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.
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" 0.004 minimum distance between points "Bound" 6 radius around the origin in which to search
- For polynomial functions, "Bound" is automatically determined to ensure the entire Julia set is captured.
Examplesopen allclose all
Properties & Relations (2)
Possible Issues (1)
Wolfram Research (2014), JuliaSetPoints, Wolfram Language function, https://reference.wolfram.com/language/ref/JuliaSetPoints.html.
Wolfram Language. 2014. "JuliaSetPoints." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/JuliaSetPoints.html.
Wolfram Language. (2014). JuliaSetPoints. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/JuliaSetPoints.html