We investigate the O(n) model on the honeycomb lattice, using its loop
representation in the limit of full packing. The universal properties
, which we calculate by means of finite-size scaling and transfer-matr
ix techniques, are different from the branches of O(n) critical behavi
or known thus far. The conformal anomaly of the model varies between -
1 and 2 in the interval 0 less-than-or-equal-to n less-than-or-equal-t
o 2. The universality class of the model is characterized as a superpo
sition of a low-temperature O(n) phase, and a solid-on-solid model at
a temperature independent of n.