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Cyclid: inversion of a toroid over a sphere

In this case, the inversion of a certain surface will be made on a sphere that may or may not be at the origin. Example is the sphere: x^2 + y^2 + z^2 = R^2, the coordinates of the new points will be after the inversion: (x, y, z) -> R^2.(x, y, z) / (x^2 + y^2 + z^2).

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