Have you ever found yourself captivated by the intricate repeating designs on fabric, wrapping paper, and more? There’s something truly magical about repeating patterns that can transform ordinary ...

SAN DIEGO — A mathematical tale of how tigers got their stripes and leopards acquired spots has undergone a slight revision. In 1952, computer scientist and polymath Alan Turing devised a theory about ...

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 ...

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 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 ...

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 ...

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 ...

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 ...