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・ Compound of twelve pentagonal antiprisms with rotational freedom
・ Compound of twelve pentagonal prisms
・ Compound of twelve pentagrammic antiprisms
・ Compound of twelve pentagrammic crossed antiprisms with rotational freedom
・ Compound of twelve pentagrammic prisms
・ Compound of twelve tetrahedra with rotational freedom
・ Compound of twenty octahedra
・ Compound of twenty octahedra with rotational freedom
・ Compound of twenty tetrahemihexahedra
・ Compound of twenty triangular prisms
・ Compound of two great dodecahedra
・ Compound of two great icosahedra
・ Compound of two great inverted snub icosidodecahedra
・ Compound of two great retrosnub icosidodecahedra
・ Compound of two great snub icosidodecahedra
Compound of two icosahedra
・ Compound of two inverted snub dodecadodecahedra
・ Compound of two small stellated dodecahedra
・ Compound of two snub cubes
・ Compound of two snub dodecadodecahedra
・ Compound of two snub dodecahedra
・ Compound of two snub icosidodecadodecahedra
・ Compound of two truncated tetrahedra
・ Compound option
・ Compound pier
・ Compound Poisson distribution
・ Compound Poisson process
・ Compound presentation
・ Compound prism
・ Compound probability distribution


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Compound of two icosahedra : ウィキペディア英語版
Compound of two icosahedra

|-
|bgcolor=#e7dcc3|Coxeter diagrams||
|-
|bgcolor=#e7dcc3|Polyhedra||2 icosahedra
|-
|bgcolor=#e7dcc3|Faces||16+24 triangles
|-
|bgcolor=#e7dcc3|Edges||60
|-
|bgcolor=#e7dcc3|Vertices||24
|-
|bgcolor=#e7dcc3|Symmetry group||octahedral (''Oh'')
|-
|bgcolor=#e7dcc3|Subgroup restricting to one constituent||pyritohedral (''Th'')
|}
This uniform polyhedron compound is a composition of 2 icosahedra. It has octahedral symmetry ''Oh''. As a holosnub, it is represented by Schläfli symbol β and Coxeter diagram .
The triangles in this compound decompose into two orbits under action of the symmetry group: 16 of the triangles lie in coplanar pairs in octahedral planes, while the other 24 lie in unique planes.
It shares the same vertex arrangement as a nonuniform truncated octahedron, having irregular hexagons alternating with long and short edges.
The icosahedron, as a uniform ''snub tetrahedron'', is similar to these snub-pair compounds: compound of two snub cubes and compound of two snub dodecahedra.
== Cartesian coordinates ==
Cartesian coordinates for the vertices of this compound are all the permutations of
: (±1, 0, ±τ)
where τ = (1+√5)/2 is the golden ratio (sometimes written φ).

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