russian)