Packing Confined Hard Spheres Denser with Adaptive Prism Phases

We thank Elvira Bonet, Moises Garin, and Kevin Mutch for helpful discussions. This work was partially supported by the DFG within the SFB TR6 (Project D1), and by the Spanish CICyT Projects FIS2009-07812 and PROMETEO/2010/043. F. R.-M. acknowledges the support from the EU Marie Curie Project APPCOPTOR-275150 (FP7-PEOPLE-2010-IEF).