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Apollonian packings and hyperbolic geometry

โœ Scribed by Minoru Ishida; Sadayoshi Kojima

Publisher
Springer
Year
1992
Tongue
English
Weight
906 KB
Volume
43
Category
Article
ISSN
0046-5755

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โœฆ Synopsis

We review the generalized apollonian packings by Bessis and Demko from 3dimensional 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.

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