Spatial Statistics of Apollonian Gaskets

Weiru Chen, Mo Jiao, Calvin Kessler, Amita Malik, Xin Zhang

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


Apollonian gaskets are formed by repeatedly filling the interstices between four mutually tangent circles with further tangent circles. We experimentally study the nearest neighbor spacing, pair correlation, and electrostatic energy of centers of circles from Apollonian gaskets. Even though the centers of these circles are not uniformly distributed in any “ambient” space, after proper normalization, all these statistics seem to exhibit certain interesting limiting behaviors.

Original languageEnglish (US)
Pages (from-to)263-270
Number of pages8
JournalExperimental Mathematics
Issue number3
StatePublished - Jul 3 2019

All Science Journal Classification (ASJC) codes

  • General Mathematics


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