Fractals pictures – why are they so great?

Fractals pictures are fascinating to many people and when you see a fractals gallery you are amazed even if you don’t know what represent those pictures. The repetitive patterns, the beautiful colors and the depth of the vision are simply great! Even more amazing is that you can see fractals pictures in your real life, in nature and in many things that surrounds you.

So what are these fractals? Before looking to the pictures below just wanted to say that a fractal is a mathematical set that has a fractal dimension(a ratio providing a statistical index of complexity comparing how detail in a pattern (strictly speaking, a fractal pattern) changes with the scale at which it is measured.) that usually exceeds its topological dimension and may fall between the integers. Fractals are typically self-similar patterns, where self-similar means they are “the same from near as from far”. Fractals may be exactly the same at every scale, as you will see if you will zoom some of the below fractals pictures, or they may be nearly the same at different scales. The definition of fractal goes beyond self-similarity per se to exclude trivial self-similarity and include the idea of a detailed pattern repeating itself.
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