  We investigate a generalized Ising action containing nearest neighbour, next
to nearest neighbour and plaquette terms that has been suggested as a potential
string worldsheet discretization on cubic lattices by Savvidy and Wegner. We
use both mean field techniques and Monte-Carlo simulations to sketch out the
phase diagram.
  The Gonihedric (Savvidy-Wegner) model has a symmetry that allows any plane of
spins to be flipped with zero energy cost, which gives a highly degenerate
vacuum state. We choose boundary conditions in the simulations that eliminate
this degeneracy and allow the definition of a simple ferromagnetic order
parameter. This in turn allows us to extract the magnetic critical exponents of
the system.
