Mathematicians discover shape that can tile a wall and never repeat

Aperiodic tiling, in which shapes can fit together to create infinite patterns that never repeat, has…

Finally, a Fast Algorithm for Shortest Paths on Negative Graphs | Quanta Magazine

Researchers can now find the shortest route through a network nearly as fast as theoretically possible,…

DeepMind breaks 50-year math record using AI; new record falls a week later

AlphaTensor discovers better algorithms for matrix math, inspiring another improvement from afar. Read more at Ars…

Chaos Researchers Can Now Predict Perilous Points of No Return

A custom-built machine learning algorithm excels at the formidable task of predicting when a complex system…

New Number Systems Point Geometry Problem Toward a Real Solution | Quanta Magazine

The Kakeya conjecture predicts how much room you need to point a line in every direction.…

Researcher uses 379-year-old algorithm to crack crypto keys found in the wild

It takes only a second to crack the handful of weak keys. Are there more out…

A Spanish data scientist’s strategy to win 99% of the time at Wordle

Esteban Moro has created an algorithm to solve the trending online game that has hundreds of…

The Riemann conjecture unveiled by physics

A mystery of mathematics that has remained unsolved for more than 150 years can be unraveled…

An AI has disproved five mathematical conjectures with no human help

An artificial intelligence has disproved five mathematical conjectures, despite not being equipped with any information about…

Alien Art Drawn With Surprisingly Simple Math

Programmer [aemkei] Tweeted the formula (x ^ y) % 9 alongside code for more “alien art”.…

Mathematician Disproves 80-Year-Old Algebra Conjecture

Inside the symmetries of a crystal shape, a postdoctoral researcher has unearthed a counterexample to a…

At last! There’s an algorithm that’s closer than ever to solving the traveling salesperson problem

Planning the best route with multiple destinations is hard even for supercomputers – a new approach…

Matrix Multiplication Inches Closer to Mythic Goal

A matrix can also have entries that are themselves matrices. These four-by-four matrix matrix has four…

Mathematicians Find a New Class of Digitally Delicate Primes

Despite finding no specific examples, researchers have proved the existence of a pervasive kind of prime…

New Algorithm Breaks Speed Limit for Solving Linear Equations

By harnessing randomness, a new algorithm achieves a fundamentally novel — and faster — way of…

This Inmate Used Solitary Confinement to Learn Math. Now He’s Solving the World’s Hardest Equations

In 2010, Christopher Havens was sentenced to 25 years for murder. In 2020, his work in…

The Riemann Hypothesis, Explained

The Riemann hypothesis is the most notorious unsolved problem in all of mathematics. Ever since it…

After 51 years, the Zodiac Killer’s cipher has been solved by amateur code breakers

More than 50 years after the so-called Zodiac Killer first began terrorizing the streets of Northern…

Mathematician Solves Centuries-Old Grazing Goat Problem Exactly

Mathematicians and math enthusiasts have been pondering this problem in various forms for more than 270…

2.920050977316 – Numberphile

Dr James Grime is discussing a new prime-generating constant. Read more at YouTube…