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The spontaneous magnetization relations for the 2D triangular and the 3Dcubic lattices of the Ising model are derived by a new tractable easilycalculable mathematical method. The result obtained for the triangular latticeis compared with the already available result to test and investigate therelevance the new mathematical method. From this comparison, it is seen thatthe agreement of our result is almost the same or almost equivalent to thepreviously obtained exact result. The new approach is, then, applied to thelong-standing 3D cubic lattice, and the corresponding expression for thespontaneous magnetism is derived. The relation obtained is compared with thealready existing numerical results for the 3D lattice. The essence of themethod going to used in this paper is based on exploiting the maincharacteristic of the order parameter of a second order phase transition whichprovides a more direct physical insight into the calculation of the spontaneousmagnetization of the Ising model.

Relevant spontaneous magnetization relations for the triangular and the cubic lattice Ising model