Fractal Explorer

Koch curve source:

Koch Curve

Koch curve 1 iteration:

Koch Curve

Koch curve 2 iterations:

Koch Curve

Koch curve 3 iterations:

Koch Curve

Fractal Explorer

The Koch curve

The Koch curve fractal was first introduced in 1904 by Helge von Koch. It was one of the first fractal objects to be described.

To create a Koch curve

Mathematical aspects:

The perimeter of the Koch curve is increased by 1/4. That implys that the perimeter after an infinite number of iterations is infinite. The formula for the perimeter after k iterations is:

 

The number of the lines in a Koch curve can be determined with following formula: