Mathematics

Recent explorations of unique geometric worlds reveal perplexing patterns, including the Fibonacci sequence and the golden ratio.

In his senior year of high school, Daniel Larsen proved a key theorem about Carmichael numbers — strange entities that mimic the primes.

The decades-old Sullivan’s conjecture, about the best way to minimize the surface area of a bubble cluster, was thought to be out of reach for three bubbles and up — until a new breakthrough result.

Readers rescued a Star Trek crew from a probabilistic predicament armed only with the power of mathematical reasoning.

Of all the endless questions children and mathematicians have asked about infinity, one of the biggest has to do with its size.

A comprehensive mathematical framework treats wrinkling patterns as elegant solutions to geometric problems.

A simple geometric idea has been used to power advances in information theory, cryptography and even blockchain technology.

Richard Rusczyk, founder of Art of Problem Solving, has a vision for bringing “joyous, beautiful math” — and problem-solving — to classrooms everywhere.

What’s a message, really? Claude Shannon recognized that the elemental ingredient is surprise.