Visually, the “Klein bottle” doesn’t seem all that impressive. On first glance it looks like a trendy Japandi-style vase. And yet it has fascinated mathematicians for more than 140 years. To ...

Any attempt to better understand Möbius strips is bound to run into some kinks. The twisted loops are so strange that mathematicians have struggled to answer some basic questions about them. For ...

In 1977, two mathematicians created a conjecture that proposed the minimum size a paper strip needed to be in order to form an embedded strip. Although they proposed an aspect ration of 1.73 (or √3), ...

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 ...

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 ...