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:

$D=\frac{\log(N)}{\log(r)}$

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

$D=\frac{\log (11)}{\log (3)}=2.18$

Then, the dimension of the fractal is 2.18