Truncated Dodecahedron

bgcolor=#e7dcc3 colspan=2|Truncated dodecahedron
lign=center colspan=2|
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gcolor=#e7dcc3|Type Archimedean
gcolor=#e7dcc3|Faces 20 triangles
12 decagons
gcolor=#e7dcc3|Edges 90
gcolor=#e7dcc3|Vertices 60
gcolor=#e7dcc3|Vertex configuration 3,10,10
gcolor=#e7dcc3|Symmetry group icosahedral (Ih)
gcolor=#e7dcc3|Dual polyhedron triakis icosahedron
gcolor=#e7dcc3|Properties convex, semi-regular (vertex-uniform)
The truncated dodecahedron is an Archimedean solid. It has 12 regular decagonal faces, 20 regular triangular faces, 60 vertices and 90 edges. 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.

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