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# Quantized Academy

## Latest Articles

### How Big Is Infinity?

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

### How Can Infinitely Many Primes Be Infinitely Far Apart?

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.

### Why Claude Shannon Would Have Been Great at Wordle

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

### What a Math Party Game Tells Us About Graph Theory

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

### Why Triangles Are Easy and Tetrahedra Are Hard

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

### What Hot Dogs Can Teach Us About Number Theory

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

### The Simple Math Behind the Mighty Roots of Unity

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.

### How to Find Rational Points Like Your Job Depends on It

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

### How to Solve Equations That Are Stubborn as a Goat

Math teachers have stymied students for hundreds of years by sticking goats in strangely shaped fields. Learn why one grazing goat problem has stumped mathematicians for more than a century.