Truncated dodecahedron
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| Truncated dodecahedron | |
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| Missing image Truncateddodecahedron.jpg Truncated dodecahedron Click on picture for large version. Click here for spinning version. | |
| 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.
Missing image
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
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