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fractals

An illustration of a doughnut-shaped elliptic curve intertwined with the Julia set.
number theory

Mathematicians Set Numbers in Motion to Unlock Their Secrets

February 22, 2021

A new proof demonstrates the power of arithmetic dynamics, an emerging discipline that combines insights from number theory and dynamical systems.

Multimedia

The Map of Mathematics

February 13, 2020

Explore our surprisingly simple, absurdly ambitious and necessarily incomplete guide to the boundless mathematical universe.

3D "Basilica" Julia set
geometry

3-D Fractals Offer Clues to Complex Systems

January 3, 2017

By folding fractals into 3-D objects, a mathematical duo hopes to gain new insight into simple equations.

astrophysics

Strange Stars Pulse to the Golden Mean

March 10, 2015

Nature has revealed peculiar mathematical objects that connect order and chaos.