High Quality Content by WIKIPEDIA articles! A zonohedron is a convex polyhedron where every face is a polygon with point symmetry or, equivalently, symmetry under rotations through 180°. ANy zonohedron may equivalently be described as the Minkowski sum of a set of line segments in three-dimensional space, or as the three-dimensional projection of a hypercube. ZOnohedra were originally defined and studied by E. S. FEdorov, a Russian crystallographer. MOre generally, in any dimension, the Minkowski sum of line segments forms a polytope known as a zonotope.