THIRD.QTM       sept 9, 1992 As the parameters in an 
iterated function system are changed, the resulting 
attractor changes (continuously).  Here is an example 
of that, based on two non-commuting affine 
transformations:   (T1)    x' =  (1/3) x + (1/3) y
                           y' =            (1/3) y   
                   (T2)    x' =  (1/3) x           + e           
                           y' =  (1/3) x + (1/3) y + f 
We watch what happens as the point (e,f) moves around a circle. 
[ref: Suppl. Rend. Circ. Mat. Palermo 28 (1992) p. 350.]
The individual frames were computed by "Fractal Attraction"
(Academic Press -- I wrote the wrong publisher on the last
one), then made into a movie with Apple's QuickTime 
software.  This file is "flattened, data fork only", so it will
be possible (Real Soon Now) to view it on platforms other than Mac.