  The spontaneous magnetization relations for the 2D triangular and the 3D
cubic lattices of the Ising model are derived by a new tractable easily
calculable mathematical method. The result obtained for the triangular lattice
is compared with the already available result to test and investigate the
relevance the new mathematical method. From this comparison, it is seen that
the agreement of our result is almost the same or almost equivalent to the
previously obtained exact result. The new approach is, then, applied to the
long-standing 3D cubic lattice, and the corresponding expression for the
spontaneous magnetism is derived. The relation obtained is compared with the
already existing numerical results for the 3D lattice. The essence of the
method going to used in this paper is based on exploiting the main
characteristic of the order parameter of a second order phase transition which
provides a more direct physical insight into the calculation of the spontaneous
magnetization of the Ising model.
