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Mathematics

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A video depiction of shifting boundaries in Colorado illustrates the endless possibilities for drawing Congressional districts.
applied math

How Math Has Changed the Shape of Gerrymandering

By Mike Orcutt
June 1, 2023
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New tools make it possible to detect hidden manipulation of maps.

Quantized Academy

Math Patterns That Go On Forever but Never Repeat

By Patrick Honner
May 23, 2023
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Simple math can help explain the complexities of the newly discovered aperiodic monotile.

nonlinear dynamics

New Proof Finds the ‘Ultimate Instability’ in a Solar System Model

By Jordana Cepelewicz
May 16, 2023
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For the first time, mathematicians have proved that planetary orbits in a solar system will always be unstable.

A man in a blue jacket on a staircase.
Q&A

A Plan to Address the World’s Challenges With Math

By Kevin Hartnett
May 11, 2023
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Minhyong Kim is leading a new initiative called Mathematics for Humanity that encourages mathematicians to apply their skills to solving social problems.

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graph theory

A Very Big Small Leap Forward in Graph Theory

By Leila Sloman
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Four mathematicians have found a new upper limit to the “Ramsey number,” a crucial property describing unavoidable structure in graphs.

A complex machine produces prime numbers onto a conveyor belt that winds backwards into infinity.
number theory

Why Mathematicians Re-Prove What They Already Know

By Anna Kramer
April 26, 2023
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It’s been known for thousands of years that the primes go on forever, but new proofs give fresh insights into how theorems depend on one another.

combinatorics

The Number 15 Describes the Secret Limit of an Infinite Grid

By Kevin Hartnett
April 20, 2023
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The “packing coloring” problem asks how many numbers are needed to fill an infinite grid so that identical numbers never get too close to one another. A new computer-assisted proof finds a surprisingly straightforward answer.

The Joy of Why

How Can Some Infinities Be Bigger Than Others?

By Steven Strogatz
April 19, 2023
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All infinities go on forever, so how is it possible for some infinities to be larger than others? The mathematician Justin Moore discusses the mysteries of infinity with Steven Strogatz.

mathematical physics

A New Symmetry Shakes Up Physics

By Kevin Hartnett
April 18, 2023
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So-called “higher symmetries” are illuminating everything from particle decays to the behavior of complex quantum systems.


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