# Compute the similarity dimension of a strictly self-similar fractal with a replacement ratio of 5 and a scaling ratio of 4. Round to the nearest thousandth.

Compute the similarity dimension of a strictly self-similar fractal with a replacement ratio of 5 and a scaling ratio of 4. Round to the nearest thousandth.
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mhalmantus
Formula used:
The similarity dimension of a strictly-similar fractal is given by
$D=\frac{\mathrm{log}N}{\mathrm{log}r}$
Where N is the replacement ratio of the fractal and ris the scaling ratio.
Calculation:
We have, N = 5 and r = 4. Now, use the formula for similarity dimension D of square fractal to calculate it as shown below.
$D=\frac{\mathrm{log}5}{\mathrm{log}4}=1.161$
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