Apollonian packings and hyperbolic geometry

Minoru Ishida*, Sadayoshi Kojima

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

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
Volume43
Issue number3
DOIs
Publication statusPublished - 1992 Sep 1
Externally publishedYes

ASJC Scopus subject areas

  • Geometry and Topology

Fingerprint

Dive into the research topics of 'Apollonian packings and hyperbolic geometry'. Together they form a unique fingerprint.

Cite this