So-called “fairy circles” are bare, reddish-hued circular patches notably found in the Namibian grasslands and northwestern Australia. Scientists have long debated whether these unusual patterns are ...

Turing patterns, which appear as spots, stripes, or labyrinths, are ubiquitous in nature, from animal markings to desert vegetation. We study Turing pattern formation on two-dimensional growing ...

More than 70 years ago, mathematician Alan Turing proposed a mechanism that explained how patterns could emerge from bland uniformity. Scientists are still using his model—and adding new twists—to ...

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