Triakis truncated tetrahedron
| Triakis truncated tetrahedron | |
|---|---|
| Type | Plesiohedron |
| Faces | 4 hexagons 12 isosceles triangles |
| Edges | 30 |
| Vertices | 16 |
| Conway notation | k3tT |
| Dual polyhedron | 16|Order-3 truncated triakis tetrahedron |
| Properties | convex |
In geometry, the triakis truncated tetrahedron is a convex polyhedron made from 4 hexagons and 12 isosceles triangles. It can be used to tessellate three-dimensional space, making the triakis truncated tetrahedral honeycomb.
The triakis truncated tetrahedron is the shape of the Voronoi cell of the carbon atoms in diamond, which lie on the diamond cubic crystal structure. As the Voronoi cell of a symmetric space pattern, it is a plesiohedron.