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

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asked May 9, 2023 208k views

1 Answer

MIH · Answer 1 · 2023-05-15T20:42:29+0000

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