ISSN:
1572-9168
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract 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.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01263534
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