The inverse of a surface with respect to a point is the image of this surface by an inversion with pole the considered point.

The inverse of an algebraic surface of degree n is an algebraic surface with degree less than or equal to 2n.

Examples:
    - the inverse of a plane is a plane or a sphere depending on whether the center of inversion is, or is not, on the plane.

    - the inverse of a torus is a Dupin cyclide.

    - the cyclides are their own inverses.
 
 

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© Robert FERRÉOL  2017