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・ Compound of ten hexagonal prisms
・ Compound of ten octahedra
・ Compound of ten tetrahedra
・ Compound of ten triangular prisms
・ Compound of ten truncated tetrahedra
・ Compound of tetrahedra
・ Compound of three cubes
・ Compound of three octahedra
・ Compound of three square antiprisms
・ Compound of three tetrahedra
・ 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


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Compound of twelve tetrahedra with rotational freedom : ウィキペディア英語版
Compound of twelve tetrahedra with rotational freedom

This uniform polyhedron compound is a symmetric arrangement of 12 tetrahedra, considered as antiprisms. It can be constructed by superimposing six identical copies of the stella octangula, and then rotating them in pairs about the three axes that pass through the centres of two opposite cubic faces. Each stella octangula is rotated by an equal (and opposite, within a pair) angle θ. Equivalently, a stella octangula may be inscribed within each cube in the compound of six cubes with rotational freedom, which has the same vertices as this compound.
When θ=0, all six stella octangula coincide. When θ is 45 degrees, the stella octangula coincide in pairs yielding (two superimposed copies of) the compound of six tetrahedra.
== References ==

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