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# Geometry

## Latest Articles

### Random Surfaces Hide an Intricate Order

Mathematicians have proved that a random process applied to a random surface will yield consistent patterns.

### A Mathematician Whose Only Constant Is Change

Amie Wilkinson searches for exotic examples of the mathematical structures that describe change.

### How Geometry, Data and Neighbors Predict Your Favorite Movies

A little high school geometry can help you understand the basic math behind movie recommendation engines.

### Out of a Magic Math Function, One Solution to Rule Them All

Mathematicians used “magic functions” to prove that two highly symmetric lattices solve a myriad of problems in eight- and 24-dimensional space.

### Karen Uhlenbeck, Uniter of Geometry and Analysis, Wins Abel Prize

A founder of modern geometric analysis who produced “some of the most dramatic advances in mathematics in the last 40 years,” Uhlenbeck is the first woman to be awarded this top honor.

### Math Duo Maps the Infinite Terrain of Minimal Surfaces

A pair of mathematicians has built on an obscure, 30-year-old mathematical theory to show that soap-filmlike minimal surfaces appear abundantly in a wide range of shapes.

### Möbius Strips Defy a Link With Infinity

A new proof shows why an uncountably infinite number of Möbius strips will never fit into a three-dimensional space.

### Amateur Mathematician Finds Smallest Universal Cover

Through exacting geometric calculations, Philip Gibbs has found the smallest known cover for any possible shape.

### A Proof About Where Symmetries Can’t Exist

In a major mathematical achievement, a small team of researchers has proven Zimmer’s conjecture.