# polyhedron

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Related to polyhedron: regular polyhedron

## 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 classic literature ?
Let the reader picture to himself a series of visages presenting successively all geometrical forms, from the triangle to the trapezium, from the cone to the polyhedron; all human expressions, from wrath to lewdness; all ages, from the wrinkles of the new-born babe to the wrinkles of the aged and dying; all religious phantasmagories, from Faun to Beelzebub; all animal profiles, from the maw to the beak, from the jowl to the muzzle.
Others, like field hospital (a normative metaphor Francis uses to describe today's church), encounter (which Francis describes as a "polyhedron" of human connection), and the more lighthearted sourpuss (on people so concerned with rule-following that they lack Christian joy) take us beyond the headlines and offer a wider view of Francis' vision.
One solution consists of maintaining the system trajectory within A-contractive controlled invariant polyhedron set defined in the state space.
If the geometric object is a polygon without a curve or a polyhedron without a surface, the implicit function is accurate; otherwise, the implicit function approximately expresses the geometric object.
McKee, "Synthesis, characterization, crystal structure and oxygen-evolution activity of a mangananese(II) complex with 2,4,6-tris (2-pyridyl)-1,3,5-triazine," Polyhedron, vol.
After deposition, four different nano/microstructures including dispersed particles, rods, nanowires, and polyhedron were found on the substrate.
The 2-D Leibniz method has already been used in clinical practice to study postural balance problems , but the concept of the polyhedron envelope has not been used in clinical practice for the purpose of studying the postural balance problems by three accelerations or three angles.
Colina-Vegas et al., "Heteroleptic tris-chelate ruthenium(II) complexes of N,N-disubstituted-N'-acylthioureas: synthesis, structural studies, cytotoxic activity and confocal microscopy studies," Polyhedron, vol.
(3) Polyhedron. The polyhedron is a set of a finite number of linear equalities and inequalities that restrains the travel demand.
Here, specific representations of [h.sub.K] are considered later in this paper, if [h.sub.K] denotes a star-shaped polyhedron. For simplicity, consideration will be restricted throughout this paper to star bodies having the following property.
We have the following formula for the volume of the polyhedron as
Together with Poincare's Polyhedron Theorem, they are often used to find presentations of discrete groups.

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