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A complicated surface that looks like a loofah.

Paul Nylander

Latest Articles

New Proofs Probe Soap-Film Singularities

Mathematicians have broken through a long-standing barrier in the study of “minimizing surfaces,” which play an important role in both math and physics.

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To Have Machines Make Math Proofs, Turn Them Into a Puzzle

Marijn Heule turns mathematical statements into something like Sudoku puzzles, then has computers go to work on them. His proofs have been called “disgusting,” but they go beyond what any human can do.

Physicists Take the Imaginary Numbers Out of Quantum Mechanics

Quantum mechanics has at last been formulated exclusively with real numbers, bringing a mathematical puzzle at the heart of the theory into a new era of inquiry.

How Your Brain Creates ‘Aha’ Moments and Why They Stick

A sudden flash of insight is a product of your brain. Neuroscientists track the neural activity underlying an “aha” and how it might boost memory.

What Is a Manifold?

In the mid-19th century, Bernhard Riemann conceived of a new way to think about mathematical spaces, providing the foundation for modern geometry and physics.

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Carlo Rovelli’s Radical Perspective on Reality

The theoretical physicist and best-selling author finds inspiration in politics and philosophy for rethinking space and time.

Shark Data Suggests Animals Scale Like Geometric Objects

Despite their wide variety of sizes, niches and shapes, sharks scale geometrically, pointing to possible fundamental constraints on evolution.

First Shape Found That Can’t Pass Through Itself

After more than three centuries, a geometry problem that originated with a royal bet has been solved.

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Carlo Rovelli: ‘Time Is an Illusion’

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Special Features

The Joy of Why


Two cranes symmetrically poised with their beaks together below a full moon
00:00 / 46:07

Richard Prum explains why he thinks feathers and vibrant traits in birds evolved not solely for survival, but also through aesthetic choice.

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The Quantum Mechanics of Greenhouse Gases

Earth’s radiation can send some molecules spinning or vibrating, which is what makes them greenhouse gases. This infographic explains how relatively few heat-trapping molecules can have a planetary effect.

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Illuminating basic science and math research through public service journalism.

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Quanta Magazine is committed to in-depth, accurate journalism that serves the public interest. Each article braids the complexities of science with the malleable art of storytelling and is meticulously reported, edited and fact-checked. Launched and funded by the Simons Foundation, Quanta is editorially independent — our articles do not reflect or represent the views of the foundation.

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