Creating fractals through computers

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What are some beginner softwares for creating fractals on computers?

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I suppose you do not want to be bothered by specifics of the graphical representation - i.e. you do not want to explicitly code the graphics.

Then generally you can use pretty much the standard tools: Mathematica, Matlab (not so sure about Maple). If you can use Matlab then using Python with matplotlib should be pretty easy.

If you know how to write programs in C++ MathGL is worth a look for graphics.

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The program Fractal Stream makes good images of fractals based on complex dynamical systems.

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Check the program Mandel by Wolf Jung. It has many demos which are a good intruduction to theory. Source code is available.