A pair of digraph self-similar sets

The image below shows a pair of digraph self-similar sets. All similarities are simple scalings with scaling factors of 1/3.

  1. Draw the directed graph that describes the way these sets fit together.
  2. Generate the images.
  3. Compute the common dimensions of the sets - exactly .

Note - you can download and use the latest version of my Fractal Geometry Packages . Unfortunately, the FindDigraphDimension function defined there will only provide a numerical estimate of the dimension. :(

Sign In or Register to comment.