Tie a trefoil knot in a piece of string, seal the ends together, and try to wiggle it free without cutting. In ...
The central objects of study in topology are spaces called manifolds, which look flat when you zoom in on them. The surface of a sphere, for instance, is a two-dimensional manifold. Topologists ...
Scientists working on laser application at the RIKEN Center for Advanced Photonics (RAP) have demonstrated that GHz burst mode femtosecond laser pulses can create unique two-dimensional (2D) ...
We all know we live in three-dimensional space. But what does it mean when people talk about four dimensions? Is it just a bigger kind of space? Is it "space-time," the popular idea which emerged from ...