  An integral curve is a closed piecewise linear curve comprised of unit
intervals. A dome is a polyhedral surface whose faces are equilateral triangles
and whose boundary is an integral curve. Glazyrin and Pak showed that not every
integral curve can be domed by analyzing the case of unit rhombi, and
conjectured that every integral curve is cobordant to a unit rhombus. We show
that this is false for oriented domes, but that every integral curve is
cobordant to the union of finitely many unit rhombi.
