Truncated dodecahedron - Definition and Overview

Truncated dodecahedron
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Type	Archimedean
Faces	20 triangles 12 decagons
Edges	90
Vertices	60
Vertex configuration	3,10,10
Symmetry group	icosahedral (Ih)
Dual polyhedron	triakis icosahedron
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.

Truncated_dodecahedron_flat.png
Truncated dodecahedron, flat

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

• dodecahedron
• icosahedron
• icosidodecahedron
• truncated icosahedron

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