BUILT-IN WOLFRAM LANGUAGE SYMBOL

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 OptionsDetails 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 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, is automatically determined to ensure the entire Julia set is captured.
Introduced in 2014
(10.0)