A way of cutting holes on an implicit plot. This is from the field of numerical parameterization of surfaces. On the example of the surface x3 = 0.01*exp (x1) / (0.01 + x1^4 + x2^4 + x3^4) consider the approach to producing holes. The surface is locally parameterized in some suitable way and the place for the hole and its size are selected. In the first example, the parametrization is performed on the basis of the section of the initial surface by perpendicular planes. In the second example, "round" parametrization. It is made on the basis of the cylinder and the planes passing through its axis. Holes can be of any size and any shape. In the figures, the cut out surface sections are colored green and are located above their own holes at an equidistant to the original surface.