Truncated tetrahedron
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| Truncated tetrahedron | |
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| Missing image Truncatedtetrahedron.jpg 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).
Missing image
Truncated_tetrahedron_flat.png
image:truncated tetrahedron flat.png
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 (http://www.mathconsult.ch/showroom/unipoly/)
- Virtual Reality Polyhedra (http://www.georgehart.com/virtual-polyhedra/vp.html) The Encyclopedia of Polyhedra