  It has recently been realized that five dimensional theories can be generated
dynamically from asymptotically free, QCD-like four dimensional dynamics via
``deconstruction.'' In this paper we generalize this construction to six
dimensional theories using a moose mesh with alternating weak and strong gauge
groups. A new ingredient is the appearance of self couplings between the higher
dimensional components of the gauge fields that appear as a potential for
pseudo-Goldstone bosons in the deconstructed picture. We show that, in the
limit where the weak gauge couplings are made large, such potentials are
generated with appropriate size from finite one loop correction. Our
construction has a number of applications, in particular to the constructions
of ``little Higgs'' models of electroweak symmetry breaking.
