Box-Counting Dimension Practice Problems

For each of these fractals, find appropriate values of r and fill in this table.

rn N(rn) 1/rn Log(1/rn) Log(N(rn))

Plot the points (Log(1/rn),Log(rn)) and estimate the slope of the line through those points. Find a pattern in the values of N(rn) and use this pattern to compute the exact box-counting dimension.

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