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Easier - A fractal is a shape often drawn by a computer that repeats itself in a pattern. Harder - Fractals are endlessly repeating patterns that vary according to a set formula n ( Accesskey R) Save ( Accesskey S) Download Fresh URL Open Local Reset ( Accesskey X). While the mathematical equations behind fractals can be beyond the layman’ s understanding, everyone can appreciate their visual beauty. Maze Classification.

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The Mandelbrot set is the set of complex numbers for which the function ( ) = + does not diverge when iterated from =, i. , for which the sequence ( ), ( ( ) ), etc.
, remains bounded in absolute value.
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Mandelbrot Fractals. Mandelbrot fractals are the result of iterating a fractal formula. A fractal formula is a statement like: z = z^ 2 + c.

This statement takes 2 complex values found in the variables z and c, and combines them based on the expression to the right of the equal sign; in this case, by squaring z and adding c to the result.

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The resulting complex value is assigned to the mathematics, a fractal is a subset of a Euclidean space for which the Hausdorff dimension strictly exceeds the topological actals are encountered ubiquitously in nature due to their tendency to appear nearly the same at different levels, as is illustrated here in the successively small magnifications of the Mandelbrot set. Fractals exhibit similar patterns at increasingly small.

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Documentation Roadmap. See the Product Overview for a more detailed overview of the Fractal Science Kit fractal generator or delve right into the product documentation using the links on the left. For a complete list of topics, view the Site Map.

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After you download the application, see Getting Started for tips on what to do next. The different Fractal Types are explained in the sections on.

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