Pyritohedron

Pyritohedron

, the other one being cubical.

A regular dodecahedron can be formed from a cube in the following way: The top square in the cube is replaced by a "roof" composed of two pentagons, joined along the top of the roof. The diagonals in the pentagons parallel to the top of the roof coincide with two opposite sides of the square. The other five squares are replaced by a pair of pentagons in a similar way. The pyritohedron is constructed by changing the slope of these "roofs".

External links

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* [http://bulatov.org/polyhedra/dodeca270/index.html Stellation of Pyritohedron] VRML models and animations of Pyritohedron and its stellations.


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Look at other dictionaries:

  • Pyritohedron — Pyr i*to*he dron, n. [Pyrite + Gr. ? base.] (Crystallog.) The pentagonal dodecahedron, a common form of pyrite. [1913 Webster] …   The Collaborative International Dictionary of English

  • pyritohedron — pentagoninis dodekaedras statusas T sritis fizika atitikmenys: angl. pentadodecahedron; pentagonal dodecahedron; pyritohedron vok. Pentagondodekaeder, n; Pyritoeder, n rus. пентагональный додекаэдр, m; пентагондодекаэдр, m pranc. dodécaèdre… …   Fizikos terminų žodynas

  • pyritohedron — pyritohedral, adj. /puy ruy teuh hee dreuhn, peuh , puy ruy /, n. Crystall. a crystal form of 12 pentagonal faces. Also called pentagonal dodecahedron. See diag. under dodecahedron. [1865 70; pyrito (comb. form of PYRITE) + HEDRON] * * * …   Universalium

  • pyritohedron — noun a) an irregular dodecahedron, consisting of identical but irregular pentagons b) the shape of a crystal of pyrite …   Wiktionary

  • pyritohedron — py·ri·to·he·dron …   English syllables

  • pyritohedron — drən sometimes ˌdrän noun (plural pyritohedrons or pyritohedra) Etymology: New Latin, from pyrito (from International Scientific Vocabulary …   Useful english dictionary

  • Dodecahedron — Regular Dodecahedron (Click here for rotating model) Type Platonic solid Elements F = 12, E = 30 V = 20 (χ = 2) Faces by sides 12{5} …   Wikipedia

  • Platonic solid — In geometry, a Platonic solid is a convex polyhedron that is regular, in the sense of a regular polygon. Specifically, the faces of a Platonic solid are congruent regular polygons, with the same number of faces meeting at each vertex; thus, all… …   Wikipedia

  • Regular polyhedron — A regular polyhedron is a polyhedron whose faces are congruent (all alike) regular polygons which are assembled in the same way around each vertex. A regular polyhedron is highly symmetrical, being all of edge transitive, vertex transitive and… …   Wikipedia

  • Dodecahedron — Do*dec a*he dron, n. [Gr. ?; ? twelve + ? seat, bottom, base: cf. F. dod[ e]ca[ e]dre.] (Geom. & Crystallog.) A solid having twelve faces. [1913 Webster] Note: The regular dodecahedron is bounded by twelve equal and regular pentagons; the… …   The Collaborative International Dictionary of English

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