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Truncated tetrahedron
From Wikipedia, the free encyclopedia
| 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 |
| Coxeter-Dynkin |    |
| Symmetry | Td |
| References | U02, C16, W6 |
| Properties | Semiregular convex |
 Colored faces |
 3.6.6 (Vertex figure) |
 Triakis tetrahedron (dual polyhedron) |
 Net |
The truncated tetrahedron is an Archimedean solid. It has 4 regular hexagonal faces, 4 regular triangular faces, 12 vertices and 18 edges.
Contents |
Cartesian coordinates for the vertices of a truncated tetrahedron centered at the origin, with edge length
are:
- (+3,+1,+1), (+1,+3,+1), (+1,+1,+3)
- (−3,−1,+1), (−1,−3,+1), (−1,−1,+3)
- (−3,+1,−1), (−1,+3,−1), (−1,+1,−3)
- (+3,−1,−1), (+1,−3,−1), (+1,−1,−3)
- 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)
- Eric W. Weisstein, Truncated tetrahedron at MathWorld.
- The Uniform Polyhedra
- Virtual Reality Polyhedra The Encyclopedia of Polyhedra