Triakis truncated tetrahedron
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| 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.[1][2]
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.[3][4] As the Voronoi cell of a symmetric space pattern, it is a plesiohedron.[5]
