We consider an ideal chain with fixed ends which passes through a slip
-link situated midway on the axis connecting the ends. When the chain
is long enough, the system exhibits bistability: in equilibrium the nu
mber of segments on the two sides of the slip-link differ.(1) We show
that introducing additional geometrical constraints (i.e., having the
polymer inside two adjacent boxes connected by a slip-link) changes th
e situation: The shape of the boxes determines whether the asymmetry p
ersists. For boxes elongated along the axis, the situation is symmetri
c, whereas for flat boxes, bistability may occur.