Fractals

A fractal is a 'rude or fragmented geometrical form that can be split in parts, which each are a smaller copy of its whole.' This property is called 'self fraction' and the word comes from the Latin word 'fractus', which 'fracture' means. Fractal patterns make use of enlargement, or scaling, which leads to an effect which is called 'invariability of scale'. The term 'fractal geometry' was introduced by the French mathematician Benoît Mandelbrot in The Fractal Geometry of Nature at the late fifties of last century. He studied irregular natural phenomena, such as clouds, cauliflowers, broccoli and tree branches.
The dynamic of the Spiral enables the division of patterns. A pattern can be a predictable, repeating theme which arises from a system of parts, such as a combination of geometrical forms. The most important ways to divide patterns are: rotation, reflection, translation and scaling. Combinations of those are also possible.

I believe that the Creator was inspired by geometrical proportions when he came up with the idea of the continuous creation of similar objects out of similar objects

Johannes Kepler, German mathematician, astronomer and astrologer (1571 - 1630).

With much pleasure I create surprising geometric images with fractal design software.



Below some examples. Click on an image to see in full size.