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Rhombohedron
Rhombohedron
Type Prism
Faces 6 rhombi
Edges 12
Vertices 8
Symmetry group Ci
Properties convex, zonohedron

In geometry, a rhombohedron is a three-dimensional figure like a cube, except that its faces are not squares but rhombi. It is a special case of a parallelepiped where all edges are the same length.

In general the rhombohedron can have three types of rhombus faces in congruent opposite pairs.

If all of the non-obtuse internal angles of the faces are equal (all faces are same), it can be called a trigonal trapezohedron.

Another special case is that, where there is a plane of symmetry through four vertices (with symmetry group C2h), and a special case of that, where there is another plane of symmetry through the other four vertices (with symmetry group D2h).

The cube combines these special properties, and so is a special case of the rhombohedron.

See also

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