(iterated function system)


A set of affine transformations is defined. Here a set of three. The square drawn with thicker pen strokes represents the unit square (0,0)-(0-1)-(1,1)-(1,0), with the y-axis down. The square ( or figure ) with thinner pen strokes is the resulting image, after the transformation is applied.

  • Step 0: Start from point (0,0)
  • Step 1: Apply to this point the three transformations. Three images of this point are obtained.
  • Step 2: To the 3 result points of step 1, the same transformations are applied to produce 9 points.
  • Step 3: To the 9 result points ...
  • and so on...
  • Draw these points.