Complexity Explorer Santa Few Institute

Fractals and Scaling (Fall, 2015)

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3.2 Basic Box-Counting » Quiz 2: Box-counting the Cantor set

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Instructions

These questions refer to the Cantor set.  The first several steps in the construction of the set are shown in the figure below.  Assume that the initial length of the line segment is 1. 

Based on the above numbers, what is the box-counting dimension of the Cantor set?  I'll go over this in the next video.  But I'd suggest trying it yourself first.