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).
Read more about this topic: Small Snub Icosicosidodecahedron