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Complex Structures Like ‘Entropy Bagels’ Emerge From Simple Rules
Simple rules in simple settings continue to puzzle mathematicians, even as they devise intricate tools to analyze them.
The Quest to Decode the Mandelbrot Set, Math’s Most Famous Fractal
For decades, a small group of mathematicians has patiently unraveled the mystery of what was once math’s most popular picture. Their story shows how technology transforms even the most abstract mathematical landscapes.
New Proof Finds the ‘Ultimate Instability’ in a Solar System Model
For the first time, mathematicians have proved that planetary orbits in a solar system will always be unstable.
Simpler Math Predicts How Close Ecosystems Are to Collapse
By replacing thousands of equations with just one, ecology modelers can more accurately assess how close fragile environments are to a disastrous “tipping point.”
Starfish Whisperer Develops a Physical Language of Life
Nikta Fakhri is adapting and extending concepts from physics to describe how tiny biological components give rise to living organisms.
Chaos Researchers Can Now Predict Perilous Points of No Return
A custom-built machine learning algorithm can predict when a complex system is about to switch to a wildly different mode of behavior.
Wheel Made of ‘Odd Matter’ Spontaneously Rolls Uphill
Physicists have solved a key problem of robotic locomotion by revising the usual rules of interaction between simple component parts.