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Quantum Questions Inspire New Math
In order to fully understand the quantum world, we may have to develop a new realm of mathematics.
A Long-Sought Proof, Found and Almost Lost
When a German retiree proved a famous long-standing mathematical conjecture, the response was underwhelming.
The Hidden Twist to Making a Möbius Strip
The simple Möbius strip illustrates a deep mathematical challenge that has long tormented the field of symplectic geometry.
A Fight to Fix Geometry’s Foundations
When two mathematicians raised pointed questions about a classic proof that no one really understood, they ignited a years-long debate about how much could be trusted in a new kind of geometry.
How Curvature Makes a Shape a Shape
The ancient study of an object’s curvature is guiding mathematicians toward a new understanding of simple equations.
Test Your Mathematical Sculpting Skills
Can you turn a two-dimensional fractal into a 3-D object? Break out your scissors and tape for a chance to win a 3-D printed sculpture.
3-D Fractals Offer Clues to Complex Systems
By folding fractals into 3-D objects, a mathematical duo hopes to gain new insight into simple equations.
Air Traffic Control for Random Surfaces
Mathematicians have had a hard time finding commonalities in large groups of random shapes — until recently.
A Unified Theory of Randomness
Researchers have uncovered deep connections among different types of random objects, illuminating hidden geometric structures.