  An example of a supersymmetric model involving two interacting chiral
superfields is presented here which allows for solutions describing string-like
``domain ribbon'' defects embedded within a domain wall. It is energetically
favorable for the fermions within the wall to populate the domain ribbons, and
an explicit solution is found for the fermion zero modes. The Fermi gas within
ribbons can allow them to stabilize in the form of small loops.
