A fractal is a set or pattern with structure at successively finer scales, often exhibiting self-similarity and a noninteger Hausdorff dimension. Fractal geometry studies such objects.
A plane curve generated by recursively folding or by a suitable L-system. One drawing convention uses the productions and , where moves forward, turn by , and expand but do not draw. Summaries of whole expanded blocks permit a position after a large number of forward steps to be found by descending only into the block containing that step.
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A fractal is a complex geometric shape that can be split into parts, each of which is a reduced-scale copy of the whole. This property is known as self-similarity. Fractals are often found in nature, such as in the branching patterns of trees, the structure of snowflakes, and the contours of coastlines. Key characteristics of fractals include: 1. **Self-Similarity**: Fractals exhibit a repeating structure at different scales.