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 Möbius 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 discretization s of the quotient of two Airy functions. The online version of this paper contains Java 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.
| Original language | English |
|---|---|
| Pages (from-to) | 141-150 |
| Number of pages | 10 |
| Journal | Experimental Mathematics |
| Volume | 10 |
| Issue number | 1 |
| DOIs | |
| State | Published - 2001 |
| Externally published | Yes |
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