Science Fair Project Encyclopedia
Truncated tetrahedron
| Truncated tetrahedron | |
|---|---|
 Click on picture for large version. Click here for spinning version. | |
| Type | Archimedean |
| Faces | 4 triangles 4 hexagons |
| Edges | 18 |
| Vertices | 12 |
| Vertex configuration | 3,6,6 |
| Symmetry group | tetrahedral (Td) |
| Dual polyhedron | triakis tetrahedron |
| Properties | convex, semi-regular (vertex-uniform) |
The truncated tetrahedron is an Archimedean solid. Canonical coordinates for the vertices of a truncated tetrahedron centered at the origin are (±3, ±1, ±1), (±1, ±3, ±1), (±1, ±1, ±3), where the ± has the same parity for each coordinate, that is, all coordinates have an even number of minuses (or all have an odd number).
It has 4 regular hexagonal faces, 4 regular triangular faces, 12 vertices and 18 edges.
A famous depiction of an irregular truncated tetrahedron is in Albrecht Dürer's engraving, "Melencolia I". See illustration at entry Melancholy.
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