Koch Curve

It is a mathematical curve described by Helge von Koch. It is a piece of a larger fractal, the Koch Snowflake and is built on the concept of recursion.

Drag the slider to see the curve



So How does it use
Recursion?

The process of repeating items in a self-similar way.


Each line divides itself to form a new curve. The first curve generates at Iteration 1.



What if we repeat it along every
edge of a Triangle

Koch curve along every edge of the triangle is the Koch Snowflake. Since the number of edges in the snowflake increase (4*3) times, it has an ∞ perimeter.



What happens when we zoom on the
Koch curve

The pattern keeps on repeating as we zoom into the curve.

Click on the curve to begin zoom