About: Fractal curve

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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. 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. A famous example is the boundary of the Mandelbrot set.

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  • Una curva fractal es, en términos generales, un tipo de curva matemática cuya forma conserva el mismo patrón general de , independientemente de cuánto se aumente el detalle con el que se representa, de manera que su gráfico posee una configuración fractal.​ Por lo general, no son rectificables, es decir, su longitud de arco no es finita, y cada fragmento del arco de la curva más largo que un solo punto tiene longitud infinita.​ Un ejemplo extremadamente famoso es el contorno del conjunto de Mandelbrot. (es)
  • 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. A famous example is the boundary of the Mandelbrot set. (en)
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  • Una curva fractal es, en términos generales, un tipo de curva matemática cuya forma conserva el mismo patrón general de , independientemente de cuánto se aumente el detalle con el que se representa, de manera que su gráfico posee una configuración fractal.​ Por lo general, no son rectificables, es decir, su longitud de arco no es finita, y cada fragmento del arco de la curva más largo que un solo punto tiene longitud infinita.​ Un ejemplo extremadamente famoso es el contorno del conjunto de Mandelbrot. (es)
  • 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. A famous example is the boundary of the Mandelbrot set. (en)
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  • Curva fractal (es)
  • Fractal curve (en)
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