### Fractal Koch Snowflake Spiral

The Koch Snowflake Spiral On route to understanding if fractals have a 'wavy' like nature , I finally put pencil to paper and drew what I've been thinking. I have been pondering on what effect a 'mutation' or change to one triangle - a dot at the apex of the triangle as shown below - would have or show on the iterating Koch Snowflake. I envisaged that it would spiral to infinity as shown below. By tracing a smooth curve through the (red) 'dots' series of iterated mutant triangles, I would develop - what looks like - a kind of logarithmic spiral , or a wave or pulse if this spiral curve was viewed in the front elevation view as opposed to the plan elevation (above). Method As a circles radius (what the compass is set to) scribes 6 times around the circles circumference , the three corners of the 1st equilateral triangle (iteration 1) can be produced, and the apex of the 2nd triangle (iteration 2) can also be marked. With the compass st