polyhedron

(redirected from polyhedrons)
Also found in: Thesaurus, Encyclopedia.

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.

pol′y·he′dral adj.

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]
ˌpolyˈhedral adj

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′dral, adj.

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:
Noun1.polyhedron - a solid figure bounded by plane polygons or facespolyhedron - 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
mnohostěn
monitahokas
wielościan
polyeder

polyhedron

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

polyhedron

nPolyeder nt, → Vielflächner m

polyhedron

[ˌpɒlɪˈhiːdrən] npoliedro
References in periodicals archive ?
3D shapes with curved faces, such as cylinders and cones, are not polyhedrons due to their circular bases.
Whether you choose basic shapes like triangles or complex polyhedrons, geometrics add a sleek and modern finish to any room and are often used to make a style statement or create a feature wall.
These items are rendered with a feverish pencil latticing that looks remarkably similar to the trusswork of radio towers or the faceted polyhedrons of geodesic domes.
Choppers and polyhedrons tend to be slightly larger than other cores with a mean length of 37.
This, however, can not be used for the case of nonconvex polyhedrons.
If we consider the input sets restricted as polyhedrons, the problem is formulated mathematically as follows:
Each lepton group represents the binary rotational symmetries of familiar 3-D regular polyhedrons, the tetrahedron, the octahedron, and the icosahedron.
The tin oxide film was deposited at 600[degrees]C produced large pyramidal polyhedrons (Fig.
Among specific topics are regular polyhedrons, hyperbolic Fibonacci and Lucas functions, algorithmic measurement theory, ternary mirror-symmetrical arithmetic, and a new coding theory based on a matrix approach.
for what convex intersections of polyhedrons available alternatives become indifferent or get classified/sorted into the same category.
Then again, at least it's not some abstract load of old cobblers like a pyramidal stack of polyhedrons pierced by a laser-beam that would turn the Garden of England into a sight resembling a mid-period Pink Floyd album cover.
The collection has been divided into three groups: Theme & Variations, which includes various views and expressions of the face, as well as representations of other areas of the body; Architectural Motifs, carried out via courtyards, polyhedrons and various interpretations of geometric forms; and Nature & Things, which depicts both earthly and heavenly entities in dreamlike and humorous settings.