We study a hermitian (n + 1)-matrix model with plaquette interaction,
Sigma(i=1)(n) MA(i)MA(i). By means of a conformal transformation we re
write the model as an O(rt) model on a random lattice with a non-polyn
omial potential. This allows us to solve the model exactly, We investi
gate the critical properties of the plaquette model and find that for
n is an element of ] - 2, 2] the model belongs to the same universalit
y class as the O(n) model on a random lattice.