Cubic honeycomb
ONLY REGULAR SPACE-FILLING TESSELLATION OF THE CUBE
Truncated cubic honeycomb; Rectified cubic honeycomb; Cantellated cubic honeycomb; Runcitruncated cubic honeycomb; Cantitruncated cubic honeycomb; Omnitruncated cubic honeycomb; Truncated square prismatic honeycomb; Snub square prismatic honeycomb; Runcinated cubic honeycomb; 3-cube honeycomb; Alternated cantitruncated cubic honeycomb; Regular cubic honeycomb; Runcicantellated cubic honeycomb; Runcinated cubic honycomb; D3 lattice; Snub rectified cubic honeycomb; Runcic cantitruncated cubic honeycomb; Alternated omnitruncated cubic honeycomb; Cubic cellulation; Rectified cubic cellulation; Truncated cubic cellulation; Cantellated cubic cellulation; Runcinated cubic cellulation; Cantitruncated cubic cellulation; Runcitruncated cubic cellulation; Omnitruncated cubic cellulation; Simo-square prismatic cellulation; Tomo-square prismatic cellulation; Quarter oblate octahedrille; Square quarter pyramidille; Triangular pyramidille; Order-3-4 square honeycomb; Cantic snub cubic honeycomb
The cubic honeycomb or cubic cellulation is the only proper regular space-filling tessellation (or honeycomb) in Euclidean 3-space made up of cubic cells. It has 4 cubes around every edge, and 8 cubes around each vertex.