The same mathematical equation connects the circle to the square, the sphere to the cube, the hyper-sphere to the hyper-cube, another also connects the ellipse to the rectangle, the ellipsoid to a rectangular parallelepiped, the hyper-ellipsoid To the rectangular hyper-parallelepiped. The understanding of these equations has taken us very far in a universe so familiar to mathematicians, the universe of periodic functions, and that of geometric forms with rounded ends revealing an infinity of new mathematical constants associated with them.
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