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Mathematicians Discover the Fibonacci Numbers Hiding in Strange Spaces
Recent explorations of unique geometric worlds reveal perplexing patterns, including the Fibonacci sequence and the golden ratio.
Teenager Solves Stubborn Riddle About Prime Number Look-Alikes
In his senior year of high school, Daniel Larsen proved a key theorem about Carmichael numbers — strange entities that mimic the primes.
‘Monumental’ Math Proof Solves Triple Bubble Problem and More
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.
How Star Trek’s Lieutenant Uhura Overcame Astronomical Odds
Readers rescued a Star Trek crew from a probabilistic predicament armed only with the power of mathematical reasoning.
How Mathematical Curves Enable Advanced Communication
A simple geometric idea has been used to power advances in information theory, cryptography and even blockchain technology.
How Shannon Entropy Imposes Fundamental Limits on Communication
What’s a message, really? Claude Shannon recognized that the elemental ingredient is surprise.