Our universe appears flat—but this observation still leaves plenty of options for its true shape. In fact, our cosmos could resemble a donut ...

Geometry may come from navigation skills shared with animals, while human language allows those spatial abilities to become ...

When most people think of shapes, they imagine a triangle, a rectangle, or maybe even a fancier-sounding rhombus or trapezoid. But to mathematicians, shapes encompass a vast universe of surprising ...

Designing surfaces that precisely control how light behaves at the nanoscale is tricky. Optical Fourier surfaces, which are ...