Triakis tetrahedron
From Wikipedia, the free encyclopedia
| Triakis tetrahedron | |
|---|---|
 (Click here for rotating model) |
|
| Type | Catalan solid |
| Face type | isosceles triangle |
| Faces | 12 |
| Edges | 18 |
| Vertices | 8 |
| Vertices by type | 4{3}+4{6} |
| Face configuration | V3.6.6 |
| Symmetry group | Td |
| Dihedral angle | 129.521196° = arccos(-7/11) |
| Dual | Truncated tetrahedron |
| Properties | convex, face-transitive |
A triakis tetrahedron is an Archimedean dual solid, or a Catalan solid. Its dual is the truncated tetrahedron.
It can be seen as a tetrahedron with triangular pyramids added to each face. This interpretation is expressed in the name.
[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
- Eric W. Weisstein, Triakis tetrahedron at MathWorld.
