Nature is rough, and until very recently this roughness was impossible to measure. The discovery of fractal geometry made it possible to mathematically explore the kinds of rough irregularities that exist in nature.
A fractal is a picture that tells the story of the process that created it. A rough or fragmented geometric shape that can be subdivided in parts, each of which is (at least approximately) a reduced/size copy of the whole.
Fractal geometry brings an extra dimension to geometric craft. Fractals itself are invisible to the naked eye, but in nature’s hidden dimension they are a true piece of art themselves. A fractal is a never ending pattern that repeats itself at different scales. This property is called “Self-Similarity.” Fractals are extremely complex, sometimes infinitely complex – meaning you can zoom in and find the same shapes forever. A fractal is made by repeating a simple process again and again.
The word Fractal is based on the Latin word ‘frãctus’ meaning “broken” or “fractured”
Fractals are found all over nature, spanning a huge range of scales. We find the same patterns again and again, from the tiny branching of our blood vessels and neurons to the branching of trees, lightning bolts, snowflakes, river networks and even the clustering of galaxies. Regardless of scale, these patterns are all formed by repeating a simple branching process.