SimuLab 14: The Fractal Dimension of Hele-Shaw Patterns
As already discussed in Unit 2.2, a line has length L = L^{1}. A square of side L has an area equal to L^{2}. A cube of side L has volume L^{3}. 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.