The truncated dodecahedron is an Archimedean solid . It has 12 regular decagonal faces, 20 regular triangular faces, 60 vertices and 90 edges.
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 The Uniform Polyhedra (http://www.mathconsult.ch/showroom/unipoly/ ) Virtual Reality Polyhedra (http://www.georgehart.com/virtual-polyhedra/vp.html ) The Encyclopedia of Polyhedra
Results from FactBites:
polyhedra.org: Pentagon (0 words)
2 pentagons: metabidiminished icosahedron, parabiaugmented truncated dodecahedron , metabiaugmented truncated dodecahedron , pentagonal prism, pentagonal antiprism, pentagonal orthobicupola, pentagonal gyrobicupola, elongated pentagonal orthobicupola, elongated pentagonal gyrobicupola, gyroelongated pentagonal bicupola, augmented pentagonal prism and biaugmented pentagonal prism 10 pentagons: parabiaugmented dodecahedron , metabiaugmented dodecahedron , parabidiminished rhombicosidodecahedron, metabidiminished rhombicosidodecahedron and gyrate bidiminished rhombicosidodecahedron 12 pentagons: gyrate rhombicosidodecahedron, parabigyrate rhombicosidodecahedron, metabigyrate rhombicosidodecahedron, trigyrate rhombicosidodecahedron, dodecahedron , pentagonal orthobirotunda, elongated pentagonal orthobirotunda, elongated pentagonal gyrobirotunda and gyroelongated pentagonal birotunda
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