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MathGroup Archive 2003

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Re: fractals in Mathematica

  • To: mathgroup at smc.vnet.net
  • Subject: [mg44238] Re: fractals in Mathematica
  • From: Matthias <no at spam.pls>
  • Date: Fri, 31 Oct 2003 03:01:04 -0500 (EST)
  • Organization: Rechenzentrum Uni-Mannheim
  • References: <bnnvbp$61b$1@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

mathma18 at hotmail.com (Narasimham G.L.) writes:

> Where does one get net based Mathematica codes for fractals like
> Julia, Mandelbrot ? It should contain a line to type in various other
> functions of a complex variable with settings for number of
> iterations, color codes &c  with defaults. TIA

You can write things like that really easily in plain Mathematica:

Mandel[c_] := Module[{x = 0, i = 0},
    While[i < 100 \[And] Abs[x] < 4,
      x = x^2 + c;
      i = i + 1];
    Return[i]]

DensityPlot[Mandel[x + I y], {x, -2, 1}, {y, -1, 1}, PlotPoints -> 100, 
  Mesh -> False]


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