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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.
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.
Amateur Mathematician Finds Smallest Universal Cover
Through exacting geometric calculations, Philip Gibbs has found the smallest known cover for any possible shape.
A Proof About Where Symmetries Can’t Exist
In a major mathematical achievement, a small team of researchers has proven Zimmer’s conjecture.
Why Mathematicians Can’t Find the Hay in a Haystack
In math, sometimes the most common things are the hardest to find.
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.
A Master of Numbers and Shapes Who Is Rewriting Arithmetic
The 30-year-old math sensation Peter Scholze is now one of the youngest Fields medalists for “the revolution that he launched in arithmetic geometry.”
Three Decades Later, Mystery Numbers Explained
Zeta values seem to connect distant geometric worlds. In a new proof, mathematicians finally explain why.
Mathematicians Explore Mirror Link Between Two Geometric Worlds
Decades after physicists happened upon a stunning mathematical coincidence, researchers are getting close to understanding the link between two seemingly unrelated geometric universes.