Fermat's Theorem - Coordinate's Home: 3 , 4 , 5 Triangle with Exponents at 2 and scale at 1. Red Equation Hypotenuse should equal 5. When set at Home Values.
Previously I had posted this but had made a mistake and took it down. The Hypotenuse's were not coming out as Integers.
Mainly, I wanted to show the Cubic Relationship and bring attention to the Challenge of Solving for the Integers X,Y,Z, & n.
1) Coordinates Blue
2) Exponents Red
3) Scale - Reduces length of Vector without effecting Values (Red Equations) of the actual length.
4) Vector Pink - v is parallel to the geometric triangle side of 4.55
You should be able to obtain any length of Hypotenuse using all the parameters: Scale, Coordinates, Exponents