We present a method for determination of the orientation and phase curve of an asteroid with the use of the bulging 38-hedron model (the number of sides may be arbitrary increased). The model shape is determined by the areas of the sides. The decision of the problem is reduced to the simplex-minimization of quadratic functional. We discuss another method for determination of the asteroid orientation with the use of the criterion of reciprocal accordance of its photometric curves as well. The methods are verified with both model examples and photometric curves of the asteroid (433) Eros.