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 is either space-filling or 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 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 is either space-filling or 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.
Source: Wikipedia "Fractal curve" · CC BY-SA 4.0
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