Geometry arose as the field of knowledge dealing with spatial relationships. Geometry was one of the two fields of pre-modern mathematics, the other being the study of numbers.... , the small ditrigonal icosidodecahedron is a nonconvex uniform polyhedron
Uniform polyhedron
A Uniform polytope polyhedron is a polyhedron which has regular polygons as Face and is transitive on its vertex . It follows that all vertices are Congruence , and the polyhedron has a high degree of reflectional and rotational symmetry.... , indexed as U30.
In geometry, a vertex arrangement is a set of points in space described by their relative positions. They can be described by their use in polytopes.... with the regular dodecahedron
Dodecahedron
A dodecahedron is any polyhedron with twelve faces, but usually a regular dodecahedron is meant: a Platonic solid composed of twelve regular pentagonal faces, with three meeting at each vertex.... . It additionally shares its edge arrangement with the great ditrigonal icosidodecahedron
Great ditrigonal icosidodecahedron
In geometry, the great ditrigonal icosidodecahedron is a nonconvex uniform polyhedron, indexed as U47.It shares the vertex arrangement with the regular dodecahedron, which is therefore its convex hull.... , the ditrigonal dodecadodecahedron
Ditrigonal dodecadodecahedron
In geometry, the Ditrigonal dodecadodecahedron is a nonconvex uniform polyhedron, indexed as U41.It shares its vertex arrangement with the regular dodecahedron.... , and the regular compound of five cubes
Compound of five cubes
This polyhedral compound is a symmetric arrangement of five cubes. This compound was first described by Edmund Hess in 1876.It is one of five Polyhedral_compound#Regular_compounds, and dual to the compound of five octahedra.... .
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Geometry arose as the field of knowledge dealing with spatial relationships. Geometry was one of the two fields of pre-modern mathematics, the other being the study of numbers.... , the small ditrigonal icosidodecahedron is a nonconvex uniform polyhedron
Uniform polyhedron
A Uniform polytope polyhedron is a polyhedron which has regular polygons as Face and is transitive on its vertex . It follows that all vertices are Congruence , and the polyhedron has a high degree of reflectional and rotational symmetry.... , indexed as U30.
In geometry, a vertex arrangement is a set of points in space described by their relative positions. They can be described by their use in polytopes.... with the regular dodecahedron
Dodecahedron
A dodecahedron is any polyhedron with twelve faces, but usually a regular dodecahedron is meant: a Platonic solid composed of twelve regular pentagonal faces, with three meeting at each vertex.... . It additionally shares its edge arrangement with the great ditrigonal icosidodecahedron
Great ditrigonal icosidodecahedron
In geometry, the great ditrigonal icosidodecahedron is a nonconvex uniform polyhedron, indexed as U47.It shares the vertex arrangement with the regular dodecahedron, which is therefore its convex hull.... , the ditrigonal dodecadodecahedron
Ditrigonal dodecadodecahedron
In geometry, the Ditrigonal dodecadodecahedron is a nonconvex uniform polyhedron, indexed as U41.It shares its vertex arrangement with the regular dodecahedron.... , and the regular compound of five cubes
Compound of five cubes
This polyhedral compound is a symmetric arrangement of five cubes. This compound was first described by Edmund Hess in 1876.It is one of five Polyhedral_compound#Regular_compounds, and dual to the compound of five octahedra.... .
Uniform polyhedra and tilings form a well studied group. They are listed here for quick comparison of their properties and varied naming schemes and symbols....
