Fractal GeometryFractal geometry is a branch of mathematics having to do with fractals. Fractals are geometric figures, just like rectangles, circles and squares, but fractals have special properties that those figures do not have. In geometry two figures

Fractal Geometry


Fractal geometry is a branch of mathematics having to do with fractals. Fractals are geometric figures, just like rectangles, circles and squares, but fractals have special properties that those figures do not have. In geometry two figures are similar if their corresponding angles are congruent in measure. Fractals are self-similar meaning that at every level the fractal image repeats itself. An example of self-similarity would be a triangle made up of triangles that are the same shape or are similar to the whole.
Another important property of fractals is fractional dimensions. While in Euclidean geometry figures are either zero dimensional points, one dimensional lines, two dimensional planes, or three dimensional solids, in fractal geometry figures can have dimensions falling between these whole numbers, that is being made up of fractions. For example a fractal curve would have a dimension between one and two depending on how much space it takes up as it twist...