Name
Abstract | ||
|---|---|---|
From the geometric study of the elementary cell of hexagonal circle packings -a flower of 7 circles -the class of conformally symmetric circle packings is defined. Up to Mobius transformations, this class is a three parameter family, that contains the famous Doyle spirals as a special case. The solutions are given explicitly. It is shown that these circle packings can be viewed as discretizations of the quotient of two Airy functions. The online version of this paper contains lava applets that let you experiment with the circle packings directly. The applets are found at http:/www-sfb288. math.tu-berlin.de/Publications/ online/cscpOnline/Applets.html. |
Year | DOI | Venue |
|---|---|---|
2001 | 10.1080/10586458.2001.10504437 | EXPERIMENTAL MATHEMATICS |
Keywords | Field | DocType |
circle packing,differential geometry,java applet | Topology,Discretization,Combinatorics,Mathematical analysis,Hexagonal crystal system,Quotient,Unit circle,Generalised circle,Airy function,Mathematics,Special case | Journal |
Volume | Issue | ISSN |
10.0 | 1.0 | 1058-6458 |
Citations | PageRank | References |
3 | 0.49 | 1 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Alexander I. Bobenko | 1 | 182 | 17.20 |
| Tim Hoffmann | 2 | 17 | 3.16 |