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Danca Fractal

Written by Paul Bourke
In conjuction with Marius-F Danca.
March 2008

The following images/visualisation are explorations of the series below, where z, c1, and c2 are all complex.

zn+1 = (zn2 + c1)2 + c2

Connectedness of Julia sets

3D forms resulting from slices of the 4D space by each axis plane (at the origin)

Plane slices through each of the above 3D forms

Other images

Slices through 3D section