Quantized Academy

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

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

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

What does John Nash’s game theory equilibrium concept look like in Rock-Paper-Scissors?

Simple math shows how widespread vaccination can disrupt the exponential spread of disease and prevent epidemics.

Triangles fit effortlessly together, as do squares. When it comes to pentagons, what gives?

Simple math can help scheming politicians manipulate district maps and cruise to victory. But it can also help identify and fix the problem.

To begin to understand what mathematicians and physicists see in the abstract structures of symmetries, let’s start with a familiar shape.