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Mathematical Connect-the-Dots Reveals How Structure Emerges
A new proof identifies precisely how large a mathematical graph must be before it contains a regular substructure.
The Spooky Quantum Phenomenon You’ve Never Heard Of
Quantum computers may derive their power from the “magical” way that properties of particles change depending on the context.
Special Surfaces Remain Distinct in Four Dimensions
For decades mathematicians have searched for a specific pair of surfaces that can’t be transformed into each other in four-dimensional space. Now they’ve found them.
Reshuffled Rivers Bolster the Amazon’s Hyper-Biodiversity
The lush biodiversity of the Amazon may be due in part to the dynamics of branching rivers, which serve as invisible fences that continuously barricade and merge bird populations.
Graduate Student’s Side Project Proves Prime Number Conjecture
Jared Duker Lichtman, 26, has proved a longstanding conjecture relating prime numbers to a broad class of “primitive” sets. To his adviser, it came as a “complete shock.”
Life’s First Peptides May Have Grown on RNA Strands
RNA and peptides coevolving in the primordial world might have jointly served as a precursor to the modern ribosome.