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A zonohedron is a special case of convex polyhedron, in which every face of the polyhedron is a polygon with point symmetry.
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What is a zonotope?
A zonotope is a polytobe formed by the Minkowski sum of a zonohedron's line segments in any direction.
What are the Geometric relations of cube?
Geometric relationsThe cube is unique among the Platonic solids for being able to tile Euclidean space regularly. It is also unique among the Platonic solids in having faces with an even number of sides and, consequently, it is the only member of that group that is a zonohedron (every face has point symmetry).The cube can be cut into 6 identical square pyramids. If these square pyramids are then attached to the faces of a second cube, a rhombic dodecahedronis obtained.
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