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/r_n),Log(r_n)) and estimate the slope of the line through those points.

Find a pattern in the values of N(r_n) and use this pattern to compute the exact box-counting dimension.

Here is the answer.		Here is the answer.
Here is the answer.		Here is the answer.

Return to box-counting dimension.