Truncated tetrahedron
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| Truncated tetrahedron | |
|---|---|
 (Click here for rotating model) | |
| Type | Archimedean solid |
| Elements | F=8, E=18, V=12 (χ=2) |
| Faces by sides | 4{3}+4{6} |
| Schläfli symbol | t{3,3} |
| Wythoff symbol | 2 3 | 3 |
| Symmetry group | Td |
| Index references | U02, C16, W6 |
| Dual | Triakis tetrahedron |
| Properties | Semiregular convex |
 Vertex figure 3.6.6 | |
The truncated tetrahedron is an Archimedean solid. It has 4 regular hexagonal faces, 4 regular triangular faces, 12 vertices and 18 edges.
Contents |
[edit] Cartesian coordinates
Cartesian 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).
[edit] See also
[edit] References
- Williams, Robert (1979). The Geometrical Foundation of Natural Structure: A Source Book of Design. Dover Publications, Inc. ISBN 0-486-23729-X. (Section 3-9)
[edit] External links
- The Uniform Polyhedra
- Virtual Reality Polyhedra The Encyclopedia of Polyhedraes:Tetraedro truncado
ja:切頂四面体 nl:Afgeknotte tetraëder pl:Czworościan ścięty pt:Tetraedro truncado
