Triakis truncated tetrahedral honeycomb
| Triakis truncated tetrahedral honeycomb | |
|---|---|
| 280px | |
| Cell type | Triakis truncated tetrahedron |
| Face types | hexagon isosceles triangle |
| Coxeter group |  ×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]
Voronoi tessellation
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.
Relation to quarter cubic honeycomb
It can be seen as the uniform quarter cubic honeycomb where its tetrahedal cells are subdivided by the center point into 4 shorter tetrahedra, and each adjoined to the adjacent truncated tetrahedral cells.
See also
References
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