Compound of Two Icosahedra

Compound Of Two Icosahedra

This uniform polyhedron compound is a composition of 2 icosahedra. It has octahedral symmetry Oh.

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.


Nonuniform and uniform truncated octahedra. The first shares its vertex arrangement with this compound.

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.

Read more about Compound Of Two Icosahedra:  Cartesian Coordinates

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