n-Borromean links are nontrivial links in which n rings, n greater tha
n or equal to 3, are combined in such a way that any two component rin
gs form a trivial link. The symmetry of links with n = 3 is discussed,
and it is shown that such links form a variety of series whose member
s are different isotopy types. Examples are adduced of 3-Borromean lin
ks that are topologically chiral. Novel constructions are described of
n-Borromean links with and without at least one nontrivial sublink.