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Side-by-side illustrations of the same linear hypergraph. The edges of the hypergraph are colored in the illustration on the right, but not in the illustration on the left.
combinatorics

Mathematicians Settle Erdős Coloring Conjecture

By Kelsey Houston-Edwards
April 5, 2021
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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.

A close-up, head-on portrait of computer scientist Rediet Abebe.
Q&A

A Computer Scientist Who Tackles Inequality Through Algorithms

By Rachel Crowell
April 1, 2021
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Rediet Abebe uses the tools of theoretical computer science to understand pressing social problems — and try to fix them.

developmental biology

Cells Form Into ‘Xenobots’ on Their Own

By Philip Ball
March 31, 2021
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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.

A graphic showing that changing any of the digits of 505, 447 turns it into a composite number
prime numbers

Mathematicians Find a New Class of Digitally Delicate Primes

By Steve Nadis
March 30, 2021
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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.

Spheres representing black holes, with small ones on top, large ones on the bottom, and one midsize example in the middle.
astrophysics

Long-Missing Midsize Black Hole Flashes Into View

By Jonathan O'Callaghan
March 29, 2021
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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.

Insights puzzle

Finding Zen in the Art of Puzzle Solving

By Pradeep Mutalik
March 26, 2021
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Readers used their Zen-like puzzle solving skills to discover hidden insights.

A mosaic of five microscope images of igneous rocks. The rocks are dappled with blue, pink, orange and multicolor inclusions.
geology

Scientists Pin Down When Earth’s Crust Cracked, Then Came to Life

By Howard Lee
March 25, 2021
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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.

Orange hills (polaritons) against a black background. Below each hill, an arrow points to an angular position on a circle.
explainers

The Near-Magical Mystery of Quasiparticles

By Thomas Lewton
March 24, 2021
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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.

A graphic showing improvements in the speed of matrix multiplication
algorithms

Matrix Multiplication Inches Closer to Mythic Goal

By Kevin Hartnett
March 23, 2021
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A recent paper set the fastest record for multiplying two matrices. But it also marks the end of the line for a method researchers have relied on for decades to make improvements.


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