Examples of 'uniform polyhedron' in a sentence
Meaning of "uniform polyhedron"
uniform polyhedron - In geometry, a polyhedron where all faces are regular polygons and all vertices are congruent. It is a three-dimensional shape with uniformity in its faces and vertices
How to use "uniform polyhedron" in a sentence
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uniform polyhedron
If the definition of a uniform polyhedron is generalised they are uniform.
It is sometimes but not always counted as a uniform polyhedron.
Nonconvex uniform polyhedron.
See Uniform polyhedron Wythoff construction operators for more details.
A Wythoff construction is a method for constructing a uniform polyhedron or plane tiling.
In geometry, a prismatic uniform polyhedron is a uniform polyhedron with dihedral symmetry.
Coxeter et al . publish the complete list of uniform polyhedron.
A regular polyhedron is a uniform polyhedron which has just one kind of face.
If all its faces are regular, it is a semiregular polyhedron or uniform polyhedron.
A compound of five tetrahemihexahedra is a uniform polyhedron compound and a symmetric arrangement of five tetrahemihexahedra.
In geometry, a uniform star polyhedron is a self-intersecting uniform polyhedron.
It is the only non-prismatic uniform polyhedron with an odd number of faces.
Because of this edge-degeneracy, it is not always considered to be a uniform polyhedron.
There is a nonconvex uniform polyhedron with a similar name, the nonconvex great rhombicuboctahedron.
There are some non-orientable polyhedra that have double covers satisfying the definition of a uniform polyhedron.
See also
This is a degenerate uniform polyhedron rather than a uniform polyhedron, because some pairs of edges coincide.
One unfortunate point of confusion, There is a nonconvex uniform polyhedron by the same name.
In geometry, a nonconvex uniform polyhedron, or uniform star polyhedron, is a self-intersecting uniform polyhedron.
This polyhedron is identified with the indexed name U80 as a uniform polyhedron.
This is the only non-degenerate uniform polyhedron with more than six faces meeting at a vertex.
Other nonregular uniform polyhedra are listed with their vertex configuration or their Uniform polyhedron index U1-80.
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Examples of using Polyhedron
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Such a set is called a polyhedron or a polytope if it is bounded
A polyhedron having four faces is called tetrahedron
The dual of a regular polyhedron is also regular
