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・ Compound of five truncated cubes
・ Compound of five truncated tetrahedra
・ Compound of four hexagonal prisms
・ Compound of four octahedra
・ Compound of four octahedra with rotational freedom
・ Compound of four tetrahedra
・ Compound of four triangular prisms
・ Compound of great icosahedron and great stellated dodecahedron
・ Compound of octahedra
・ Compound of six cubes with rotational freedom
・ Compound of six decagonal prisms
・ Compound of six decagrammic prisms
・ Compound of six pentagonal antiprisms
・ Compound of six pentagonal prisms
・ Compound of six pentagrammic antiprisms
Compound of six pentagrammic crossed antiprisms
・ Compound of six pentagrammic prisms
・ Compound of six square antiprisms
・ Compound of six tetrahedra
・ Compound of six tetrahedra with rotational freedom
・ Compound of small stellated dodecahedron and great dodecahedron
・ 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


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Compound of six pentagrammic crossed antiprisms : ウィキペディア英語版
Compound of six pentagrammic crossed antiprisms

This uniform polyhedron compound is a symmetric arrangement of 6 pentagrammic crossed antiprisms. It can be constructed by inscribing within a great icosahedron one pentagrammic crossed antiprism in each of the six possible ways, and then rotating each by 36 degrees about its axis (that passes through the centres of the two opposite pentagrammic faces). It shares its vertices with the compound of 6 pentagonal antiprisms.
== Cartesian coordinates ==
Cartesian coordinates for the vertices of this compound are all the cyclic permutations of
: (±(3−4τ−1), 0, ±(4+3τ−1))
: (±(2+4τ−1), ±τ−1, ±(1+2τ−1))
: (±(2−τ−1), ±1, ±(4−2τ−1))
where τ = (1+√5)/2 is the golden ratio (sometimes written φ).

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