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.

pol′y·he′dral adj.
American Heritage® Dictionary of the English Language, Fifth Edition. Copyright © 2016 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

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
Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014

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.
Random House Kernerman Webster's College Dictionary, © 2010 K Dictionaries Ltd. Copyright 2005, 1997, 1991 by Random House, Inc. All rights reserved.

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.
The American Heritage® Student Science Dictionary, Second Edition. Copyright © 2014 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.
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
Based on WordNet 3.0, Farlex clipart collection. © 2003-2012 Princeton University, Farlex Inc.
Translations
mnohostěn
monitahokas
wielościan
polyeder

polyhedron

[ˌpɒlɪˈhiːdrən] N (polyhedrons or polyhedra (pl)) [ˌpɒlɪˈhiːdrə]poliedro m
Collins Spanish Dictionary - Complete and Unabridged 8th Edition 2005 © William Collins Sons & Co. Ltd. 1971, 1988 © HarperCollins Publishers 1992, 1993, 1996, 1997, 2000, 2003, 2005

polyhedron

nPolyeder nt, → Vielflächner m
Collins German Dictionary – Complete and Unabridged 7th Edition 2005. © William Collins Sons & Co. Ltd. 1980 © HarperCollins Publishers 1991, 1997, 1999, 2004, 2005, 2007

polyhedron

[ˌpɒlɪˈhiːdrən] npoliedro
Collins Italian Dictionary 1st Edition © HarperCollins Publishers 1995
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 [8], 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.