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.
It has 12 regular decagonal faces, 20 regular triangular faces, 60 vertices and 90 edges.
See dodecahedron.
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