In my article, I discuss patterns that can be generated by the Diffusion and Reaction models. These models are relevant to describe various simple natural operations such as diffusive living beings reproducing under conditions of limited food. Even though the models describe very low-level natural phenomena, they reproduce extremely rich and complex patterns.

We think of design and patterns to be inseparable. Patterns in art were used from ancient Greece, Indus civilization, The Ancient Near East kingdoms to the contemporary art of today. Pattern surrounds us in nature, a unique repeating form for every creature, e.g. fish skin, Zebra, Tiger, Chameleon, and in certain conditions such as the wind patterns formed on the sand in the desserts. Certain art groups such as Art Nouveau and Natural geometry architects wanted to incorporate nature in their work hence they used patterns as the recurring element, while other groups opposed this movement of patterns including the minimalists and conceptual artists. William Moris is a pioneer in introducing the pattern element in wallpaper design back in the 19th century. The famous artist whose work included certain patterns inspired by Byzantine, greek, and Egyptian art is Gustav Klint. Yes, the same artist of the famous painting, The Kiss.

Yayoi Kusama is the artist famous for her Polka dots designed, the pattern you would notice on the kitchen tablecloth. Artists tried to imitate nature or to be inspired by the patterns found here and there. Here comes the interesting part of our work that by computationally mimicking the phenomena in nature producing these patterns, we will be able to produce designs that are yet to be found in nature. Imagine wearing a dress that has a unique pattern on its own, your favorite vans shoes with a Turing pattern, since they already used the zebra pattern on one of their sneakers.

Here are some of the interesting patterns that can be generated numerically through Diffusion-Reaction models