Reaction-diffusion systems are models that move components towards each other through chemical reactions, and are transported in space by diffusion. 

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These systems and the patterns they generate can be found in nature on corals, fish, zebras and more.

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This study was done in order to better understand natural patterns and the mathematical models they're based on.

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When the mathematical model is prepared it can then generate the pattern on any given surface, and can be 'frozen' and 3D printed at any moment of it's growth.