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 ...

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 ...

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 ...

For many decades now, scientists and biologists have been trying to understand how the mesmerising patterns in animal coats emerge from a group of underdeveloped cells. The British mathematician Alan ...

The mechanism behind leopard spots and zebra stripes also appears to explain the patterned growth of a bismuth crystal, extending Alan Turing’s 1952 idea to the atomic scale. The stripes looked like a ...

A primordial developmental toolkit shared by all vertebrates, and described by a theory of the mathematician Alan Turing, sets the growth pattern for all types of skin structures. In 1952, well before ...

Structure and morphological characterization of Turing PtNiNb. Hydrogen energy has emerged as a promising alternative to fossil fuels, offering a clean and sustainable energy source. However, the ...

Desert plants naturally group in patterns that Alan Turing predicted in 1952. Polymath dynamo Turing is most famous for the Turing machine. Plants in Turing patterns are able to retain water and ...