Fractal

Definition and characteristics

As a group, these criteria form guidelines for excluding certain cases, such as those that may be self-similar without having other typically fractal features. A straight line, for instance, is self-similar but not fractal because it lacks detail, and is easily described in Euclidean language without a need for recursion.


Definition and characteristics

When Mandelbrot introduced the term fractal, he excluded magnification range as a defining characteristic in order to accommodate physical fractals with more limited ranges than their mathematical counterparts.


Fractal

![Sierpiński Carpet - Infinite perimeter and zero area](//upload.wikimedia.org/wikipedia/commons/f/f8/Sierpinski-carpet.gif)

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