4.2 - More on Fractal Dimension

SimuLabs:

10. Measuring Fractal Dimension

How can one characterize these patterns we have created in the laboratory? Adjectives such as spiky, tenuous, ramified, or compact provide a qualitative nonscientific description of growth patterns. The observation that many of these growth patterns are self-similar (i.e., each piece of the pattern is geometrically similar to the whole) over many measurement scales leads to a clearer mathematical means of quantifying these patterns. Such self-similar objects are called fractals.