Math
An Infinite Universe of Number Systems
The p-adics form an infinite collection of number systems based on prime numbers. They’re at the heart of modern number theory.
A New Algorithm for Graph Crossings, Hiding in Plain Sight
Two computer scientists found—in the unlikeliest of places—just the idea they needed to make a big leap in graph theory.
Why Mathematicians Should Stop Naming Things After Each Other
A past generation’s glory can be the next generation’s headache.
Mathematicians Report New Discovery About the Dodecahedron
Three mathematicians have resolved a fundamental question about straight paths on the 12-sided Platonic solid.
Computer Scientists Attempt to Corner the Collatz Conjecture
A powerful technique called SAT solving could work on the notorious Collatz conjecture. But it’s a long shot.
Math of the Penguins
Emperor penguins display rigorously geometric spacing and mathematical efficiency when they huddle together for warmth, which may reveal secrets to their overall health.
Mathematicians Will Never Stop Proving the Prime Number Theorem
Why do mathematicians enjoy proving the same results in different ways?
How Gödel’s Proof Works
His incompleteness theorems destroyed the search for a mathematical theory of everything. Nearly a century later, we’re still coming to grips with the consequences.
The Tricky Math of Herd Immunity for COVID-19
Herd immunity differs from place to place, and many factors influence how it’s calculated.
The ‘Useless’ Perspective That Transformed Mathematics
Representation theory was initially dismissed. Today, it’s central to much of mathematics.
Let Game Theory Tell You When It’s Time to Go Shopping
During a pandemic, when you want to avoid crowds, math shows the way.
