๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Irreducible Apollonian Configurations and Packings

โœ Scribed by Steve Butler; Ron Graham; Gerhard Guettler; Colin Mallows

Publisher
Springer
Year
2009
Tongue
English
Weight
792 KB
Volume
44
Category
Article
ISSN
0179-5376

No coin nor oath required. For personal study only.

๐Ÿ“œ SIMILAR VOLUMES

Apollonian packings and hyperbolic geome
Apollonian packings and hyperbolic geometry
โœ Minoru Ishida; Sadayoshi Kojima ๐Ÿ“‚ Article ๐Ÿ“… 1992 ๐Ÿ› Springer ๐ŸŒ English โš– 906 KB

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 compu

Dimension and Measures for a Curvilinear
Dimension and Measures for a Curvilinear Sierpinski Gasket or Apollonian Packing
โœ R.Daniel Mauldin; Mariusz Urbaล„ski ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 517 KB

In this paper we apply some results about general conformal iterated function systems to A, the residual set of a standard Apollonian packing or a curvilinear Sierpinski gasket. Within this context, it is straightforward to show that h, the Hausdorff dimension of A, is greater than 1 and the packing