fractal


last updated: 20050327 
Since everyone has a computer, the fractal is a popular curve to play with.
But what is a fractal? The name fractal is derived from the idea that the dimension of
such a curve is a fraction of an integer. Since some interesting fractallike curves do
have an integer dimension, there is no ground left for this relationship.
However, the
name fractal persisted.
You could say that a fractal is a complex curve, for which a certain amount of similarity
can be seen, when magnifying parts of the curve.
The curves were discovered in the late 17th century, and they shocked the
mathematicians of that era.
A special case of the fractals are the spacefilling
curves, curves which completely fill an area:
A socalled base motif fractal can be
generated by an iteration of implementations of a motif on a base:
Other fractals are the following:
In 3d we have the following fractal:
