On Aug. 24, Richard Schwartz, professor of mathematics, published a preprint paper to arXiv.org that proved a conjecture that has stumped mathematicians for nearly 50 years: What is the shortest strip ...

Imagine holding a strip of paper. You give it a half-twist and then tape its ends together. The shape you’re now holding is the ticket to a world where surfaces have only one side and boundaries blur ...

Math isn’t just about numbers—it’s also about patterns and shapes. One of my favorite shapes is the Möbius strip, a mind-warping surface with only one side. It’s simple to make one: Just take a strip ...

You have most likely encountered one-sided objects hundreds of times in your daily life—like the universal symbol for recycling, found printed on the backs of aluminum cans and plastic bottles. This ...

A Moebius strip created from laser light opens up new possibilities for material processing and for micro- and nanotechnology. Physics sometimes borders on light art. An international team headed by ...

Möbius strips are curious mathematical objects. To construct one of these single-sided surfaces, take a strip of paper, twist it once and then tape the ends together. Making one of these beauties is ...