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.

CoormaBak9 2021-03-07 Answered
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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Expert Answer

mhalmantus
Answered 2021-03-08 Author has 106 answers
Formula used:
The similarity dimension of a strictly-similar fractal is given by
D=logNlogr
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=log5log4=1.161
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