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 "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.

See also

* Rhombohedral - crystal system

External links

* [http://octettruss.kilu.de/goldenrhombohedron.html "golden" rhombohedron]
* [http://octettruss.kilu.de/silverrhombohedron.html "silver" rhombohedron]

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См. также в других словарях:

  • Rhombohedron — Rhom bo*he dron, n. [NL., fr. Gr. ??? rhomb + ??? seat, base.] (Geom. & Crystallog.) A solid contained by six rhomboids; a parallelopiped. [1913 Webster] …   The Collaborative International Dictionary of English

  • rhombohedron — [räm΄bə hē′drən] n. pl. rhombohedrons or rhombohedra [räm΄bə hē′drə] [ModL: see RHOMBUS & HEDRON] a six sided prism each face of which is a rhombus …   English World dictionary

  • rhombohedron — romboedras statusas T sritis fizika atitikmenys: angl. rhombohedron vok. Rhomboeder, n rus. ромбоэдр, m pranc. rhomboèdre, m …   Fizikos terminų žodynas

  • rhombohedron — noun (plural drons or rhombohedra) Etymology: New Latin Date: 1836 a parallelepiped whose faces are rhombuses • rhombohedral adjective …   New Collegiate Dictionary

  • rhombohedron — rhombohedral, adj. /rom beuh hee dreuhn/, n., pl. rhombohedrons, rhombohedra / dreuh/. a solid bounded by six rhombic planes. [1830 40; < Gk rhómbo(s) RHOMBUS + HEDRON] * * * …   Universalium

  • rhombohedron — noun A prism with six faces, each a rhombus …   Wiktionary

  • rhombohedron — rhom·bo·he·dron || ‚rÉ‘mbəʊ hedrÉ™n , hɪː /‚rÉ’m n. polyhedron whose faces are six equal rhombuses …   English contemporary dictionary

  • rhombohedron —    A polyhedron with six two dimensional faces, each a rhombus. Also see mathematics, polygon, and vertex …   Glossary of Art Terms

  • rhombohedron — [ˌrɒmbə(ʊ) hi:dr(ə)n, hɛd ] noun (plural rhombohedra drə or rhombohedrons) a solid figure whose faces are six equal rhombuses. Derivatives rhombohedral adjective Origin C19: from rhombus + …   English new terms dictionary

  • rhombohedron — rhom·bo·he·dron …   English syllables

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