Since years I wanted to make an inverse sphere packing. Due to 3D printing technology this dream comes true.
I have tested the RapRep Mono Mendel with a smaller version of this design. The results looks "organic", I like that. I also tried SLS. Have a look:http://www.thingiverse.com/make:52547
If you try to print this, please tell me which printer you have used and if it was successfully or not.
Update (2nd July 2013): I have uploaded a *.stl file with higher sphere resolution.