(maxima.info)Definitions for IFS fractals

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60.2 Definitions for IFS fractals
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Some fractals can be generated by iterative applications of contractive
affine transformations in a random way; see

   Hoggar S. G., "Mathematics for computer graphics", Cambridge
University Press 1994.

   We define a list with several contractive affine transformations, and
we randomly select the transformation in a recursive way.  The
probability of the choice of a transformation must be related with the
contraction ratio.

   You can change the transformations and find another fractal

 -- Function: sierpinskiale (<n>)

     Sierpinski Triangle: 3 contractive maps; .5 contraction constant
     and translations; all maps have the same contraction ratio.
     Argument <n> must be great enougth, 10000 or greater.

     Example:

          (%i1) load("fractals")$
          (%i2) n: 10000$
          (%i3) plot2d([discrete,sierpinskiale(n)], [style,dots])$

 -- Function: treefale (<n>)

     3 contractive maps all with the same contraction ratio.  Argument
     <n> must be great enougth, 10000 or greater.

     Example:

          (%i1) load("fractals")$
          (%i2) n: 10000$
          (%i3) plot2d([discrete,treefale(n)], [style,dots])$

 -- Function: fernfale (<n>)

     4 contractive maps, the probability to choice a transformation must
     be related with the contraction ratio.  Argument <n> must be great
     enougth, 10000 or greater.

     Example:

          (%i1) load("fractals")$
          (%i2) n: 10000$
          (%i3) plot2d([discrete,fernfale(n)], [style,dots])$