The truncated dodecahedron is an Archimedean solid. It has 12 regular decagonal faces, 20 regular triangular faces, 60 vertices and 90 edges. __TOC__

Cartesian coordinates

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The following Cartesian coordinates define the vertices of a truncated dodecahedron centered at the origin:

(0, ±1/τ, ±(2+τ))

(±(2+τ), 0, ±1/τ)

(±1/τ, ±(2+τ), 0)

(±1/τ, ±τ, ±2τ)

(±2τ, ±1/τ, ±τ)

(±τ, ±2τ, ±1/τ)

(±τ, ±2, ±τ²)

(±τ², ±τ, ±2)

(±2, ±τ², ±τ)

where τ = (1+√5)/2 is the golden ratio (sometimes written φ).

Geometric relations

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This polyhedron can be formed from a dodecahedron by truncating (cutting off) the corners so the pentagon faces become decagons and the corners become triangles.

See also

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• Truncateddodecahedron.gif
• dodecahedron
• icosahedron
• icosidodecahedron
• truncated icosahedron

External links

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• The Uniform Polyhedra
• Virtual Reality Polyhedra The Encyclopedia of Polyhedra

Uniform polyhedra | Archimedean solids

Dodecaedro truncado | 切頂十二面体 | Afgeknotte dodecaëder | Dwunastościan ścięty | Dodecaedro truncado