A pair of digraph self-similar sets

mark
Wed, 29 Nov 2017 15:36:08 +0000
Quiz or Test Prep

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.