Alternative Julia-type Sets: 

2: "Sine" Julia-set variations

There's a useful page by Paul Bourke and Tim Meehan about the "sin-variant" Julia set, at http://local.wasp.uwa.edu.au/~pbourke/fractals/sinjulia/ , 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

External Links

• "sine Julia", Paul Bourke

copyright © Eric Baird 2009