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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.
Density (polytope)
In geometry, the density of a polytope represents the number of windings of a polytope, particularly a uniform or regular polytope, around its center.
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Geometry
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.
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Great ditrigonal dodecicosidodecahedron
In geometry, the great ditrigonal dodecicosidodecahedron is a nonconvex uniform polyhedron, indexed as U42.
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Great icosicosidodecahedron
In geometry, the great icosicosidodecahedron is a nonconvex uniform polyhedron, indexed as U48.
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List of uniform polyhedra
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).
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Schwarz triangle
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.
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Truncated dodecahedron
In geometry, the truncated dodecahedron is an Archimedean solid.
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Uniform star polyhedron
In geometry, a uniform star polyhedron is a self-intersecting uniform polyhedron.
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Vertex arrangement
In geometry, a vertex arrangement is a set of points in space described by their relative positions.
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Vertex figure
In geometry, a vertex figure, broadly speaking, is the figure exposed when a corner of a polyhedron or polytope is sliced off.
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Wythoff symbol
In geometry, the Wythoff symbol represents a Wythoff construction of a uniform polyhedron or plane tiling, from a Schwarz triangle.
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