Quantized Academy

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

Of all the endless questions children and mathematicians have asked about infinity, one of the biggest has to do with its size.

Mathematicians have been studying the distribution of prime numbers for thousands of years. Recent results about a curious kind of prime offer a new take on how spread out they can be.

A bit of information theory can help you analyze — and improve — your Wordle game.

Play this simple math game with your friends to gain insights into fundamental principles of graph theory.

The triangle angle sum theorem makes working with triangles easy. What happens when you can’t rely on it?

The Chinese remainder theorem is an ancient and powerful extension of the simple math of least common multiples.

Solutions to the simplest polynomial equations — called “roots of unity” — have an elegant structure that mathematicians still use to study some of math’s greatest open questions.

Using high school algebra and geometry, and knowing just one rational point on a circle or elliptic curve, we can locate infinitely many others.