Formula used:

The similarity dimension of a strictly-similar fractal is given by

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

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.

\(\displaystyle{D}=\frac{{{\log{{5}}}}}{{{\log{{4}}}}}={1.161}\)

The similarity dimension of a strictly-similar fractal is given by

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

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.

\(\displaystyle{D}=\frac{{{\log{{5}}}}}{{{\log{{4}}}}}={1.161}\)