**Xeno **- from the Greek word "Xenos", meaning stranger. In biology, it is often used to designate species difference.

**Fracta**l - is generally "a rough or fragmented geometric shape that can be split into parts, each of which is (at least approximately) a reduced-size copy of the whole," a property called self-similarity. The term was coined by Benoît Mandelbrot in 1975 and was derived from the Latin fractus meaning "broken" or "fractured." A fractal is based on an mathematical equation that undergoes iteration, a form of feedback based on recursion.

Keith Still, Benoit Mandelbrot, Nick Gogerty

The pictures below show the natural beauty of these fascinating mathematical objects. Deep zoom reveals biological shapes within the initial fractal structure. These are both iterative and recursive and the iPad app allows the user explore a few of the many thousands already catalogued. Although these are crude graphics (640x480 16 colour) the nature of the algorithms blends the shapes and colours into some fascinating patterns.

A whole new set of code was produced over Christmas (2011) - follow *the development blog* for more details.

The images below were from the original Orchid Fractal Generator (the original name for the Xenofractals was Orchid Fractals). I changed the name for a number of reasons. Not all of them looked like Orchids. People kept mis-pronouncing the name "Orchid" as "Orchard". I much preferred the name Xenofractals (far more descriptive of the functions and algorithms).