The fractals were made with `elmfract', a program I am writing
in C++ under linux. I am considering to release it on the internet
one day. The fractals are defined by two or more geometrical
transformations that include a contraction to a point. The
contraction points form the 0th order approximation of the fractals.
In the first order approximation points are generated applying the
geometrical transformation to the contraction points of the other
transformations. Subsequent order approximations are generated
applying all transformations to all points generated in the previous
iteration. Different coloring and rendering schemes are implemented.
This picture actually contains two very similar fractals, drawn
on top of each other. The transformations that define them are in
three-dimensional space, but they are rendered in a two-dimensional
fashion: the color a pixel gets varies between two colors depending
on how many points of the fractal are projected on that pixel. Both
fractals are defined by one simple contraction and two rotations
followed by a contraction where the rotation angle varies with the
sine of the distance to a plane in space. The difference between
the background and the foreground fractal lies in the contraction
factors of the rotations. No anti-aliasing was applied, since the
grainy character seems to add to the atmosphere of the picture. For
both fractals 7.17445e+06 points were generated.
