Dimension

Each third of the Koch Snowflake converges to a limiting curve K that is a self-similar fractal. If K is scaled by a factor of r=1/3, then there are N=4 copies of the scaled version making up the entire set K. Hence, the fractal dimension of K is given by the following cell.

Input := 

dimension[4,1/3]

Output =

1.26186

Since the dimension of the snowflake (1.26186) is greater than the dimension of the lines making up the curve (1), the Koch Snowflake is a fractal.