It is well known that to cover the greatest proportion of the Euclidean plane with identical disks, we have to center these disks in a triangular grid. This problem can be generalized in two directions: in higher dimensions or with different sizes of disks. The first direction has been the most studied (for example, in dimension 3, the Kepler’s conjecture was proved by Hales and Ferguson in 1998). In this talk, we will rather focus on the second direction, in particular on the cases of two or three disc sizes. We will survey recent results for a large audience.
By Dimitry Gurevich
By Vincent Rivasseau , Léonard Ferdinand
By James Propp
By Paul-André Melliès
By Alexandros Singh
By Sergey Yurkevich
By Cyril Banderier
By Stéphane Gaubert
By Vincel Hoang Ngoc Minh
By Lionel Pournin
By Claudio Dappiaggi
By Alexander Strohmaier
By Hans Lindblad
By Misha Gromov
By Céline Duval
By Olivier Benoist
