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Geometry

Latest Articles

Solution: ‘The Problem With Dancing Shapes’

February 24, 2016

Assigning elements from a large collection to one of two categories can yield almost “magical” predictions about highly complicated problems without actually solving them.

The Problem With Dancing Shapes

February 9, 2016

In a geometrically designed social club, how do dancing, triangles and hexagons mix?

A Life in Games

August 28, 2015

The mathematician John Horton Conway’s myriad accomplishments — including the Game of Life, sprouts and the surreal numbers — are the product of a mind at play.

A Proof That Some Spaces Can’t Be Cut

January 13, 2015

Mathematicians have solved the century-old triangulation conjecture, a major problem in topology that asks whether all spaces can be subdivided into smaller units.

Scientists Conjure Curves From Flatness

January 6, 2015

Researchers have found a set of rules for imbuing flat surfaces with curvature, enabling them to form a virtually unlimited range of three-dimensional structures.

A Tenacious Explorer of Abstract Surfaces

August 12, 2014

Maryam Mirzakhani, who became the first woman Fields medalist for drawing deep connections between topology, geometry and dynamical systems, has died of cancer at the age of 40. This is our 2014 profile of her life and work.

A New Tool to Help Mathematicians Pack

December 20, 2013

Improvements in how densely spheres and other shapes can be packed together could lead to advances in materials science, deep space communication and theoretical physics.

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