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To minimize brain strain when thinking recursively, start simply, look for a pattern and let the pattern do the work.

Astronomers are puzzling over a paucity of planets in the galaxy measuring between 1.5 and two times Earth’s size.

For more than six decades, the influential biologist Edward O. Wilson has drawn connections between evolution, ecology and behavior, often sparking controversies inside and outside of science.

In the late 1940s, Richard Feynman invented a visual tool for simplifying particle calculations that forever changed theoretical physics.

Mathematicians used “magic functions” to prove that two highly symmetric lattices solve a myriad of problems in eight- and 24-dimensional space.

Skyrocketing animal diversity a half-billion years ago was linked to spikes and dips in marine oxygen levels, according to a detailed geological study.

A new experiment confirms the existence of “superionic ice,” a bizarre form of water that might comprise the bulk of giant icy planets throughout the universe.

It’s an educated guess, not a proof. But a good conjecture will guide math forward, pointing the way into the mathematical unknown.

Mathematicians have found that materials conduct electricity when electrons follow a universal mathematical pattern.