Fractals are a intricate design pattern generally self repetitive and aesthetically pleasing. They are things you see in everyday life, snowflakes, coast lines, fruits. Nature likes to deal with fractals and why not considering there is such symmetry.
Being introduced to fractals in my course and learning about the pioneering fractals has been pleasurable. Learning that Turing was really interested in reaction diffusions for morphogenesis and made some pioneering contributions has only increased my admiration of the queer genius.
Some of the images do look like the Rorschach test replications, they seem nice, generally colourful in a hue of blue, yellow or red. Turing was trying to set up a mathematical or state model explanation for the generation of patterns in nature. How does a cheetah get its dots, how does a zebra get its stripes and the general things common people never ponder over.
It is amazing how a small set of rules and parameters generate the most intricate patterns. You can have a look at them here : http://cgjennings.ca/toybox/turingmorph/. There is a nice applet which animates the whole process.
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