Koch snowflake/Recursive/Description/Example

The Koch snowflakes are given by the sequence of plane geometric shapes ${}K_{n}$, which are defined recursively in the following way: The starting object ${}K_{0}$ is an equilateral triangle. The object ${}K_{n+1}$ is obtained from ${}K_{n}$ by replacing in each edge of ${}K_{n}$ the third in the middle by the corresponding equilateral triangle showing outside.