Fractals A fractal is a geometric object that has an infinite complexity and scaling that allows it to reach intermediate dimensions of space. Think of a line or square on a piece of paper. A line is one dimension, it only has one direction, a square has two dimensions it moves in two directions. But what about a line that has an infinite number of small squiggles? The other part of a fractal is self similarity, or repetition throughout its parts. This can be seen in a tree for instance, where small branches often mimic or are similar to the shape of large branches, and the tree itself. These patterns are very natural, and also very easy to simulate on computers.


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