### TRISOM LORENZETTI Lorenzetti

Shared publicly -**Koch Curve**

**Koch curve**is one of the earliest fractal curves of which you are familiar with a description. It appeared for the first time in a document of 1904 entitled

**from the Swedish mathematician**

*Sur une sans courbe continuous tangent, obtenue par une construction géométrique élémentaire***Helge von Koch**.

The construction of Koch curve is done by repeating execution of a instruction program or recursive procedure.The algorithm of the curve is the repetition of the cycle below:

1.starting from a segment of given length, divide the segment into three equal segments;

2. clear the central segment, replacing it with two identical segments which are the two sides of an equilateral triangle;

-3. return to step 1 for each of the current segments.

Starting from a segment, you get then four (constituting a broken line) in the first cycle, 4x4 = 16 in the second cycle and so on, generating an elegant fractal. Zooming in any detail the fractal, you still get the same fractal: this is the self similarity of fractals at any level of scale.

**Related links**:

http://en.wikipedia.org/wiki/Koch_snowflake

http://www.efg2.com/Lab/FractalsAndChaos/vonKochCurve.htm

http://mathworld.wolfram.com/KochSnowflake.html

**Gif source**:

http://www.functor.co/post/68301590848/line-inside-a-fractal-inside-a-fractal-inside-a

Into the gif:

*line inside a fractal inside a fractal inside a fractal inside a draw() loop*#fractals #Koch_curve #mathematics #sciencesunday #scienceeveryday

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