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# Great dodecicosahedron

In geometry, the great dodecicosahedron is a nonconvex uniform polyhedron, indexed as U63. 

## 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.

## 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.

## Great ditrigonal dodecicosidodecahedron

In geometry, the great ditrigonal dodecicosidodecahedron is a nonconvex uniform polyhedron, indexed as U42.

## Great icosicosidodecahedron

In geometry, the great icosicosidodecahedron is a nonconvex uniform polyhedron, indexed as U48.

## 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).

## 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.

## Truncated dodecahedron

In geometry, the truncated dodecahedron is an Archimedean solid.

## Uniform star polyhedron

In geometry, a uniform star polyhedron is a self-intersecting uniform polyhedron.

## Vertex arrangement

In geometry, a vertex arrangement is a set of points in space described by their relative positions.

## Vertex figure

In geometry, a vertex figure, broadly speaking, is the figure exposed when a corner of a polyhedron or polytope is sliced off.

## Wythoff symbol

In geometry, the Wythoff symbol represents a Wythoff construction of a uniform polyhedron or plane tiling, from a Schwarz triangle.

## References

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