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Dimension 126 Contains Strangely Twisted Shapes, Mathematicians Prove

A new proof represents the culmination of a 65-year-old story about anomalous shapes in special dimensions.

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Mathematical Beauty, Truth and Proof in the Age of AI

Mathematicians have started to prepare for a profound shift in what it means to do math.

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.

When ChatGPT Broke an Entire Field: An Oral History

Researchers in “natural language processing” tried to tame human language. Then came the transformer.

An image of a glowing red orb dotted with white-hot active volcanoes.

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Why Some People Don’t ‘See’ Mental Imagery: Aphantasia

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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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