Triakis truncated tetrahedral honeycomb
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| Triakis truncated tetrahedral honeycomb | |
|---|---|
 | |
| Cell type | Triakis truncated tetrahedron |
| Face types | hexagon isosceles triangle |
| Coxeter group | Ã3×2, [[3[4]]] (double) |
| Space group | Fd3m (227) |
| Properties | Cell-transitive |
The triakis truncated tetrahedral honeycomb is a space-filling tessellation (or honeycomb) in Euclidean 3-space made up of triakis truncated tetrahedra. It was discovered in 1914.[1][2]
It is the Voronoi tessellation of the carbon atoms in diamond,[3][4] which lie in the diamond cubic crystal structure.
Being composed entirely of triakis truncated tetrahedra, it is cell-transitive.
