The formula for calculating fractal dimension is:
\[ D = \frac{\log(N)}{\log(S)} \]
Where:
The fractal dimension is a measure of the complexity of a fractal. It quantifies how detail in a pattern changes with the scale at which it is measured. This concept is used in various fields, including mathematics, physics, and biology, to describe the intricate structures of natural and artificial systems.
Let's assume the following values:
Using the formula to calculate the fractal dimension:
\[ D = \frac{\log(8)}{\log(2)} = 3 \]
The fractal dimension is 3.