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SciMax Toolbox >> mandelbrot

mandelbrot

Maxima Function

Calling Sequence

mandelbrot (options)

Description

Creates a graphics file with the representation of the Mandelbrot set. The file is created in the current directory or in the user's directory, using the XPM graphics format. The program may take several seconds to run and after it is finished, a message will be printed with the name of the file created.

The points which do not belong to the Mandelbrot set are assigned different colors, according to the number of iterations it takes the sequence generated with that point to move out of the convergence circle o radius 2. The maximum number of iterations is set with the option levels; after that number of iterations, if the sequence is still inside the convergence circle, the point will be painted with the color defined by the option color.

All the colors used for the points that do not belong to the Mandelbrot set will have the same saturation and value, but with different hue angles distributed uniformly between hue and (hue + huerange).

options is an optional sequence of options. The list of accepted options is given in a section below.

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