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How Rational Math Catches Slippery Irrational Numbers
Finding the best way to approximate the ever-elusive irrational numbers pits the infinitely large against the infinitely small.
Landmark Computer Science Proof Cascades Through Physics and Math
Computer scientists established a new boundary on computationally verifiable knowledge. In doing so, they solved major open problems in quantum mechanics and pure mathematics.
Rainbow Proof Shows Graphs Have Uniform Parts
Mathematicians have proved that copies of smaller graphs can always be used to perfectly cover larger ones.
The Map of Mathematics
Explore our surprisingly simple, absurdly ambitious and necessarily incomplete guide to the boundless mathematical universe.
Color-Changing Material Unites the Math and Physics of Knots
Mathematicians have studied knots for centuries, but a new material is showing why some knots are better than others.
Mathematicians Prove Universal Law of Turbulence
By exploiting randomness, three mathematicians have proved an elegant law that underlies the chaotic motion of turbulent systems.
Secrets of Math From the Bee Whisperer
As Scarlett Howard taught honeybees to do arithmetic, they showed her how fundamental numbers might be to all brains.
How Pi Connects Colliding Blocks to a Quantum Search Algorithm
A curious physicist has discovered an unexpected link between theoretical block collisions and a famed quantum search algorithm.
Solution: ‘Natural Law and Elegant Math’
While mathematics gives us elegant explanations for many physical phenomena, real-world situations often require us to scramble through dense numerical thickets.