Great dodecahemidodecahedron, the Glossary

Table of Contents

1. 15 relations: Convex hull, Decagram (geometry), Geometry, Great icosidodecahedron, Great icosihemidodecahedron, Great stellated dodecahedron, Hemipolyhedron, Icosidodecahedron, List of uniform polyhedra, Pentagram, Small stellated dodecahedron, Star polygon, Uniform star polyhedron, Vertex arrangement, Vertex figure.

Convex hull

In geometry, the convex hull, convex envelope or convex closure of a shape is the smallest convex set that contains it.

See Great dodecahemidodecahedron and Convex hull

Decagram (geometry)

In geometry, a decagram is a 10-point star polygon.

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Geometry

Geometry is a branch of mathematics concerned with properties of space such as the distance, shape, size, and relative position of figures.

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Great icosidodecahedron

In geometry, the great icosidodecahedron is a nonconvex uniform polyhedron, indexed as U54. Great dodecahemidodecahedron and great icosidodecahedron are uniform polyhedra.

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Great icosihemidodecahedron

In geometry, the great icosihemidodecahedron (or great icosahemidodecahedron) is a nonconvex uniform polyhedron, indexed as U71. Great dodecahemidodecahedron and great icosihemidodecahedron are uniform polyhedra.

See Great dodecahemidodecahedron and Great icosihemidodecahedron

Great stellated dodecahedron

In geometry, the great stellated dodecahedron is a Kepler–Poinsot polyhedron, with Schläfli symbol.

See Great dodecahemidodecahedron and Great stellated dodecahedron

Hemipolyhedron

In geometry, a hemipolyhedron is a uniform star polyhedron some of whose faces pass through its center. Great dodecahemidodecahedron and hemipolyhedron are uniform polyhedra.

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Icosidodecahedron

In geometry, an icosidodecahedron or pentagonal gyrobirotunda is a polyhedron with twenty (icosi) triangular faces and twelve (dodeca) pentagonal faces.

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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). Great dodecahemidodecahedron and List of uniform polyhedra are uniform polyhedra.

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Pentagram

A pentagram (sometimes known as a pentalpha, pentangle, or star pentagon) is a regular five-pointed star polygon, formed from the diagonal line segments of a convex (or simple, or non-self-intersecting) regular pentagon.

See Great dodecahemidodecahedron and Pentagram

Small stellated dodecahedron

In geometry, the small stellated dodecahedron is a Kepler-Poinsot polyhedron, named by Arthur Cayley, and with Schläfli symbol.

See Great dodecahemidodecahedron and Small stellated dodecahedron

Star polygon

In geometry, a star polygon is a type of non-convex polygon.

See Great dodecahemidodecahedron and Star polygon

Uniform star polyhedron

In geometry, a uniform star polyhedron is a self-intersecting uniform polyhedron. Great dodecahemidodecahedron and uniform star polyhedron are uniform polyhedra.

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Vertex arrangement

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

See Great dodecahemidodecahedron and Vertex arrangement

Vertex figure

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

See Great dodecahemidodecahedron and Vertex figure

References

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

Also known as Gidhid.