  The phase diagram of the two-dimensional extended q-states Potts model is
investigated in the q->1 limit. This is equivalent to studying the phase
diagram of a two-dimensional infinite interacting lattice animal. An exact
solution on the Bethe lattice and a Migdal-Kadanoff renormalization group
calculation predict a line of theta transitions from an extended to a compact
phase in the lattice animal. We compare this with the phase diagram predicted
from previous numerical studies.
