The study of pattern formation in reaction-diffusion systems and convection dynamics has opened new avenues for understanding how complex spatial structures arise from relatively simple underlying ...

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 ...

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 ...

Learn how different animals get their stripes. Would you believe the answer is… math? This is the story of a WWII wartime codebreaker and his quest to decode nature’s most beautiful patterns. Alan ...

Chris Konow researches the impact of growth on Turing patterns in the Epstein Lab. Turing patterns are named after the British mathematician Alan Turing, who proposed a mechanism for how ...

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 ...

On a March day in 2023, Ben Alessio, then a research assistant at CU Boulder, was wandering around the Birch Aquarium in La Jolla, California, when he clocked a surprising sight: a male ornate boxfish ...

Reaction-diffusion systems provide a mathematical framework for describing the interplay between local reactive processes and diffusive transport across space. In ecological settings, these models ...

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 ...

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 ...