Apollonian packings and hyperbolic geometry

Minoru Ishida, Sadayoshi Kojima

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


We review the generalized apollonian packings by Bessis and Demko from 3-dimensional viewpoints and solve their conjectures on the discreteness of the groups they constructed. Moreover, we systematically generalize the construction of packings in terms of the Coxeter group theory, and propose a computational algorithm to draw the pictures efficiently based on the automatic group theory.

Original languageEnglish
Pages (from-to)265-283
Number of pages19
JournalGeometriae Dedicata
Issue number3
Publication statusPublished - 1992 Sep 1
Externally publishedYes

ASJC Scopus subject areas

  • Geometry and Topology

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