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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?
Why Winning in Rock-Paper-Scissors (and in Life) Isn’t Everything
What does John Nash’s game theory equilibrium concept look like in Rock-Paper-Scissors?
How Math (and Vaccines) Keep You Safe From the Flu
Simple math shows how widespread vaccination can disrupt the exponential spread of disease and prevent epidemics.
The (Math) Problem With Pentagons
Triangles fit effortlessly together, as do squares. When it comes to pentagons, what gives?
The Math Behind Gerrymandering and Wasted Votes
Simple math can help scheming politicians manipulate district maps and cruise to victory. But it can also help identify and fix the problem.
Symmetry, Algebra and the Monster
To begin to understand what mathematicians and physicists see in the abstract structures of symmetries, let’s start with a familiar shape.