The phase diagram of a triangular network of overdamped Josephson Junc
tions driven by independent current drives is studied in terms of vort
ices. There are no vortices in the fixed-point region, while in the pi
g Arnold tongue, vortices appear in sequences which repeat themselves
every q vortices. Precisely q - p vortices in each sequence are inject
ed by the non-uniform drive. We explicitly identify the vortex sequenc
e at infinity and find that for large input currents, all reals betwee
n 1 and 1/2 can be given a unique binary representation in terms of vo
rtices.