Parametrized C- and Z-Transformations
If not done yet, please first have a look at C-Transformations. The term Fractal Sequence Function is defined on the definition page.The C-Transformation t(c) gets parametrized with the parameter α: t(c,α).
This parameter can be used to make a fractal animation,
where each image of the fractal animation is the rendering of the Fractal Sequence Function for a certain fix value of α.
The same kind of fractal animation "for a parametrization" is made, when an image for a fix start value s of the function f(z,c) is calculated.
So far nothing unusual, but it seems that the perfectness of the basic fractal set is invariant in respect to C-Transformations.
This means that throughout the fractal animation the animation shows Perfect Apple Manikin Sets.
A special case is the linear interpolation between two C-Transformations, where one image gets transformed to another.
On the left are links to examples.
