Figure 1.
Examples of fractals with dimensions. a) A line is one-dimensional [Fractal Dimension = 1.0000]. b) The Koch Curve is somewhere between one and two dimensions [D = 1.2619]. c) The Sierpinski Triangle is closer to two dimensions that the Koch Curve [Fractal Dimension = 1.5849]. d) A solid rectangle is two-dimensional [Fractal Dimension = 2.0000].