Suppose you have $n$ triangles whose corners are random points on a sphere $S$
Viewing the triangles as built from rigid bars as edges,
two triangles are linked if they cannot be ...
A set of Brunnian link is a nontrivial link such that if one component is removed, it becomes trivial. The best known example is the Borromean rings:
Here's a six component example:
There is likely ...