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Truncated Dodecahedron | bgcolor=#e7dcc3 colspan=2|Truncated dodecahedron | lign=center colspan=2| Click on picture for large version. Click here for spinning version. | | 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. See also External links
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