|Faces||2 + 2 + 2 rhombi|
|Edges||2 + 2 + 2 + 2 + 2 + 2 edges|
|Vertices||2 + 2 + 2 + 2 vertices|
|Measures (edge length 1)|
|Abstract & topological properties|
|Symmetry||S2, order 2|
A rhombohedron or rhombic hexahedron is a polytope with 6 rhombic faces. The rhombohedron is a special case of the parallelepiped where all edges are the same length. It is a zonohedron and can tile Euclidean space in a rhombohedral honeycomb.
Special cases[edit | edit source]
Golden rhombohedra[edit | edit source]
Two of the five golden isozonohedra are rhombohedra. They are called the acute golden rhombohedron and the obtuse golden rhombohedron. They are constructed as rhombohedra with golden rhombi as faces. The acute golden rhombohedron is constructed with an angle of at the apex and the obtuse golden rhombohedron is constructed with an angle of .
The golden rhombohedra with side length 1 have volumes: