Apollonian packings and hyperbolic geometry

Minoru Ishida, Sadayoshi Kojima

研究成果: Article

1 引用 (Scopus)

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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.

元の言語English
ページ(範囲)265-283
ページ数19
ジャーナルGeometriae Dedicata
43
発行部数3
DOI
出版物ステータスPublished - 1992 9 1
外部発表Yes

ASJC Scopus subject areas

  • Geometry and Topology

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