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A polyhedron compound of the great icosahedron and its dual great stellated dodecahedron most easily constructed by adding the polyhedron vertices of the former to the latter.

The dual of the great dodecicosidodecahedron U_(61) and Wenninger dual W_(99).

The dual of the great icosicosidodecahedron U_(48) and Wenninger dual W_(88).

The dual of the uniform great rhombicuboctahedron and Wenninger dual W_(85).

The dual of the great cubicuboctahedron and Wenninger dual W_(77).

The dual of the great snub dodecicosidodecahedron and Wenninger dual W_(115).

The dual of the great retrosnub icosidodecahedron and Wenninger dual W_(117).

The great sphere on the surface of a hypersphere is the three-dimensional analog of the great circle on the surface of a sphere. Let 2h be the number of reflecting spheres, ...

The great icosicosidodecahedron, not to be confused with the great icosahedron or great icosidodecahedron, is the uniform polyhedron with Maeder index 48 (Maeder 1997), ...

The great icosidodecahedron, not to be confused with the great icosahedron or great icosicosidodecahedron, is the uniform polyhedron with Maeder index 54 (Maeder 1997), ...