Spiral Septagon fractal

Written by Paul Bourke
Inspired by Chris Thomasson
July 2019

The following fractal is formed by considering the behaviour of the following complex series.

Where z0 is the point on the complex plane under consideration.

Every little detail is another infinite collection of infinitely nested spirals ... or so it seems.

Diameter is about 2 units.

Zoom into 0.1 units wide.

Zoom into 0.01 units wide.