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 ...
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), ...
A Möbius strip is a fascinating object. You can easily create a Möbius strip when twisting the two ends of a strip of paper by 180 degrees and connect them together. Upon closer inspection, you ...
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 ...
New research presents a strategy for observing and manipulating the optical Berry phase in Möbius ring microcavities. In their paper, the authors discuss how an optical Berry phase can be generated ...
A soft robot shaped like a Möbius strip can move when activated by light, and could be used to transport medicine and collect samples inside the body. Zi Liang Wu at Zhejiang University in China and ...
A short section of carbon nanotube built from scratch forms a tiny Möbius strip – a one-sided surface that results from a band with a twist in it. You would imagine you could just salami slice a ...
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