# tetrahedron

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Related to tetrahedra: regular tetrahedron
tetrahedron

## tet·ra·he·dron

(tĕt′rə-hē′drən)
n. pl. tet·ra·he·drons or tet·ra·he·dra (-drə)
A polyhedron with four faces.

[Greek tetraedron, from neuter of tetraedros, four-faced : tetra-, tetra- + -hedros, sided; see -hedron.]

## tetrahedron

(ˌtɛtrəˈhiːdrən)
n, pl -drons or -dra (-drə)
1. (Mathematics) a solid figure having four plane faces. A regular tetrahedron has faces that are equilateral triangles. See also polyhedron
2. (Mathematics) any object shaped like a tetrahedron
[C16: from New Latin, from Late Greek tetraedron; see tetra-, -hedron]

## tet•ra•he•dron

(ˌtɛ trəˈhi drən)

n., pl. -drons, -dra (-drə).
1. a solid contained by four plane faces; a triangular pyramid.
2. any of various objects resembling a tetrahedron.
[1560–70; < Late Greek tetráedron]

## tet·ra·he·dron

(tĕt′rə-hē′drən)
A three-dimensional geometric figure with four triangular faces.
ThesaurusAntonymsRelated WordsSynonymsLegend:
 Noun 1 tetrahedron - any polyhedron having four plane facespolyhedron - a solid figure bounded by plane polygons or faces
Translations
tetràedre
čtyřstěn
tetraedri
tetraèdretétraèdre
tetraéder

tetraeder

## tetrahedron

[ˈtetrəˈhiːdrən] N (tetrahedrons, tetrahedra (pl)) [ˌtetrəˈhiːdrə]

## tetrahedron

nTetraeder nt
References in periodicals archive ?
Applying half edge collapse to a set of n tetrahedra covering a domain, another set of m tetrahedra, m < n, covering the same domain is obtained.
In particular, material zeolites provide diverse periodic networks of corner-linked regular tetrahedra, with striking geometric and topological structure.
Clay minerals have a layered structure at the nanoscale, and each layer consists of some combinations of two layer types with silicon tetrahedra and aluminum octahedra as basic units [1, 2].
[Cs.sub.2][Nb.sub.4][O.sub.11] is the one that coexisted with Nb[O.sub.6] octahedra and Nb[O.sub.4] tetrahedra in the structure [12,18].
Delaunay tessellation was applied to the three-dimensional (3D) atomic coordinates of each protein chain, whereby atoms were treated as vertices to generate a convex hull encompassing thousands of space-filling, nonoverlapping, irregular tetrahedra (Figure 1).
If T contains t tetrahedra, we can make a one-to-one correspondence of normal surfaces and 7t-tuples which satisfy a system of linear equations, called matching equations.
Their topics include results and examples, geometric motifs, hypergraph regularity theory, and packing tetrahedra. ([umlaut] Ringgold, Inc., Portland, OR)
The technique extrudes layers of high-aspect ratio, right-angle-included tetrahedra outward from a surface mesh.
The set of C-alpha points associated with a protein structure are used as vertices to create hundreds of nonoverlapping, space filling, irregular tetrahedra that collectively form a convex hull, referred to as a Delaunay tessellation in the computational geometry literature [12], which we generate with the Qhull software package [10].
Size of tetrahedra depends just on the spatial distribution and density of input points.
Most of the chapters in the book concern a different approach to constructing isosurfaces: marching cubes, dual contouring, interpolation, patch construction, and meshes based on tetrahedra; multiresolution meshes and those making use of combined cubic, pyramidal, polyhedral elements are also covered.

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