Boettcher function is a solution of Boettcher's functional equation, so in case of complex quadratic map:

$B(f(z)) = (B(z))^2$


There is a function MandelbrotSetBoettcher in Mathematica.

What algorithm is used in MandelbrotSetBoettcher ?

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I can use lab to see internal code. ( way from code to algorithm is hard)

At the end is :

MandelbrotSetBoettcher[___][___] :=kernel function

Does it mean that code is protected ?

  • 1
    $\begingroup$ You can see the internal code that computes the map by running Get["GeneralUtilities`"]; PrintDefinitions[MandelbrotSetBoettcher]. $\endgroup$ – QuantumDot Nov 25 '17 at 16:28
  • $\begingroup$ Did you find the definition of ` System`FractalSetsBoettcherDump`cfMandelbrotSetBoettcher` when looking at the internal code? $\endgroup$ – Jason B. Nov 26 '17 at 21:33
  • $\begingroup$ no, only :MandelbrotSetBoettcher[z:Alternatives[Complex,_Real,PatternTest[, Function[ArrayQ[#, _, InexactNumberQ]]]],opts .... $\endgroup$ – Adam Nov 28 '17 at 17:00

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