Cartesian Coordinates
Cartesian coordinates for the vertices of a great dirhombicosidodecahedron are all the even permutations of
- (0, ±2/τ, ±2/√τ)
- (±(−1+1/√τ3), ±(1/τ2−1/√τ), ±(1/τ+√τ))
- (±(−1/τ+√τ), ±(−1−1/√τ3, ±(1/τ2+1/√τ))
where τ = (1+√5)/2 is the golden ratio (sometimes written φ). These vertices result in an edge length of 2√2.
Read more about this topic: Great Dirhombicosidodecahedron