High resistance concrete or hard ceramics needs extremely dense granular packings which can only be realised when the size distribution of grains follows a powerlaw. We discuss the perfectly dense limit, namely Apollonian packings in three dimensions and show in particular the existence of space...

Extremely dense granular packings are needed for high resistance concrete or hard ceramics. They can only be realised when the size distribution of grains is strongly polydisperse. Typically power law distributions give the best results. We present a simple packing model for polydisperse...