rhombohedron

Also known as rhombic hexahedron, rhomboid

{| class="wikitable" align="right" style="margin-left:10px" width="250" !bgcolor=#e7dcc3 colspan=2|Rhombohedron |- |align=center colspan=2|240px|Rhombohedron |- |bgcolor=#e7dcc3|Type||prism |- |bgcolor=#e7dcc3|Faces||6 rhombi |- |bgcolor=#e7dcc3|Edges||12 |- |bgcolor=#e7dcc3|Vertices||8 |- |bgcolor=#e7dcc3|Symmetry group||Ci , [2+,2+], (×), order 2 |- |bgcolor=#e7dcc3|Properties||convex, equilateral, zonohedron, parallelohedron |}

In the Vinony graph

Within Vinony's link graph, rhombohedron is referenced by 143 other articles, and connects out to Platonic solid, hexagonal crystal system and geometry.

It is catalogued under topics including Prismatoid polyhedra, Space-filling polyhedra and Zonohedra.

Its subject is documented across 34 Wikipedia language editions.

Wikidata facts

Subclass of: parallelepiped
Image: Rhombohedron.svg

Show 5 more facts

Commons category: Rhombohedra
described by source: Granat Encyclopedic Dictionary
maintained by WikiProject: WikiProject Mathematics
has facet polytope: rhombus
studied by: solid geometry

Sources (1)

wikidata.org

via Wikidata · CC0

~4 min read

Encyclopedic overview

8 sections

Contents

Special cases
Solid geometry
Relation to orthocentric tetrahedra
Rhombohedral lattice
See also
Notes
References
External links

In geometry, a rhombohedron (also called a rhombic hexahedron or, inaccurately, a rhomboid) is a special case of a parallelepiped in which all six faces are congruent rhombi. It can be used to define the rhombohedral lattice system, a honeycomb with rhombohedral cells. A rhombohedron has two opposite apices at which all face angles are equal; a prolate rhombohedron has this common angle acute, and an oblate rhombohedron has an obtuse angle at these vertices. A cube is a special case of a rhombohedron with all sides square.

Excerpted from Wikipedia’s “rhombohedron” article, available under the CC BY-SA 4.0 licence.