Dis-Connected

https://commons.wikimedia.org/wiki/File:Borromean-rings-BW.svg

These circles display an odd property — the three are linked, but no two are linked.

A.G. Smith exhibited this curious variant in Eureka in 1967:

https://www.archim.org.uk/eureka/archive/Eureka-30.pdf

“I leave it to the reader the problem of finding whether Knotung is knotted, and if so, whether it is equivalent to the Borromean Rings, with which it shares the property that cutting any one loop releases the other two completely.”