From four-dimensional hexagons to the mind-bending amplituhedron, geometrical shapes are wilder than we learn at school - and ...

We’ve all learned “parallel lines never intersect” in high school geometry. But what your teachers failed to explain is that “parallel lines never intersect” is only true in Euclidean ...

But the geometry is a little more complicated in three dimensions. In each layer of spheres, the distance between adjacent gaps is less than the distance between centers of spheres. So you can’t put a ...

The Kakeya conjecture predicts how much room you need to point a line in every direction. In one number system after another — with one important exception — mathematicians have been proving it true.

Chinese carmaker Geely, owners of Volvo, Lotus, and others, is on the offensive once again with a new all-electric EV brand: Geometry.