  In earlier work, we provided a general description of the forces of
attraction and repulsion, encountered by two parallel vertical plates of
infinite extent and of possibly differing materials, when partially immersed in
an infinite liquid bath and subject to surface tension forces. In the present
study, we examine some unusual details of the exotic behavior that can occur at
the singular configuration separating infinite rise from infinite descent of
the fluid between the plates, as the plates approach each other. In connection
with this singular behavior, we present also some new estimates on meniscus
height details.
