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 ...

One-sided objects are surprisingly common – and misunderstood. What are they, and how have they helped us understand the world? You have most likely encountered one-sided objects hundreds of times in ...

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 ...