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Computer Search Settles 90-Year-Old Math Problem
By translating Keller’s conjecture into a computer-friendly search for a type of graph, researchers have finally resolved a problem about covering spaces with tiles.
The ‘Useless’ Perspective That Transformed Mathematics
Representation theory was initially dismissed. Today, it’s central to much of mathematics.
John Conway Solved Mathematical Problems With His Bare Hands
The legendary mathematician, who died on April 11, was curious, colorful and one of the greatest problem-solvers of his generation.
Neutrino Asymmetry Passes Critical Threshold
The first official evidence of a key imbalance between neutrinos and antineutrinos provides one of the best clues for why the universe contains something rather than nothing.
The Map of Mathematics
Explore our surprisingly simple, absurdly ambitious and necessarily incomplete guide to the boundless mathematical universe.
An Idea From Physics Helps AI See in Higher Dimensions
The laws of physics stay the same no matter one’s perspective. Now this idea is allowing computers to detect features in curved and higher-dimensional space.
Why the Laws of Physics Are Inevitable
By considering simple symmetries, physicists working on the “bootstrap” can rediscover the basic form of the known forces that shape the universe.
Cosmic Triangles Open a Window to the Origin of Time
A close look at fundamental symmetries has exposed hidden patterns in the universe. Physicists think that those same symmetries may also reveal time’s original secret.
How (Relatively) Simple Symmetries Underlie Our Expanding Universe
Although Einstein’s theory of space-time seems more complicated than Newtonian physics, it greatly simplified the mathematical description of the universe.