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Doyle Spirals and Möbius Transformations

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spiral
P
4
Q
30
type of graphic
basic
Möbius
P-Q graph
colors
item
circle
disk
sphere
P
Q
Doyle spirals are special logarithmic spirals of touching circles in which every circle is surrounded by a corona of six touching circles. A linear fractional transformation (or Möbius transformation) is applied to map such spirals (in particular, circle packings) into double spirals.
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