  Recently, we proposed a general evolution equation for single quadrilateral
Wilson loop on the light-cone. In present work, we study the energy evolution
of a combination of two such loops that partially overlap or have a
self-intersection. We show that, for a class of geometric variations, then
evolution is consistent with our previous conjecture, and we are able to handle
the intricacies associated with the self-intersections and overlaps. This way,
a step forward is made towards the understanding of loop space, with the hope
of studying more complicated structures appearing in phenomenological relevant
objects, such as parton distributions.
