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|Symmetry group||icosahedral (Ih)|
|Dual polyhedron||triakis icosahedron|
|Properties||convex, semi-regular (vertex-uniform)|
Canonical coordinates for the vertices of a truncated dodecahedron centered at the origin are (0, ±1/τ, ±(2+τ)), (±(2+τ), 0, ±1/τ), (±1/τ, ±(2+τ), 0), and (±1/τ, ±τ, ±2τ), (±2τ, ±1/τ, ±τ), (±τ, ±2τ, ±1/τ), and (±τ, ±2, ±τ2), (±τ2, ±τ, ±2), (±2, ±τ2, ±τ), where τ = (1+√5)/2 is the golden mean.
This polyhedra can be formed by taking a dodecahedron and truncating (cutting) off the corners so the pentagon faces become decagons and the corners become triangles.