# Tiny Recursions II

Came up with a short, recursive algorithm to calculate the perimeter of Koch snowflakes (Note that I wrote the code before looking it up on Wikipedia).

def koch(length: Double, it: Int): Double = {
def kochRec(currLength: Double, currIt: Int): Double = {
if (currIt == 0) currLength
else 4 * kochRec(currLength / 3, currIt - 1)
}
3 * kochRec(length, it)
}


The idea is this: Looking at only one side of the triangle, every iteration gives another four sides at 1/3 of it’s previous length. Multiplying by three at the end gives the correct perimeter after it iterations.

© 2017 Florian Klampfer