  We construct an inverse system of unstable Vassiliev spectral sequences on
the spaces of plumbers' knots, which model the homotopy type of the space of
long knots, and show that the limit of these sequences contains the finite type
invariants in their usual complexity. Utilizing the cell structure on the
discriminant of the spaces of plumbers curves, we extend the notion of
Vassiliev derivative to all singularity types of plumbers' curves.
