Truncated triakis octahedron
From Wikipedia, the free encyclopedia
The truncated triakis octahedron, or more precisely an order-8 truncated triakis octahedron, is a convex polyhedron with 30 faces: 8 sets of 3 pentagons arranged in an octahedral arrangement, with 6 octagons in the gaps.
| Truncated triakis octahedron | |
|---|---|
 | |
| Conway notation | t8kO = dk8tC |
| Faces | 6 octagons 24 pentagons |
| Edges | 84 |
| Vertices | 56 |
| Dual | Octakis truncated cube |
| Vertex configuration | 8 (5.5.5) 48 (5.5.8) |
| Symmetry group | Oh |
| Properties | convex |
 Net | |
Triakis octahedron
It is constructed from a triakis octahedron by truncating the order-8 vertices. This creates 6 regular octagon faces, and leaves 24 mirror-symmetric pentagons.
 Triakis octahedron |
Octakis truncated cube
The dual of the order-8 truncated triakis octahedron is called a octakis truncated cube. It can be seen as a truncated cube with octagonal pyramids augmented to the faces.
 Truncated cube |
 Octakis truncated cube |
 Net |
Uses
The DaYan Gem 6 is a twisty puzzle in this shape.[1]
