JuliaSetPoints

JuliaSetPoints[f,z]

returns a list of coordinates approximating the real and imaginary parts of the complex numbers in the Julia set of the rational function f of the variable z.

JuliaSetPoints[c]

returns a list of coordinates of points approximating the Julia set of the function .

Details and Options

  • The Julia set of a function f is the closure of the set of all repelling fixed points of f.
  • JuliaSetPoints uses the same "InverseIteration" algorithm as JuliaSetPlot.
  • JuliaSetPoints has the options:
  • "ClosenessTolerance"0.004minimum distance between points
    "Bound"6radius around the origin in which to search
  • For polynomial functions, "Bound" is automatically determined to ensure the entire Julia set is captured.

Examples

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Basic Examples  (2)

Find points of the Julia set of :

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Find points of the Julia set of :

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Scope  (2)

Options  (2)

Properties & Relations  (2)

Possible Issues  (1)

Interactive Examples  (1)

Neat Examples  (3)

See Also

JuliaSetPlot  JuliaSetBoettcher  JuliaSetIterationCount  MandelbrotSetMemberQ

Introduced in 2014
(10.0)