  The $n+1$ vortex filament problem has explicit solutions consisting of $n$
parallel filaments of equal circulation in the form of nested polygons
uniformly rotating around a central filament which has circulation of opposite
sign. We show that when the relation between temporal and spatial periods is
fixed at certain rational numbers, these configurations have an infinite number
of homographic time dependent standing wave patterns that bifurcate from these
uniformly rotating central configurations.
