Inspired by the theme
Examples in the Mathematica did Alexander Bannikov.
It is equidistant radius 0.1 to the surface
(x1 ^ 2 + x2 ^ 2-0.4) ^ 2 + (x3 + sin (x1 * x2 + x3)) ^ 4-0.1 = 0;
and an example of parameterization the same surface
As I have understood from the words of Alexander Bannikov, parameterization was performed using the functions: RegionFunction, ContourPlot3D, ClippingPlanes.
It turns out that Maple functions inferior?