polyhedron

/pol'ee hee"dreuhn/, n., pl. polyhedrons, polyhedra /-dreuh/.
a solid figure having many faces. See illus. under dodecahedron, icosahedron, octahedron, pentahedron, tetrahedron.
[1560-70; < Gk polýedron, neut. of polýedros having many bases. See POLY-, -HEDRON]

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In Euclidean geometry, a three-dimensional object composed of a finite number of polygonal surfaces (faces).

Technically, a polyhedron is the boundary between the interior and exterior of a solid. In general, polyhedrons are named according to number of faces. A tetrahedron has four faces, a pentahedron five, and so on; a cube is a six-sided regular polyhedron (hexahedron) whose faces are squares. The faces meet at line segments called edges, which meet at points called vertices. See also Platonic solid; Euler's formula.

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Universalium. 2010.

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  • Polyhedron — Pol y*he dron, n.; pl. E. {Polyhedrons}., L. {Polyhedra}. [NL., fr. Gr. ? with many seats or sides; poly s many + ? a seat or side: cf. F. poly[ e]dre.] 1. (Geom.) A body or solid contained by many sides or planes. [1913 Webster] 2. (Opt.) A… …   The Collaborative International Dictionary of English

  • Polyhedron —   [engl.], Polyeder …   Universal-Lexikon

  • polyhedron — (n.) 1560s, from Gk. polyedron, neuter of adjective polyedros having many bases or sides, from polys many (see POLY (Cf. poly )) + hedra seat, base, chair, face of a geometric solid, from PIE root *sed to sit (see SEDENTARY (Cf. sedent …   Etymology dictionary

  • polyhedron — ► NOUN (pl. polyhedra or polyhedrons) Geometry ▪ a solid figure with many plane faces, typically more than six. DERIVATIVES polyhedral adjective …   English terms dictionary

  • polyhedron — [päl΄i hē′drən] n. pl. polyhedrons or polyhedra [päl΄i hē′drə] [ModL < Gr polyedron, neut. of polyedros: see POLY & HEDRON] a solid figure, esp. one with more than six plane surfaces: see also PYRAMID polyhedral adj …   English World dictionary

  • Polyhedron — Polyhedra redirects here. For the relational database system, see Polyhedra DBMS. For the game magazine, see Polyhedron (magazine). For the scientific journal, see Polyhedron (journal). Some Polyhedra Dodecahedron (Regular polyhedron) …   Wikipedia

  • polyhedron — UK [ˌpɒlɪˈhiːdrən] / US [ˌpɑlɪˈhɪdrən] noun [countable] Word forms polyhedron : singular polyhedron plural polyhedrons or polyhedra UK [ˌpɒlɪˈhiːdrə] / US [ˌpɑlɪˈhɪdrə] maths a solid shape with many flat sides …   English dictionary

  • polyhedron — poliedras statusas T sritis chemija apibrėžtis Daugiasienis, kurį riboja baigtinis plokščių daugiakampių skaičius. atitikmenys: angl. polyhedron rus. полиэдр …   Chemijos terminų aiškinamasis žodynas

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