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How to Use a Sphere to Talk to Mars
To avoid garbled messages, mathematicians might translate them into geometric form.
A New Path to Equal-Angle Lines
Equiangular lines are an elemental part of geometry. Mathematicians have discovered a tighter limit on the number of such lines that exist in every dimension.
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.