Triakis octahedron
From Wikipedia, the free encyclopedia
| Triakis octahedron | |
|---|---|
 (Click here for rotating model) |
|
| Type | Catalan solid |
| Face type | isosceles triangle |
| Faces | 24 |
| Edges | 36 |
| Vertices | 14 |
| Vertices by type | 8{3}+6{8} |
| Face configuration | V3.8.8 |
| Symmetry group | Oh |
| Dihedral angle | 147°21'0" |
| Dual | Truncated cube |
| Properties | convex, face-transitive |
A triakis octahedron is an Archimedean dual solid, or a Catalan solid. Its dual is the truncated cube.
It can be seen as an octahedron with triangular pyramids added to each face. This interpretation is expressed in the name.
This convex polyhedron is topologically similar to the concave stellated octahedron. They have the same face connectivity, but the vertices are in different relative distances from the center.
[edit] Cultural references
- A triakis octahedron is a vital element in the plot of cult author Hugh Cook's novel The Wishstone and the Wonderworkers.
[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 octahedron at MathWorld.
