Definition of Zonohedron. Meaning of Zonohedron. Synonyms of Zonohedron

Here you will find one or more explanations in English for the word Zonohedron. Also in the bottom left of the page several parts of wikipedia pages related to the word Zonohedron and, of course, Zonohedron synonyms and on the right images related to the word Zonohedron.

Definition of Zonohedron

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Meaning of Zonohedron from wikipedia

- In geometry, a zonohedron is a convex polyhedron that is centrally symmetric, every face of which is a polygon that is centrally symmetric (a zonogon)...
- honeycomb. Truncated small rhombicuboctahedron Beveled cuboctahedron As a zonohedron, it can be constructed with all but 12 octagons as regular polygons. It...
- stellation. Some are listed in the list of Wenninger polyhedron models. A zonohedron is a convex polyhedron in which every face is a polygon that is symmetric...
- classes of polyhedra: Platonic solid, regular polyhedron, parallelohedron, zonohedron, and plesiohedron. The dual polyhedron of a cube is the regular octahedron...
- types of vertices surrounding this face. The rhombic icosahedron is a zonohedron. The rhombic icosahedron has 5 sets of 8 parallel edges, described as...
- centrally symmetric with symmetric faces, making it a special case of a zonohedron. Each parallelohedron is also a stereohedron, a polyhedron that tiles...
- transformations). Since each face has point symmetry, a parallelepiped is a zonohedron. Also the whole parallelepiped has point symmetry Ci (see also triclinic)...
- each of its faces has point symmetry the truncated octahedron is a 6-zonohedron. It is also the Goldberg polyhedron GIV(1,1), containing square and hexagonal...
- called generators. In this connection, each pair of opposite faces of a zonohedron corresponds to a crossing point of an arrangement of lines in the projective...
- (equivalently, 180° rotational symmetry), the truncated icosidodecahedron is a 15-zonohedron. The name great rhombicosidodecahedron refers to the relationship with...