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Great dodecicosahedron

Index Great dodecicosahedron

In geometry, the great dodecicosahedron is a nonconvex uniform polyhedron, indexed as U63. [1]

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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Redirects here:

Giddy (geometry), Great dodekicosahedron.

References

[1] https://en.wikipedia.org/wiki/Great_dodecicosahedron

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