FERMAT’S LAST THEOREM

we conclude that equation (1), equivalent to: c^n - b^n = a^n does not have a solution for the case n> 2 in In due to a conflict of dimension, symmetry, violation of the continuous following of layers (3). On the left side, the set Si is a layers of (n-1) dimension. On the right is an n-dimensional hypercube. On the left, the figure corresponding to the expression has an irreparable symmetry defect, but on the right, it is symmetrical. Therefore, not all elements {a, b, c} ∈ to In , at least one of them is irrational, that is, in the general case {a, b, c} ∈ Rn, there is no triple of numbers that help to restore the broken symmetry of hypercubes - a necessary condition