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Stereohedron

In geometry and crystallography, a stereohedron is a convex polyhedron that fills space isohedrally, meaning that the symmetries of the tiling take any copy of the stereohedron to any other copy.

Plesiohedra
A subset of stereohedra are called plesiohedrons, defined as the Voronoi cells of a symmetric Delone set. Parallelohedrons are plesiohedra which are space-filling by translation only. Edges here are colored as parallel vectors. ==Other periodic stereohedra==
Other periodic stereohedra
The catoptric tessellation contain stereohedra cells. Dihedral angles are integer divisors of 180°, and are colored by their order. The first three are the fundamental domains of {\tilde{C}}_3, {\tilde{B}}_3, and {\tilde{A}}_3 symmetry, represented by Coxeter-Dynkin diagrams: , and . {\tilde{B}}_3 is a half symmetry of {\tilde{C}}_3, and {\tilde{A}}_3 is a quarter symmetry. Any space-filling stereohedra with symmetry elements can be dissected into smaller identical cells which are also stereohedra. The name modifiers below, half, quarter, and eighth represent such dissections. Other convex polyhedra that are stereohedra but not parallelohedra nor plesiohedra include the gyrobifastigium. == References==
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