Rhombic dodecahedral honeycomb

Rhombic dodecahedral honeycomb
Type	convex uniform honeycomb dual
Coxeter-Dynkin diagram	=
Cell type	Rhombic dodecahedron V3.4.3.4
Face types	Rhombus
Space group	Fm3m (225)
Coxeter notation	½${\displaystyle {\tilde {C}}_{3}}$, [1+,4,3,4] ${\displaystyle {\tilde {B}}_{3}}$, [4,31,1] ${\displaystyle {\tilde {A}}_{3}}$×2, <[3[4]]>
Dual	tetrahedral-octahedral honeycomb
Properties	edge-transitive, face-transitive, cell-transitive

The rhombic dodecahedral honeycomb (also dodecahedrille) is a space-filling tessellation (or honeycomb) in Euclidean 3-space. It is the Voronoi diagram of the face-centered cubic sphere-packing, which has the densest possible packing of equal spheres in ordinary space (see Kepler conjecture).