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# Mathematics

## Latest Articles

### ‘The Rest of the World Disappears’: Claire Voisin on Mathematical Creativity

The recipient of the 2024 Crafoord Prize in Mathematics discusses math as art, math as language, and math as abstract thought.

### Elliptic Curve ‘Murmurations’ Found With AI Take Flight

Mathematicians are working to fully explain unusual behaviors uncovered using artificial intelligence.

### ‘Entropy Bagels’ and Other Complex Structures Emerge From Simple Rules

Simple rules in simple settings continue to puzzle mathematicians, even as they devise intricate tools to analyze them.

### Never-Repeating Tiles Can Safeguard Quantum Information

Two researchers have proved that Penrose tilings, famous patterns that never repeat, are mathematically equivalent to a kind of quantum error correction.

### A New Agenda for Low-Dimensional Topology

This past October, dozens of mathematicians gathered in Pasadena to create the third version of “Kirby’s list” — a compendium of the most important unsolved problems in the field.

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*Quanta* Relaunches Hyperjumps Math Game

Explore a universe of numbers and arithmetic in our new and improved interactive math game, Hyperjumps!

### Unfolding the Mysteries of Polygonal Billiards

The surprisingly subtle geometry of a familiar game shows how quickly math gets complicated.

### Maze Proof Establishes a ‘Backbone’ for Statistical Mechanics

Four mathematicians have estimated the chances that there’s a clear path through a random maze.