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.

Two-dimensional analogues to the stereohedra are called planigons.

Higher dimensional polytopes can also be stereohedra, while they would more accurately be called stereotopes.

A subset of stereohedra are called plesiohedrons, defined as the Voronoi cells of a symmetric Delone set.

Dihedral angles are integer divisors of 180°, and are colored by their order.

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.