Let's try a definition:
A Fractal is a set of points whose fractal dimension exceeds its
Some common errors with fractals.
- Fractals are selfsimilar.
In fact some are but not all. Of course this
depends on the definition of the word "fractal" and the word "selfsimilar".
Most times the word "scale invariance" is what is meant, but even this is
not always the case.
- Fractal dimension is uniquely defined.
In fact there are Reni-
Boxcounting- Yardstick- and a few other dimensions which may be all different.
The Renidimension of first order is also called information dimension the
second order correlation dimension.