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The Biggest Smallest Triangle Just Got Smaller
A new proof breaks a decades-long drought of progress on the problem of estimating the size of triangles created by cramming points into a square.
How Scientists Are Tackling the Tricky Task of Solar Cycle Prediction
Scientists have struggled to accurately forecast the strength of the sun’s 11-year cycle — even after centuries of solar observations.
Magnetism May Have Given Life Its Molecular Asymmetry
The preferred “handedness” of biomolecules could have emerged from biased interactions between electrons and magnetic surfaces, new research suggests.
Alan Turing and the Power of Negative Thinking
Mathematical proofs based on a technique called diagonalization can be relentlessly contrarian, but they help reveal the limits of algorithms.
Why Mathematical Proof Is a Social Compact
Number theorist Andrew Granville on what mathematics really is — and why objectivity is never quite within reach.
The Usefulness of a Memory Guides Where the Brain Saves It
New research finds that the memories useful for future generalizations are held in the brain separately from those recording unusual events.
In a Monster Star’s Light, a Hint of Darkness
Astronomers are scouring the cosmos for fingerprints of the invisible — tiny clumps of pure dark matter that might solve a long-standing cosmic mystery.
The Hidden Brain Connections Between Our Hands and Tongues
Sticking out your tongue while doing delicate work with your hands reveals a history of evolutionary relationships.
New Codes Could Make Quantum Computing 10 Times More Efficient
Quantum computing is still really, really hard. But the rise of a powerful class of error-correcting codes suggests that the task might be slightly more feasible than many feared.