# Fractal curve

## Mathematical curve whose shape is a fractal / From Wikipedia, the free encyclopedia

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A **fractal curve** is, loosely, a mathematical curve whose shape retains the same general pattern of irregularity, regardless of how high it is magnified, that is, its graph takes the form of a fractal.^{[1]} In general, fractal curves are nowhere rectifiable curves — that is, they do not have finite length — and every subarc longer than a single point has infinite length.^{[2]}

A famous example is the boundary of the Mandelbrot set.