A mixture of two types of pigment-producing cells undergoes diffusiophoretic transport to self-assemble into a hexagonal pattern. Credit: Siamak Mirfendereski and Ankur Gupta/CU Boulder A zebra’s ...

New research revisits the Turing instability mechanism; proving mathematically how the instabilities which give rise to patterns can occur through simple reactions, and in widely varied environmental ...

Turing patterns are striking examples of self-organised structures arising in reaction–diffusion systems, where the interplay of chemical reactions and diffusion processes gives rise to spatial ...

In our newly published research in Science Advances, my student Ben Alessio and I propose a potential mechanism explaining how these distinctive patterns form—that could potentially be applied to ...

Shortly before his death, Alan Turing published a provocative paper outlining his theory for how complex, irregular patterns emerge in nature—his version of how the leopard got its spots. These ...

The strikingly patterned ornate boxfish has no lack of detail when it comes to its hexagonal spots and keen stripes — the intricate markings are so sharp-edged in the species that it had engineers at ...

Turing also turned his math skills to understanding how regular features could emerge on the developing embryo. Scientists since then have applied his equations to the development of such patterns as ...

One of the things the human brain naturally excels at is recognizing all sorts of patterns, such as stripes on zebras, shells of turtles, and even the structure of crystals. Thanks to our progress in ...

In 1952, Alan Turing published a study which described mathematically how systems composed of many living organisms can form rich and diverse arrays of orderly patterns. He proposed that this ...