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Why Mathematicians Like to Classify Things
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.
New Shapes Solve Infinite Pool-Table Problem
Two “rare jewels” have illuminated a mysterious multidimensional object that connects a huge variety of mathematical work.
The Beautiful Mathematical Explorations of Maryam Mirzakhani
After her untimely death, Maryam Mirzakhani’s life is best remembered through her work.
Marjorie Rice’s Secret Pentagons
A California housewife who in the 1970s discovered four new types of tessellating pentagons is dead at 94.
Pentagon Tiling Proof Solves Century-Old Math Problem
A French mathematician has completed the classification of all convex pentagons, and therefore all convex polygons, that tile the plane.
How to Use a Sphere to Talk to Mars
To avoid garbled messages, mathematicians might translate them into geometric form.
A New Path to Equal-Angle Lines
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.
Quantum Questions Inspire New Math
In order to fully understand the quantum world, we may have to develop a new realm of mathematics.
A Long-Sought Proof, Found and Almost Lost
When a German retiree proved a famous long-standing mathematical conjecture, the response was underwhelming.