11 relations: Density (polytope), Geometry, Great ditrigonal dodecicosidodecahedron, Great icosicosidodecahedron, List of uniform polyhedra, Schwarz triangle, Truncated dodecahedron, Uniform star polyhedron, Vertex arrangement, Vertex figure, Wythoff symbol.
In geometry, the density of a polytope represents the number of windings of a polytope, particularly a uniform or regular polytope, around its center.
Geometry (from the γεωμετρία; geo- "earth", -metron "measurement") is a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space.
In geometry, the great ditrigonal dodecicosidodecahedron is a nonconvex uniform polyhedron, indexed as U42.
In geometry, the great icosicosidodecahedron is a nonconvex uniform polyhedron, indexed as U48.
In geometry, a uniform polyhedron is a polyhedron which has regular polygons as faces and is vertex-transitive (transitive on its vertices, isogonal, i.e. there is an isometry mapping any vertex onto any other).
In geometry, a Schwarz triangle, named after Hermann Schwarz, is a spherical triangle that can be used to tile a sphere, possibly overlapping, through reflections in its edges.
In geometry, the truncated dodecahedron is an Archimedean solid.
In geometry, a uniform star polyhedron is a self-intersecting uniform polyhedron.
In geometry, a vertex arrangement is a set of points in space described by their relative positions.
In geometry, a vertex figure, broadly speaking, is the figure exposed when a corner of a polyhedron or polytope is sliced off.
In geometry, the Wythoff symbol represents a Wythoff construction of a uniform polyhedron or plane tiling, from a Schwarz triangle.