Small snub icosicosidodecahedron

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Small snub icosicosidodecahedron
Type	Uniform polyhedron
Elements	F=112, E=180, V=60 (χ=-8)
Faces by sides	(40+60){3}+12{5/2}
Wythoff symbol	|5/2 3 3
Symmetry group	Ih
Index references	U32, C41, W110
35.5/2 (Vertex figure)	Small hexagonal hexecontahedron (dual polyhedron)

In geometry, the small snub icosicosidodecahedron is a nonconvex uniform polyhedron, indexed as U₃₂.

[edit] Cartesian coordinates

Cartesian coordinates for the vertices of a small snub icosicosidodecahedron are all the even permutations of

(±½(−1/τ+√(3τ−2)), 0, ±½(3+τ√(3τ−2)))

(±½(1/τ+√(3τ−2)), ±1, ±½(1+2/τ+τ√(3τ−2)))

(±½(τ²+√(3τ−2)), ±1/τ, ±½(1+τ√(3τ−2)))

where τ = (1+√5)/2 is the golden ratio (sometimes written φ).

[edit] See also

• List of uniform polyhedra

[edit] External links

• Eric W. Weisstein, Small snub icosicosidodecahedron at MathWorld.