51 citations · 301 across the 17 of their papers we have counts for
4 papers · 1 filter
Jammed lattice sphere packings
Yoav Kallus, Étienne Marcotte, Salvatore Torquato
We generate and study an ensemble of isostatic jammed hard-sphere lattices. These lattices are obtained by compression of a periodic system with an adaptive unit cell containing a…
Statistical mechanics of the lattice sphere packing problem
Yoav Kallus
We present an efficient Monte Carlo method for the lattice sphere packing problem in d dimensions. We use this method to numerically discover de novo the densest lattice sphere pac…
Pessimal packing shapes
Yoav Kallus
We address the question of which convex shapes, when packed as densely as possible under certain restrictions, fill the least space and leave the most empty space. In each differen…
When is the ball a local pessimum for covering?
Yoav Kallus
We consider the problem of identifying the worst point-symmetric shape for covering n-dimensional Euclidean space with lattice translates. Here we focus on the dimensions where the…