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Fermat Surfaces and Hypercubes
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When observed from a natural vector space viewpoint, Fermat’s last theorem appears not as a unique property of natural numbers, but as the bottom line of extended possible issues involving larger dimensions and powers. The fabric of this general Fermat’s theorem structure consists of a well-defined set of vectors associated with \(N-\) dimensional vector spaces and the Minkowski norms one can define there. Here, this special vector set is studied and named a Fermat surface. The connection between Fermat surfaces and hypercubes is unveiled.
Title: Fermat Surfaces and Hypercubes
Description:
When observed from a natural vector space viewpoint, Fermat’s last theorem appears not as a unique property of natural numbers, but as the bottom line of extended possible issues involving larger dimensions and powers.
The fabric of this general Fermat’s theorem structure consists of a well-defined set of vectors associated with \(N-\) dimensional vector spaces and the Minkowski norms one can define there.
Here, this special vector set is studied and named a Fermat surface.
The connection between Fermat surfaces and hypercubes is unveiled.
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