Complexity Explorer Santa Fe Institute

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Introduction to Complexity (2017)

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3.6 Box-Counting Dimension » Exercise 2

Download  Unzip the file, and put the contents of the folder in the same folder in which you have NetLogo.  Open BoxCountingApplied.nlogo.   Experiment with box counting on the two included images, and if you are ambitious, try it on your own image (see the Info tab for instructions on how to do this).    For example, find a black-and-white line drawing of another coastline (different from Great Britain) and see how box counting-dimension compares for the two coastlines, and how the measures of box-counting dimension are affected by the initial box size.   Also, see if you can find a published measured fractal dimension for the new coastline, and see how well your measured box-counting dimension matches the published dimension.