Koch curve
English: The Koch curve is the same as the snowflake, except it starts with a line segment instead of an equilateral triangle.
Deutsch: Die Koch-Kurve oder kochsche Kurve ist ein von dem schwedischen Mathematiker Helge von Koch 1904 vorgestelltes Beispiel für eine überall stetige, aber nirgends differenzierbare Kurve.
See also: Koch snowflake
Illustrations
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SVG, 1 step
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SVG, 2 steps
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SVG, 3 steps
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SVG, 4 steps
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SVG, 5 steps
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SVG, 6 steps
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SVG, 7 steps
Animations
editVariants
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Koch surface. Extension in higher dimension
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iterations of the Koch surface.
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Quadratic Koch curve (type 1).
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Iterations of the quadratic Koch curve (type 1).
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Quadratic Koch curve (type 2).
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Iterations of the quadratic Koch curve (type 2).
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Quadratic Koch surface(type 1). After 2 iterations.
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Quadratic Koch surface(type 2). After 1 iteration.
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A Koch curve extended into three dimensions.
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An animation of a 3D Koch curve.