Rhombohedron
Polyhedron with six rhombi as faces / From Wikipedia, the free encyclopedia
Dear Wikiwand AI, let's keep it short by simply answering these key questions:
Can you list the top facts and stats about Rhombohedron?
Summarize this article for a 10 year old
In geometry, a rhombohedron (also called a rhombic hexahedron[1] or, inaccurately, a rhomboid[lower-alpha 1]) is a three-dimensional figure with six faces which are rhombi. It is a special case of a parallelepiped where all edges are the same length. It can be used to define the rhombohedral lattice system, a honeycomb with rhombohedral cells. A cube is a special case of a rhombohedron with all sides square.
Rhombohedron | |
---|---|
Type | prism |
Faces | 6 rhombi |
Edges | 12 |
Vertices | 8 |
Symmetry group | Ci , [2+,2+], (×), order 2 |
Properties | convex, equilateral, zonohedron, parallelohedron |
In general a rhombohedron can have up to three types of rhombic faces in congruent opposite pairs, Ci symmetry, order 2.
Four points forming non-adjacent vertices of a rhombohedron necessarily form the four vertices of an orthocentric tetrahedron, and all orthocentric tetrahedra can be formed in this way.[2]
Some crystals are formed in rhombohedron shape; this solid is also sometimes called a rhombic prism.