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INVERSE OF A SURFACE WITH RESPECT TO A POINT

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 2*n*.

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