Fractal curve

A fractal curve is loosely a mathematical curve whose shape retains the same general pattern of irregularity, regardless of how high it is magnified or scaled, that is, its graph takes the form of a fractal.

In general, fractal curves are nowhere rectifiable — that is, they do not have finite length — and every subarc longer than a single point has infinite length. A famous example is the boundary of the Mandelbrot set.

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