Jim Crutchfield, a pioneer in chaos and complexity theory, wants to understand where patterns and organization come from, how nature makes them, and how we can discover new ones. His modest goal is to ...

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Some animals carry patterns so precise and mathematically exact that scientists struggle to explain how nature produced them ...

Most of us are vaguely familiar with the brittle star -- the slender, five-armed cousin of the starfish. But perhaps you were not aware of how amazingly ubiquitous they are throughout all the oceans ...

When we feel like we don't have command of our own fate, our brains often invent patterns that offer a sense of self-control. Some folks knock on wood or step over cracks in the sidewalk. Scientists ...

The discovery may aid research in both mathematics and materials science. “Prime numbers have beautiful structural properties, including unexpected order, hyperuniformity and effective limit-periodic ...