Tessellations aren’t just eye-catching patterns—they can be used to crack complex mathematical problems. By repeatedly reflecting shapes to tile a surface, researchers uncovered a method that links ...

This is a preview. Log in through your library . Abstract We prove a generalization of the Schwarz-Carathéodory reflection principle for analytic maps f from the unit disk into arbitrary Riemann ...

A novel differentiable approach optimizes geometric waveguide coatings, achieving substantial gains in light efficiency and ...