Rhombicosidodecahedron - Cartesian Coordinates

Cartesian Coordinates

Cartesian coordinates for the vertices of a rhombicosidodecahedron with edge length 2 centered at the origin are:

(±1, ±1, ±φ3),

(±φ3, ±1, ±1),

(±1, ±φ3, ±1),

(±φ2, ±φ, ±2φ),

(±2φ, ±φ2, ±φ),

(±φ, ±2φ, ±φ2),

(±(2+φ), 0, ±φ2),

(±φ2, ±(2+φ), 0),

(0, ±φ2, ±(2+φ)),

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