Over 8,000 years ago, early farming communities in northern Mesopotamia were already thinking mathematically—long before ...

Symmetry abounds in nature, often in its most beautiful forms. A perfect snowflake, a blooming sunflower, a light-harvesting complex from a bacterium—they all exhibit striking symmetry, crafted by ...

Quantum computers promise to solve problems that overwhelm classical machines, but their most stubborn obstacle is noise that scrambles fragile quantum states before any useful answer emerges. A new ...

A leopard is chasing a zebra, bound to follow the laws of nature and natural selection, down a sand dune and across a plain of dried mud, bound to the laws of geology and sediments. The stripes of the ...

Mirroring the mechanisms that make human faces and bodies—and those of many multicellular organisms—symmetrical, bee colonies build symmetrical nests when they are placed on either side of a ...

Look in the mirror. Is one eye slightly higher than the other? Is your smile a bit lopsided? These tiny asymmetries might seem like nothing more than quirky physical traits, but they could be ...

Scientists have discovered a new factor – a noggin-like gene – that plays a key role in controlling the pathway responsible for dorsoventral symmetry in animal phylogeny. A team from the Department of ...

Philosophical Transactions: Biological Sciences, Vol. 367, No. 1598, Pattern perception and computational complexity (19 July 2012), pp. 2007-2022 (16 pages) Formal language theory has been extended ...