Rhombic dodecahedral honeycomb
Space-filling tesselation / From Wikipedia, the free encyclopedia
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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).
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, [1+,4,3,4] , [4,31,1] ×2, <[3[4]]> |
Dual | tetrahedral-octahedral honeycomb |
Properties | edge-transitive, face-transitive, cell-transitive |