The Square Curve

    The square curve is very similar to the snowflake. The only difference is that instead of an equilateral triangle, it is a equilateral square. Also that after a segment of the equilateral square is cut into three as an equilateral square is formed the three segments become five. If you remember from the snowflake the three segments became four. The equation to get the perimeter for this iteration is

Pn = P1 (5/3)^n-1







Von Koch's Snowflake