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, that is, its graph takes the form of a fractal. 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. An extremely famous example is the boundary of the Mandelbrot set.
Blancmange curveCoastline paradoxCurveDe Rham curveDomino tilingDragon curveErnesto CesàroFibonacci word fractalFractalFractal CurveFractal CurvesFractal FunctionFractal FunctionsFractal analysisFractal artFractal curvesFractal dimensionFractal functionFractal functionsFractal landscapeGosper curveHilbert curveHow Long Is the Coast of Britain? Statistical Self-Similarity and Fractional DimensionInfinityJordan curve theoremKoch snowflakeLichtenberg figureList of fractals by Hausdorff dimensionList of mathematical shapesLévy C curveMandelbrot setMenger spongeModular groupMoore curvePathological (mathematics)Riemann mapping theoremSierpiński curveSierpiński triangleSpace-filling curveThue–Morse sequence
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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, that is, its graph takes the form of a fractal. 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. An extremely famous example is the boundary of the Mandelbrot set.
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A fractal curve is, loosely, a ...... oundary of the Mandelbrot set.
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A fractal curve is, loosely, a ...... oundary of the Mandelbrot set.
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Fractal curve
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