Can you glue opposite edges of a square? Relativity 7

This is a conundrum that many of the greatest mathematicians couldn’t figure out. While John Nash did answer yes – by proving the wonderful Nash isometric embedding theorems – he couldn’t say how. After 160 years of research, the Hévéa project finally did it! And it is spectacularly beautiful!

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Take a square sheet of paper. Can you glue opposite sides without ever folding the paper? This is a conundrum that many of the greatest modern mathematicians, like Gauss, Riemann, and Mandelbrot, couldn't figure out. While John Nash did answer yes, he couldn't say how. After 160 years of research, Vincent Borrelli and his collaborators have finally provided a revolutionary and breathtaking example of a bending of a square sheet of paper! And it is spectacularly beautiful!

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Hévéa Project.

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