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geometry
Quantized Academy
How Geometry, Data and Neighbors Predict Your Favorite Movies
A little high school geometry can help you understand the basic math behind movie recommendation engines.
sphere packing
Out of a Magic Math Function, One Solution to Rule Them All
Mathematicians used “magic functions” to prove that two highly symmetric lattices solve a myriad of problems in eight- and 24-dimensional space.
Abel Prize
Karen Uhlenbeck, Uniter of Geometry and Analysis, Wins Abel Prize
A founder of modern geometric analysis who produced “some of the most dramatic advances in mathematics in the last 40 years,” Uhlenbeck is the first woman to be awarded this top honor.
geometry
Math Duo Maps the Infinite Terrain of Minimal Surfaces
A pair of mathematicians has built on an obscure, 30-year-old mathematical theory to show that soap-filmlike minimal surfaces appear abundantly in a wide range of shapes.
topology
Möbius Strips Defy a Link With Infinity
A new proof shows why an uncountably infinite number of Möbius strips will never fit into a three-dimensional space.
geometry
Amateur Mathematician Finds Smallest Universal Cover
Through exacting geometric calculations, Philip Gibbs has found the smallest known cover for any possible shape.
geometry
A Proof About Where Symmetries Can’t Exist
In a major mathematical achievement, a small team of researchers has proven Zimmer’s conjecture.
Abstractions blog
Why Mathematicians Can’t Find the Hay in a Haystack
In math, sometimes the most common things are the hardest to find.
geometry
Tinkertoy Models Produce New Geometric Insights
An upstart field that simplifies complex shapes is letting mathematicians understand how those shapes depend on the space in which you visualize them.