Question

Find the dimension of fractal with a scaling ratio of r=3 and a replacement ratio of N=11. Round you answer to the nearest hundredth

Answer 1

Given the sacling factor "r" and the replacement ration"N", we can determine the dimension of a fractal by means of the following formula:

`D=(\log(N))/(\log(r))`

D is the dimension. By replacing 11 for N and 3 for r, we get:

`D=(\log (11))/(\log (3))=2.18`

Then, the dimension of the fractal is 2.18