51 citations · 301 across the 17 of their papers we have counts for
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cond-mat.soft2010★ 28 cited
Dense packing crystal structures of physical tetrahedra
Yoav Kallus, Veit Elser
We present a method for discovering dense packings of general convex hard particles and apply it to study the dense packing behavior of a one-parameter family of particles with tet…
math.MG2010★ 24 cited
Upper bound on the packing density of regular tetrahedra and octahedra
Simon Gravel, Veit Elser, Yoav Kallus
We obtain an upper bound to the packing density of regular tetrahedra. The bound is obtained by showing the existence, in any packing of regular tetrahedra, of a set of disjoint sp…
math.MG2010★ 13 cited
A method for dense packing discovery
Yoav Kallus, Veit Elser, Simon Gravel
The problem of packing a system of particles as densely as possible is foundational in the field of discrete geometry and is a powerful model in the material and biological science…