Examples of 'uniform polyhedra' in a sentence
Meaning of "uniform polyhedra"
Uniform polyhedra, also known as Platonic solids, are three-dimensional geometric shapes that have the same number of identical regular polygons meeting at each vertex. There are only five uniform polyhedra: the tetrahedron, cube, octahedron, dodecahedron, and icosahedron. These shapes have symmetrical properties and are widely studied in mathematics and geometry due to their regularity and aesthetic appeal
How to use "uniform polyhedra" in a sentence
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uniform polyhedra
These are usually not counted as uniform polyhedra.
List of uniform polyhedra duals.
Dodecagrams can also be incorporated into uniform polyhedra.
The uniform polyhedra form a much broader class of polyhedra.
They form faces of regular and uniform polyhedra.
Uniform polyhedra and duals.
There are many relationships among the uniform polyhedra.
Nonconvex uniform polyhedra.
Coxeter used them to enumerate all but one of the uniform polyhedra.
Geometrically distorted variations of uniform polyhedra and tilings can also be given the vertex configuration.
A truncation process applied to the great dodecahedron produces a series of nonconvex uniform polyhedra.
The octahedron is one of a family of uniform polyhedra related to the cube.
These two uniform polyhedra can not be generated at all by the Wythoff construction.
For instance, it can be applied to the uniform polyhedra.
Seventeen of the nonconvex uniform polyhedra are stellations of Archimedean solids.
See also
Uniform polyhedra are vertex-transitive and every face is a regular polygon.
The regular polyhedra are also noble ; they are the only noble uniform polyhedra.
The convex uniform polyhedra can be named by Wythoff construction operations on the regular form.
A truncation operation, repeatedly applied to the great icosahedron, produces a sequence of uniform polyhedra.
For uniform polyhedra the Dorman Luke construction cuts each connected edge at its midpoint.
Wythoff symbol - a symbol for the Wythoff construction of uniform polyhedra and uniform tilings.
All the uniform polyhedra are available through the list of built-in models.
Later, Archimedes expanded his study to the convex uniform polyhedra which now bear his name.
List of uniform polyhedra - Uniform polyhedra and tilings form a well studied group.
Category, Uniform polyhedra.
Uniform polyhedra may be regular, quasi-regular or semi-regular.
This is the set of uniform polyhedra commonly described as the " non-Wythoffians.
Other nonregular uniform polyhedra are listed with their vertex configuration or their Uniform polyhedron index U1-80.
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