Triakis truncated tetrahedral honeycomb
The triakis truncated tetrahedral honeycomb is a space-filling tessellation in Euclidean 3-space made up of triakis truncated tetrahedra. It was discovered in 1914.It is the Voronoi tessellation of the carbon atoms in diamond, 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 tetrahedal cells are subdivided by the center point into 4 shorter tetrahedra, and each adjoined to the adjacent truncated tetrahedral cells.
