polyhedron (redirected from 3-polytope)

pol·y·he·dron  (pl-hdrn)

n. pl. pol·y·he·drons or pol·y·he·dra (-dr)

A solid bounded by polygons.

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poly·hedral adj.

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polyhedron [ˌpɒlɪˈhiːdrən]

n pl -drons, -dra [-drə]

(Mathematics) a solid figure consisting of four or more plane faces (all polygons), pairs of which meet along an edge, three or more edges meeting at a vertex. In a regular polyhedron all the faces are identical regular polygons making equal angles with each other. Specific polyhedrons are named according to the number of faces, such as tetrahedron, icosahedron, etc.

[from Greek poluedron, from poly- + hedron side, base]

polyhedral  adj

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polyhedron  (pl-hdrn)

Plural polyhedrons or polyhedra

A three-dimensional geometric figure whose sides are polygons. A tetrahedron, for example, is a polyhedron having four triangular sides. A regular polyhedron is a polyhedron whose faces are all congruent regular polygons. The regular tetrahedron (pyramid), hexahedron (cube), octahedron, dodecahedron, and icosahedron are the five regular polyhedrons. Regular polyhedrons are a type of Archimedean solid.

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polyhedral adjective

Thesaurus

Noun

1.

polyhedron - a solid figure bounded by plane polygons or faces solid - a three-dimensional shape convex polyhedron - a polyhedron any plane section of which is a convex polygon concave polyhedron - a polyhedron some of whose plane sections are concave polygons prism - a polyhedron with two congruent and parallel faces (the bases) and whose lateral faces are parallelograms pyramid - a polyhedron having a polygonal base and triangular sides with a common vertex tetrahedron - any polyhedron having four plane faces pentahedron - any polyhedron having five plane faces hexahedron - any polyhedron having six plane faces octahedron - any polyhedron having eight plane faces decahedron - any polyhedron having ten plane faces dodecahedron - any polyhedron having twelve plane faces icosahedron - any polyhedron having twenty plane faces ideal solid, Platonic body, Platonic solid, regular convex polyhedron, regular convex solid, regular polyhedron - any one of five solids whose faces are congruent regular polygons and whose polyhedral angles are all congruent prismatoid - a polyhedron whose vertices all lie in one or the other of two parallel planes; the faces that lie in those planes are the bases of the prismatoid trapezohedron - a polyhedron whose faces are trapeziums

Translations

polyhedron [ˌpɒlɪˈhiːdrən] N (polyhedrons or polyhedra (pl)) [ˌpɒlɪˈhiːdrə] → poliedro m

polyhedron

n → Polyeder nt, → Vielflächner m

polyhedron [ˌpɒlɪˈhiːdrən] n → poliedro