SPIRAL HEXAGONAL CIRCLE PACKINGS IN THE PLANE

被引：12
|
作者：
BEARDON, AF
DUBEJKO, T
STEPHENSON, K
机构：
[1] UNIV CAMBRIDGE,DEPT PURE MATH & MATH STAT,CAMBRIDGE CB2 1SB,ENGLAND
[2] UNIV TENNESSEE,DEPT MATH,KNOXVILLE,TN 37996
来源：
GEOMETRIAE DEDICATA | 1994年 / 49卷 / 01期
关键词：
D O I：
10.1007/BF01263534
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We discuss an intriguing geometric algorithm which generates infinite spiral patterns of packed circles in the plane. Using Kleinian group and covering theory, we construct a complex parametrization of all such patterns and characterize those whose circles have mutually disjoint interiors. We prove that these 'coherent' spirals, along with the regular hexagonal packing, give all possible hexagonal circle packings in the plane. Several examples are illustrated.
引用
收藏
页码：39 / 70
页数：32
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