Koch curve
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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
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[edit] Illustrations
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[edit] Iteration
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 SVG, 1 step |
 SVG, 2 steps |
 SVG, 3 steps |
 SVG, 4 steps |
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 SVG, 7 steps |
[edit] Animations
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[edit] Variants
 Koch surface. Extension in higher dimension |
 iterations of the Koch surface. |
 Quadratic Koch curve (type 1). |
 Iterations of the quadratic Koch curve (type 1). |
 Quadratic Koch curve (type 2). |
 Iterations of the quadratic Koch curve (type 2). |
.png) Quadratic Koch surface(type 1). After 2 iterations. |
 Quadratic Koch surface(type 2). After 1 iteration. |
