# polyhedron

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Related to polyhedra: Regular polyhedra

## pol·y·he·dron

(pŏl′ē-hē′drən)
n. pl. pol·y·he·drons or pol·y·he·dra (-drə)
A solid bounded by polygons.

## polyhedron

(ˌpɒlɪˈhiːdrən)
n, pl -drons or -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
[C16: from Greek poluedron, from poly- + hedron side, base]

## pol•y•he•dron

(ˌpɒl iˈhi drən)

n., pl. -drons, -dra (-drə).
a solid figure having many faces.
[1560–70; < Greek polýedron, neuter of polýedros having many bases. See poly-, -hedron]

## pol·y·he·dron

(pŏl′ē-hē′drən)
A three-dimensional geometric figure whose sides are polygons. A tetrahedron, for example, is a polyhedron having four triangular sides.
ThesaurusAntonymsRelated WordsSynonymsLegend:
 Noun 1 polyhedron - a solid figure bounded by plane polygons or facessolid - a three-dimensional shapeconvex polyhedron - a polyhedron any plane section of which is a convex polygonconcave polyhedron - a polyhedron some of whose plane sections are concave polygonsprism - a polyhedron with two congruent and parallel faces (the bases) and whose lateral faces are parallelogramspyramid - a polyhedron having a polygonal base and triangular sides with a common vertextetrahedron - any polyhedron having four plane facespentahedron - any polyhedron having five plane faceshexahedron - any polyhedron having six plane facesoctahedron - any polyhedron having eight plane facesdecahedron - any polyhedron having ten plane facesdodecahedron - any polyhedron having twelve plane facesicosahedron - any polyhedron having twenty plane facesideal 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 congruentprismatoid - 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 prismatoidtrapezohedron - a polyhedron whose faces are trapeziums
Translations
mnohostěn
monitahokas
wielościan
polyeder

## polyhedron

[ˌpɒlɪˈhiːdrən] N (polyhedrons or polyhedra (pl)) [ˌpɒlɪˈhiːdrə]

## polyhedron

nPolyeder nt, → Vielflächner m

## polyhedron

[ˌpɒlɪˈhiːdrən] npoliedro
References in periodicals archive ?
Maps can be seen as from polyhedra in origin to graphs in development through abstraction, he says, which is why algebraic graphs are much concerned with the present stage, He covers abstract graphs, abstract maps, duality, orientability, orientable maps, non-orientable maps, isomorphisms of maps, assymetrization, asymmetrized petal bundles, asymmetrized maps, maps within symmetry, genus polynomials, census with partitions, equations with partitions, upper maps of a graph, genera of a graph, isogemial graphs, and surface embeddability.
0, CGM Polyhedra adds surface recognition capabilities which can identify cones, cylinders, spheres, and toroids from tessellated data, providing application developers the ability to convert these to precise representations, where subsequent geometric operations can be performed.
Gross, "A finite element method on convex polyhedra," Computer Graphics Forum, vol.
Carpenter first became interested in polyhedra over 25 years ago, through an undergraduate course at his Alma Mater, the College of William and Mary.
The second edition is revised for clarity and simplification where possible in some proofs, and includes new short sections on linear programming, extreme points for polyhedra, and a Nevanlinna-Pick interpolation problem.
The shapes' flat faces make them convex polyhedra, which are highly symmetric, faceted solids first studied by the ancient Greeks.
ISLAMABAD -- Nearly 400 years after the last class was described, researchers claimed that they may have now invented, a new fourth class which they called Goldberg polyhedra,the daily mail reported.
The SSL module is designed for protecting the communications between the database server and client applications and also between the master and the standby, when Polyhedra is being used in fault-tolerant configurations.
So far, our examples have been integer points in polyhedra.
If I want to spend a week carving fruit up into polyhedra, I want to spend a week carving fruit up into polyhedra, and where am I going to get a job doing that?
Among the topics are oppositely oriented manifolds, the subdivision of polyhedra, internal torsion of manifolds, and three-dimensional cycles.
Nine polyhedra with facet numbers from 4 to 8 are selected in this preliminary shape analysis (see, Fig.

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