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

When the press brake begins the forming stroke, the punch moves downward and the rotors begin to rotate outward about their ...

For decades mathematicians have searched for a specific pair of surfaces that can’t be transformed into each other in four-dimensional space. Now they’ve found them. In geometry and the closely ...

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 ...