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