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The new volcanic fissures are more otherworldly than they first appear.

Fifty years ago, Paul Erdős and two other mathematicians came up with a graph theory problem that they thought they might solve on the spot. A team of mathematicians has finally settled it.

Rediet Abebe uses the tools of theoretical computer science to understand pressing social problems — and try to fix them.

Embryonic cells can self-assemble into new living forms that don’t resemble the bodies they usually generate, challenging old ideas of what defines an organism.

Despite finding no specific examples, researchers have proved the existence of a pervasive kind of prime number so delicate that changing any of its infinite digits renders it composite.

Black holes seemed to come only in sizes small and XXL. A new search strategy has uncovered a black hole of “intermediate” mass, raising hopes of more to come.

Readers used their Zen-like puzzle solving skills to discover hidden insights.

New data indicating that Earth’s surface broke up about 3.2 billion years ago helps clarify how plate tectonics drove the evolution of complex life.

The zoo of spontaneously emerging particlelike entities known as quasiparticles has grown quickly and become more and more exotic. Here are a few of the most curious and potentially useful examples.