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geometry

Latest Articles

Michael Assis folding a large, beige sheet or Miura-ori
statistical physics

The Atomic Theory of Origami

By Marcus Woo
October 31, 2017
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By reimagining the kinks and folds of origami as atoms in a lattice, researchers are uncovering strange behavior hiding in simple structures.

Classes of geometric structures
Abstractions blog

Why Mathematicians Like to Classify Things

By Kevin Hartnett
August 15, 2017
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It’s “a definitive study for all time, like writing the final book,” says one researcher who’s mapping out new classes of geometric structures.

Heavenly billiards
geometry

New Shapes Solve Infinite Pool-Table Problem

By Kevin Hartnett
August 8, 2017
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Two “rare jewels” have illuminated a mysterious multidimensional object that connects a huge variety of mathematical work.

Maryam Mirzakhani
Quantized Columns

The Beautiful Mathematical Explorations of Maryam Mirzakhani

By Moira Chas
July 24, 2017
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After her untimely death, Maryam Mirzakhani’s life is best remembered through her work.

Marjorie Rice
Abstractions blog

Marjorie Rice’s Secret Pentagons

By Natalie Wolchover
July 11, 2017
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A California housewife who in the 1970s discovered four new types of tessellating pentagons is dead at 94.

15 pentagon tessellations
geometry

Pentagon Tiling Proof Solves Century-Old Math Problem

By Natalie Wolchover
July 11, 2017
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A French mathematician has completed the classification of all convex pentagons, and therefore all convex polygons, that tile the plane.

Abstractions blog

How to Use a Sphere to Talk to Mars

By Kevin Hartnett
April 12, 2017
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To avoid garbled messages, mathematicians might translate them into geometric form.

Icosahedron
geometry

A New Path to Equal-Angle Lines

By Kevin Hartnett
April 11, 2017
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Equiangular lines are an elemental part of geometry. Mathematicians have discovered a tighter limit on the number of such lines that exist in every dimension.

Illustration: diver searching for new math
Quantized Columns

Quantum Questions Inspire New Math

By Robbert Dijkgraaf
March 30, 2017
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In order to fully understand the quantum world, we may have to develop a new realm of mathematics.


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