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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.