Regular packings on periodic lattices.

  title={Regular packings on periodic lattices.},
  author={T. Ras and R. Schilling and M. Weigel},
  journal={Physical review letters},
  volume={107 21},
  • T. Ras, R. Schilling, M. Weigel
  • Published 2011
  • Physics, Medicine, Mathematics
  • Physical review letters
  • We investigate the problem of packing identical hard objects on regular lattices in d dimensions. Restricting configuration space to parallel alignment of the objects, we study the densest packing at a given aspect ratio X. For rectangles and ellipses on the square lattice as well as for biaxial ellipsoids on a simple cubic lattice, we calculate the maximum packing fraction φ(d)(X). It is proved to be continuous with an infinite number of singular points X(ν)(min), X(ν)(max), ν = 0, ±1, ±2… CONTINUE READING
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