# How MandelbrotSetBoettcher function is computed?

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

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

where:

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 ?

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