Corpus ID: 237091391

Asymptotic Density of Apollonian-Type Packings

  title={Asymptotic Density of Apollonian-Type Packings},
  author={M. Litman and A. Sheydvasser},
There has been a lot of interest in studying “Apollonian-like” circle and sphere packings in recent years, with many different constructions and definitions [3, 5–7, 11, 19, 22]. Although there isn’t any unified agreement on what “Apollonian-like” should mean, at minimum it should be a set of oriented pn ́ 2q-spheres with non-intersecting interiors such that there exists a non-trivial subgroup G of O`pn, 1q acting on this set. For the most part, studying such sets has concentrated on taking… Expand

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  • 2011
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