In geometry, there are surfaces that do without an inside or outside—and some need at least four dimensions to exist ...

If you were to trace both “sides” of a Möbius strip, you would never have to lift your finger. A single-sided surface with no boundaries, the strip is an artist’s reverie and a mathematician’s feat. A ...

From cylindrical nanotubes to the hollow spheres known as buckyballs, carbon is famous for forming tiny, complex nanostructures (SN: 8/15/19). Now, scientists have added a new geometry to the list: a ...