Examples of 'vertex figures' in a sentence
Meaning of "vertex figures"
In geometry, a vertex figure is the figure exposed when a vertex of a polyhedron or polygon is sliced off. It typically consists of the edges surrounding the vertex and the faces meeting at the vertex
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- plural of vertex figure
How to use "vertex figures" in a sentence
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vertex figures
Their vertex figures are quasiregular triangular tilings.
It is a part of a sequence of honeycombs with triangular tiling vertex figures.
The vertex figures of a cube are triangles.
A small complex icosidodecahedron can be constructed from a number of different vertex figures.
Their vertex figures are the simplices of one less dimension.
Star forms have either regular star polygon faces or vertex figures or both.
Their vertex figures are icosahedral pentagonal polytopes of one less dimension.
A more general term are k-Archimedean colorings which count k distinctly colored vertex figures.
However, the vertex figures of Catalan solids are regular, and they have constant dihedral angles.
The regular skew polyhedron have regular faces, and regular skew polygon vertex figures.
Edges have p vertices, and vertex figures are r-gonal.
Uniform polytopes, for instance, can have star polygons for faces or for vertex figures.
Their vertex figures are skew polygons, zig-zagging between two planes.
For example, there are 4 regular star polyhedra with regular polygon or star polygon vertex figures.
Each polyhedron can contain either star polygon faces, star polygon vertex figures or both.
See also
The great dodecahedron and great icosahedron have convex polygonal faces, but pentagrammic vertex figures.
Group III, trapezoid or crossed trapezoid vertex figures.
There are three regular skew apeirohedra in Euclidean 3-space, with regular skew polygon vertex figures.
They may either have self-intersecting faces, or self-intersecting vertex figures or both.
These figures have pentagrams ( star pentagons ) as faces or vertex figures.
Two of them have pentagrammic {5/2} faces and two have pentagrammic vertex figures.
There are also the cases { p, 2,q } which have dihedral cells and hosohedral vertex figures.
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Examples of using Figures
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State figures differ from national figures
Relatives or religious figures might also intervene
The figures regarding allochthonous workers are as follows
Examples of using Vertex
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So we need to have a vertex right over here
This vertex is above it and it opens upward
Select a point to be a vertex of the new polygon
