last update: 01/September/2024 History

What this site is about

My goal is finding functions, which generate fractal sets. For example the function z2+c is the generating function of the famous Mandelbrot Set.
Basic functions you can find in the section: Basic Functions, Basic Desert, Basic Transcedental, Basic ZC Functions, Basic Transcedental ZC and Basic Ferguson.
Generation functions you can find in the section: Generation Functions or Function Blog.
Section Topics highlights certain topics. Babbage c-Functions belong to the first topic.
Beauty you will find in: Blog, MathPics Blog, Mandala Blog, Video Blog, Variants or Old website.
Clicking on small thumbnail images will show you the large version, clicking on the formulas below will lead you to the respective section.
\(\mathbf{\bf\delta\:\sqrt{z^2+1}+c}\)
\(\mathbf{\bf-\delta\:\sqrt{1-z^2}+c}\)
Another goal is finding transformations for functions:
C-Transformation
C-Transformation
C-Transformation
Z-Transformation
I-Transformation
I-Transformation
Are you interested in the mathematics behind these images? Visit the Math Section.
In the Math Section are beautiful images, too.
If you like you can visit my youtube channel with fractal animations.