  We consider the N to infinity limits of the N-state chiral Potts model. We
find new weights that satisfy the star-triangle relations with spin variables
either taking all the integer values or having values from a continous
interval. The models provide chiral generalizations of Zamolodchikov's Fishnet
Model. (For the more complete version, see math.QA/9906029, where the misprints
in eq. (12) are also corrected.)
