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# Quantized Academy

## Latest Articles

### Why the Sum of Three Cubes Is a Hard Math Problem

Looking for answers in infinite space is hard. High school math can help narrow your search.

### On Your Mark, Get Set, Multiply

The way you learned to multiply works, but computers employ a faster algorithm.

### Color Me Polynomial

Polynomials aren’t just exercises in abstraction. They’re good at illuminating structure in surprising places.

### How Geometry, Data and Neighbors Predict Your Favorite Movies

A little high school geometry can help you understand the basic math behind movie recommendation engines.

### Where Proof, Evidence and Imagination Intersect

In mathematics, where proofs are everything, evidence is important too. But evidence is only as good as the model, and modeling can be dangerous business. So how much evidence is enough?

### Unscrambling the Hidden Secrets of Superpermutations

A science fiction novelist and an internet commenter made breakthroughs on a longstanding problem about the number of ways you can arrange a set of items. What did they discover?

### The (Imaginary) Numbers at the Edge of Reality

Odd enough to potentially model the strangeness of the physical world, complex numbers with “imaginary” components are rooted in the familiar.

### How Network Math Can Help You Make Friends

Studying the structure of existing friendships in your community can help you forge the best connections when forming a new circle of friends.

### Four Is Not Enough

How many colors do you need to color an infinite plane so that no points 1 unit apart are the same color?