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Solutions of Fermat's Equation

Fermat's Last Theorem states that there is no nontrivial solution in integers , and of the equation , where n is an integer greater than 2. The picture shows a projection from four-dimensional space of the projective variety that represents all possible solutions of the equation for different values of . The surface is constructed with several pieces glued together (yellow boundaries). The curves are projected to a plane intersecting the surface.

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