Английская Википедия:Compound of two great icosahedra

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Шаблон:Short description

Compound of two great icosahedra
Файл:UC52-2 great icosahedra.png
Type Uniform compound
Index UC52
Polyhedra 2 great icosahedra
Faces 16+24 triangles
Edges 60
Vertices 24
Symmetry group octahedral (Oh)
Subgroup restricting to one constituent pyritohedral (Th)
Файл:Compound of two great icosahedra.stl
3D model of a compound of two great icosahedra

In geometry, the compound of two great icosahedra is a uniform polyhedron compound. It's composed of 2 great icosahedra, in the same arrangement as in the compound of 2 icosahedra.

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.

The great icosahedron, as a uniform retrosnub tetrahedron Файл:Retrosnub tetrahedron.png, is similar to these snub-pair compounds: compound of two icosahedra, compound of two snub cubes and compound of two snub dodecahedra.

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Шаблон:Polyhedron-stub