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Self-Assembly Gets Automated in Reverse of ‘Game of Life’

In cellular automata, simple rules create elaborate structures. Now researchers can start with the structures and reverse-engineer the rules.

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Tiny Tubes Reveal Clues to the Evolution of Complex Life

Scientists have identified tubulin structures in primitive Asgard archea that may have been the precursor of our own cellular skeletons.

Analog vs. Digital: The Race Is On To Simulate Our Quantum Universe

Recent progress on both analog and digital simulations of quantum fields foreshadows a future in which quantum computers could illuminate phenomena that are far too complex for even the most powerful supercomputers.

What Is the Fourier Transform?

Amid the chaos of revolutionary France, one man’s mathematical obsession gave way to a calculation that now underpins much of mathematics and physics. The calculation, called the Fourier transform, decomposes any function into its parts.

‘World Models,’ an Old Idea in AI, Mount a Comeback

You’re carrying around in your head a model of how the world works. Will AI systems need to do the same?

Astrophysicists Find No ‘Hair’ on Black Holes

According to Einstein’s theory of gravity, black holes have only a small handful of distinguishing characteristics. Quantum theory implies they may have more. Now an experimental search finds that any of this extra ‘hair’ has to be pretty short.

‘Ten Martini’ Proof Uses Number Theory to Explain Quantum Fractals

The proof, known to be so hard that a mathematician once offered 10 martinis to whoever could figure it out, connects quantum mechanics to infinitely intricate mathematical structures.

Busy Beaver Hunters Reach Numbers That Overwhelm Ordinary Math

The quest to find the longest-running simple computer program has identified a new champion. It’s physically impossible to write out the numbers involved using standard mathematical notation.

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Is Information a Fundamental Force of the Universe?

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Special Features

The Joy of Why


Two cranes symmetrically poised with their beaks together below a full moon
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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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How Can AI ID a Cat? An Illustrated Guide.

Neural networks power today’s AI boom. To understand them, all we need is a map, a cat and a few thousand dimensions.

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