If P is a point that is not the same as the center O of sphere , the inverse of P in, or with respect to, sphere  is the point Q lying on the line OP such that .

Sphere  is called the sphere of inversion, point O the center of inversion, r the radius of inversion, and  the power of inversion.

For a detailed description of Q the object created, use the routine detail (i.e., detail(Q))

The command with(geom3d,inversion) allows the use of the abbreviated form of this command.

Warning, assume that the name of the axes are _x, _y and _z