RHOMBOHEDRON

Rhombohedron
Rhombohedron
Type	Prism
Faces	6 rhombi
Edges	12
Vertices	8
Symmetry group	''C''''i''
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, 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 ''C''_''2h''), and a special case of that, where there is another plane of symmetry through the other four vertices (with symmetry group ''D''_''2h'').
The cube combines these special properties, and so is a special case of the rhombohedron.

Contents

See also

External links

See also

★ Rhombohedral - crystal system

External links

★