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Compound of eight octahedra with rotational freedom
・ Compound of eight triangular prisms
・ Compound of five cubes
・ Compound of five cuboctahedra
・ Compound of five cubohemioctahedra
・ Compound of five great cubicuboctahedra
・ Compound of five great dodecahedra
・ Compound of five great icosahedra
・ Compound of five great rhombihexahedra
・ Compound of five icosahedra
・ Compound of five nonconvex great rhombicuboctahedra
・ Compound of five octahedra
・ Compound of five octahemioctahedra
・ Compound of five rhombicuboctahedra
・ Compound of five small cubicuboctahedra


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Compound of eight octahedra with rotational freedom : ウィキペディア英語版
Compound of eight octahedra with rotational freedom

This uniform polyhedron compound is a symmetric arrangement of 8 octahedra, considered as triangular antiprisms. It can be constructed by superimposing eight identical octahedra, and then rotating them in pairs about the four axes that pass through the centres of two opposite octahedral faces. Each octahedron is rotated by an equal (and opposite, within a pair) angle θ.
When θ = 0, all eight octahedra coincide. When θ is 60 degrees, the octahedra coincide in pairs yielding (two superimposed copies of) the compound of four octahedra.
== Cartesian coordinates ==
Cartesian coordinates for the vertices of this compound are all the permutations of
: (±(1 − cosθ + (√3) sin θ), ±(1 − cosθ − (√3)sinθ), ±(1 + 2 cos θ))

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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