  We analyze theoretically polar molecules confined in planar arrays of one
dimensional tubes. In the classical limit, if the number of tubes is finite,
new types of "clustered Wigner crystals" with increasingly many molecules per
unit cell can be stabilized by tuning the in-plane angle between the dipolar
moments and the tube direction. Quantum mechanically, these phases melt into
distinct "clustered Luttinger liquids." We calculate the phase diagram of the
system and study the quantum melting of the clustered phases. We find that the
requirements for exploring these phases are reachable in current experiments
and discuss possible experimental signatures.
