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First Shape Found That Can’t Pass Through Itself
After more than three centuries, a geometry problem that originated with a royal bet has been solved.
Origami Patterns Solve a Major Physics Riddle
The amplituhedron, a shape at the heart of particle physics, appears to be deeply connected to the mathematics of paper folding.
New Math Revives Geometry’s Oldest Problems
Using a relatively young theory, a team of mathematicians has started to answer questions whose roots lie at the very beginning of mathematics.
At 17, Hannah Cairo Solved a Major Math Mystery
After finding the homeschooling life confining, the teen petitioned her way into a graduate class at Berkeley, where she ended up disproving a 40-year-old conjecture.
A New Geometry for Einstein’s Theory of Relativity
A team of mathematicians based in Vienna is developing tools to extend the scope of general relativity.
New Sphere-Packing Record Stems From an Unexpected Source
After just a few months of work, a complete newcomer to the world of sphere packing has solved one of its biggest open problems.
A New Pyramid-Like Shape Always Lands the Same Side Up
A tetrahedron is the simplest Platonic solid. Mathematicians have now made one that’s stable only on one side, confirming a decades-old conjecture.
Does Form Really Shape Function?
From brain folds to insect architecture, L. Mahadevan explains how complex biological forms and behaviors emerge through the interplay of physical forces, environment and embodiment.
First Map Made of a Solid’s Secret Quantum Geometry
Physicists recently mapped the hidden shape that underlies the quantum behaviors of a crystal, using a new method that’s expected to become ubiquitous.