DescriptionDoyle spiral (6,8) with spirals colored part1.svg
English: See en:Doyle spiral, a type of circle packing with the property that each circle is tangent to six other circles, and those six circles form a ring of tangencies. Under these conditions, a Doyle spiral may be parametrized by two natural numbers (p,q) which count the number of sub-spirals, called arms, of each of three types (the third type having q-p arms). In this case, (p,q)=(6,8) and all eight arms of one type are colored.
The image was constructed using a JavaScript program, with coordinates derived from an adaptation of the root-finding and repeated complex-multiplication method at [1].
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Captions
Doyle spiral with (p,q) = (6,8), with 8 spirals ("arms") colored, indicating how the arms are counted