Science Fair Project Encyclopedia
Truncated dodecahedron
| 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.
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
- Virtual Reality Polyhedra The Encyclopedia of Polyhedra
10-26-2009 08:16:03
The contents of this article is licensed from www.wikipedia.org under the GNU Free Documentation License. Click here to see the transparent copy and copyright details
The contents of this article is licensed from www.wikipedia.org under the GNU Free Documentation License. Click here to see the transparent copy and copyright details