Triakis truncated tetrahedral honeycomb | |
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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.
It can be seen as the uniform quarter cubic honeycomb where its tetrahedral cells are subdivided by the center point into 4 shorter tetrahedra, and each adjoined to the adjacent truncated tetrahedral cells.