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fractals
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The Journey to Define Dimension
The concept of dimension seems simple enough, but mathematicians struggled for centuries to precisely define and understand it.
number theory
Mathematicians Set Numbers in Motion to Unlock Their Secrets
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
Explore our surprisingly simple, absurdly ambitious and necessarily incomplete guide to the boundless mathematical universe.
geometry
3-D Fractals Offer Clues to Complex Systems
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
Nature has revealed peculiar mathematical objects that connect order and chaos.