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 fractal is defined by two transformations in three-dimensional
space: a rotation where the rotation angle varies with the sine of the
distance to a plane followed by a contraction, and a mirroring followed
by a contraction to a point in the mirror plane. It is rendered in
elmfract using diffuse reflection, and calculating shadows. Behind the
fractal, in the plane of the picture, a blue plane is drawn on which a
shadow of the fractal is cast. The picture was calculated at 1280x960
pixels, and then scaled to 640x480 for anti-aliasing. For the fractal
3.35544e+07 points were calculated.
