Tuesday, Sept 4, 2012

Now down to work. We learn to grow fractal images, but first must build up the mechanics of plane transformations.

Geometry of plane transformations is the mechanics of transformations that produce more general fractals by Iterated Function Systems.
An elegant application of plane transformations to growing fractals is Iterated function systems. This method is used in image compression.
Inverse problems finding the transformations to produce a given fractal. This is a geometrical version of Johnny Carson's "Karnak the Magnificent" routine.