Canonical coordinates for a snub dodecahedron are all the even permutations of
(±2α, ±2, ±2β),
(±(α+β/τ+τ), ±(-ατ+β+1/τ), ±(α/τ+βτ-1)),
(±(-α/τ+βτ+1), ±(-α+β/τ-τ), ±(ατ+β-1/τ)),
(±(-α/τ+βτ-1), ±(α-β/τ-τ), ±(ατ+β+1/τ)) and
(±(α+β/τ-τ), ±(ατ-β+1/τ), ±(α/τ+βτ+1)),
with an even number of plusses, where
α = ξ-1/ξ, and β = ξτ+τ^{2}+τ/ξ, where τ = (1+√5)/2 is the golden mean and
ξ is the real solution to ξ^{3}-2ξ=τ, which is the horrible number ^{3}√((τ+√(τ-5/27))/2)+^{3}√((τ-√(τ-5/27))/2).

The snub dodecahedron has 92 faces, of which 12 are pentagons and the other 80 are equilateral triangles. It also has 150 edges, and 60 vertices. In three-dimensional space, it has two distinct forms, which are mirror images (or "enantiomorphs") of each other. In higher-dimensional spaces, these are congruent.

The snub dodecahedron should not be confused with the truncated dodecahedron.

- The Uniform Polyhedra
- Virtual Reality Polyhedra The Encyclopedia of Polyhedra