Enter the number of miniature pieces in the final figure and the scaling factor into the Calculator. The calculator will evaluate the Fractal Dimension. 

Fractal Dimension Formula

D = log (N) / log (S)

Variables:

  • D is the Fractal Dimension ()
  • N is the number of miniature pieces in the final figure
  • S is the scaling factor

To calculate Fractal Dimension, divide the log of the miniature pieces in the final figure by the log of the scaling factor.

How to Calculate Fractal Dimension?

The following steps outline how to calculate the Fractal Dimension.

  1. First, determine the number of miniature pieces in the final figure. 
  2. Next, determine the scaling factor. 
  3. Next, gather the formula from above = D = log (N) / log (S).
  4. Finally, calculate the Fractal Dimension.
  5. After inserting the variables and calculating the result, check your answer with the calculator above.

Example Problem : 

Use the following variables as an example problem to test your knowledge.

number of miniature pieces in the final figure = 64

scaling factor = 2