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Solutions of Fermat's Equation

​
power n
1
2
3
4
5
angle of projection
show plane
position of the plane
Fermat's Last Theorem states that there is no nontrivial solution in integers
x
,
y
and
z
of the equation
n
x
+
n
y
n
z
, 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
n
. 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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