## Latest Articles

### Unfolding the Mysteries of Polygonal Billiards

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

### A Brief History of Tricky Mathematical Tiling

The discovery earlier this year of the “hat” tile marked the culmination of hundreds of years of work into tiles and their symmetries.

### How Math Achieved Transcendence

Transcendental numbers include famous examples like e and π, but it took mathematicians centuries to understand them.

### The Colorful Problem That Has Long Frustrated Mathematicians

The four-color problem is simple to explain, but its complex proof continues to be both celebrated and despised.

### Why Mathematicians Study Knots

Far from being an abstract mathematical curiosity, knot theory has driven many findings in math and beyond.

### The Sordid Past of the Cubic Formula

The quest to solve cubic equations led to duels, betrayals — and modern mathematics.

### How We Can Make Sense of Chaos

Dynamical systems can be chaotic and impossible to predict, but mathematicians have discovered tools to help understand them.

### The Journey to Define Dimension

The concept of dimension seems simple enough, but mathematicians struggled for centuries to precisely define and understand it.

### Topology 101: The Hole Truth

The relationships among the properties of flexible shapes have fascinated mathematicians for centuries.