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 ...

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 ...

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 ...

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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 ...

Patterns of chemical interactions are thought to create patterns in nature such as stripes and spots. This new study shows that the mathematical basis of these patterns also governs how sperm tail ...

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 ...

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 ...

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 ...