SimuLab 14: The Fractal Dimension of Hele-Shaw Patterns
As already discussed in Unit 2.2, a line has length L = L1. A square of side L has an area equal to L2. A cube of side L has volume L3. In each case the exponent of L reveals the dimension D of the object. A fractal can have a fractional value of D.
Using either a computer graphing program or log-log graph paper, plot logV versus logR and determine D from the slope.
2. You should also determine the fractal dimension of the final pattern by capturing the image using a digital camera, scanner, or a video camera if the computer has video capabilities. After the image has been converted into a digital image, use the Fractal Dimension program to determine the value of the dimension D.