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# geometry

## Latest Articles

### Scientists Uncover the Universal Geometry of Geology

An exercise in pure mathematics has led to a wide-ranging theory of how the world comes together.

### Some Math Problems Seem Impossible. That Can Be a Good Thing.

Struggling with math problems that can’t be solved helps us better understand the ones we can.

### A Scientist Who Delights in the Mundane

From crumpled paper to termite mounds to three-sided coins, L. Mahadevan has turned the whole world into his laboratory.

### When Math Gets Impossibly Hard

Mathematicians have long grappled with the reality that some problems just don’t have solutions.

### Conducting the Mathematical Orchestra From the Middle

Emily Riehl is rewriting the foundations of higher category theory while also working to make mathematics more inclusive.

### Mathematicians Report New Discovery About the Dodecahedron

Three mathematicians have resolved a fundamental question about straight paths on the 12-sided Platonic solid.

### Computer Scientists Attempt to Corner the Collatz Conjecture

A powerful technique called SAT solving could work on the notorious Collatz conjecture. But it’s a long shot.

### 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.

### How Physics Found a Geometric Structure for Math to Play With

Symplectic geometry is a relatively new field with implications for much of modern mathematics. Here’s what it’s all about.