Cool Stuff:Fractals
Alt.Fractals paperback - out January 2011



Alternative Julia-typeSets:

2: "Sine" Julia-set variations

There's auseful page by Paul Bourke and Tim Meehan about the "sin-variant" Julia set, at , exploring z --> c × sin(z). As with the normal Julia set images, we can adjust the four values that make up the components of c and the initial value components of z, to get a range of images.


This function gives nice repeating ribbon-like fractals. As before, setting parameter D to zero generates shapes with mirror-symmetry, but higher or lower values cause the shape to break up and twist clockwise or anticlockwise:

A few non-mirror-symmetrical "sine julia" images