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# geometry

## Latest Articles

### The Basic Algebra Behind Secret Codes and Space Communication

Whether you’re passing secret notes in class or downloading images from a space probe, Reed-Solomon codes offer an ingenious way to embed information and correct for errors.

### The Year in Math

Four Fields Medals were awarded for major breakthroughs in geometry, combinatorics, statistical physics and number theory, even as mathematicians continued to wrestle with how computers are changing the discipline.

### ‘Nasty’ Geometry Breaks Decades-Old Tiling Conjecture

Mathematicians predicted that if they imposed enough restrictions on how a shape might tile space, they could force a periodic pattern to emerge. But they were wrong.

### A Mathematician Dancing Between Algebra and Geometry

Wei Ho, the first director of the Women and Mathematics program at the Institute for Advanced Study, combines algebra and geometry in her work on an ancient class of curves.

### The Simple Geometry Behind Brownie Bake Offs and Equal Areas

Proving that two polygons have the same area can be as easy as cutting them up and rearranging the pieces.

### Mathematicians Discover the Fibonacci Numbers Hiding in Strange Spaces

Recent explorations of unique geometric worlds reveal perplexing patterns, including the Fibonacci sequence and the golden ratio.

### ‘Monumental’ Math Proof Solves Triple Bubble Problem and More

The decades-old Sullivan’s conjecture, about the best way to minimize the surface area of a bubble cluster, was thought to be out of reach for three bubbles and up — until a new breakthrough result.

### The New Math of Wrinkling

A comprehensive mathematical framework treats wrinkling patterns as elegant solutions to geometric problems.

### How Isaac Newton Discovered the Binomial Power Series

Rethinking questions and chasing patterns led Newton to find the connection between curves and infinite sums.