Fermat's Last Theorem 4th Way

📄 Abstract This paper introduces a novel geometric and algebraic framework to prove Fermat’s Last Theorem, which asserts that no three positive integers ( a, b, c ) satisfy the equation ( a^n + b^n = c^n ) for any integer ( n > 2 ). By mapping the set of positive natural numbers to five distinct geometric configurations—ranging from triangles to linear segments—the proof systematically demonstrates that the equation fails in all cases. The approach leverages two original principles: Taha’s Coefficient Fact 1 (TCF1) and Taha’s N+ & Geometric Shapes Fact (TNGSF), offering a fresh perspective on one of mathematics’ most famous problems.