Koch snowflake

The Koch snowflake is a mathematical shape created by starting with an equilateral triangle and repeatedly adding smaller triangles to each side. In each step, the middle third of every line segment is removed and replaced with two segments forming a peak, creating a more intricate outline. This process is repeated infinitely, resulting in a highly detailed, snowflake-like boundary that is both infinitely long and bounded. The shape exemplifies how simple, repetitive rules can generate complex, fractal patterns with endless detail, and it's often used to study concepts like geometric complexity and fractal dimensions.