Koch curve source:

Koch curve 1 iteration:

Koch curve 2 iterations:

Koch curve 3 iterations:

# 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

- create a line and divide it into three parts
- the second part is now rotated by 60°
- add another part which goes from the end of part 2 to to the beginning of part 3
- repeat with each part

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: