Complexity Explorer Santa Fe Institute

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Introduction to Complexity (2017)

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3.6 Box-Counting Dimension » Exercise 1

Download BoxCountingDimension.nlogo.  For each fractal example, compute the box counting dimension, starting with three different initial box lengths, and continuing for at least 30 iterations of box counting.  Compare the box counting dimension with the Hausdorff dimension.  How is the difference between the two affected by different initial box lengths?