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Complex circle spiral

Ed Pegg, Wolfram Research
Posted 3 days ago

POSTED BY: Ed Pegg
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Turns out this is the 1-4 Doyle Spiral. enter image description here

Here's the 1-5 spiral.
enter image description here
The whole series seems to have unusual symmetry polynomials.
POSTED BY: Ed Pegg
Hans Milton
Hans Milton
Posted 3 days ago

Looks a bit like Ford circles over Farey fractions

fordCircles[n_]:=Map[{{#,1/(2 Denominator[#]^2)},1/(2 Denominator[#]^2)}&,FareySequence[n]]

fordCirclesGraph[n_]:=Graphics[
  Map[Circle@@fordCircles[n][[#]]&,Range@Length@fordCircles[n]],
  PlotRange->{{0,1},{Automatic,0.5}}
]

enter image description here
POSTED BY: Hans Milton
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