Английская Википедия:Compound of five cuboctahedra

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Шаблон:Short description

Compound of five cuboctahedra
Файл:UC59-5 cuboctahedra.png
Type Uniform compound
Index UC59
Polyhedra 5 cuboctahedra
Faces 40 triangles, 30 squares
Edges 120
Vertices 60
Symmetry group icosahedral (Ih)
Subgroup restricting to one constituent pyritohedral (Th)

In geometry, this uniform polyhedron compound is a composition of 5 cuboctahedra. It has icosahedral symmetry Ih.

Cartesian coordinates

Cartesian coordinates for the vertices of this compound are all the cyclic permutations of

(±2, 0, ±2)
(±τ, ±τ−1, ±(2τ−1))
(±1, ±τ−2, ±τ2)

where τ = (1+Шаблон:Radic)/2 is the golden ratio (sometimes written φ).

References


Шаблон:Polyhedron-stub