GROUP-THEORY OF HYPERBOLIC CIRCLE PACKINGS

被引：13

作者：

BULLETT, S ^{[1
]}

MANTICA, G ^{[1
]}

机构：

[1] CENS,SERV PHYS,F-91191 GIF SUR YVETTE,FRANCE

来源：

NONLINEARITY | 1992年 / 5卷 / 05期

关键词：

D O I：

10.1088/0951-7715/5/5/004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Circle packings can be generated by combining hyperbolic and spherical (or Euclidean) tessellation groups. These packings are non-osculatory, and yet complete: an area of full measure is covered by a set of non-overlapping, non-tangent discs. We provide the general group-theoretical framework associated to an efficient, geometrically inspired, construction of these packings. We classify the different structures that can be obtained in this way, and we investigate their fractal properties.

引用

页码：1085 / 1109

页数：25

共 19 条

[1] FUNDAMENTAL POLYHEDRONS AND LIMIT POINT SETS OF KLEINIAN GROUPS [J].