I would like to draw an arbitrary open set R on the xy-plane in R^3 as a sort of "blob", i.e. not anything with a particular shape. Does anyone have an idea of how?
You can use the Spline command to create a "blob" that goes through those points. In 2D it can be filled, in 3D you would have to approximate it by a polygon to fill it. The following command works well if your spline is called a
.
Polygon(Sequence(a(k),k,0,1,0.01))
Please note that this is not a programing question and is better suited for GeoGebra help forum.