This activity belongs to the GeoGebra Road Runner (beep, beep) book.
In this construction, you can see an example with surfaces. The button allows you to choose from some predefined paths:
The smaller circle (t, 0)
The larger circle (0, t)
The composition of both (t, t)
Solenoid (5t, t)
Trefoil knot (t, sen(t))
You can also choose any other paths you want, as long as you know a parameterization, by checking the Specify checkbox.
Note: To improve execution agility, it is recommended to download the GGB file. Remember that, in this case, it may be necessary to readjust the height of the 3D view to reposition the point in the desired position. For this adjustment, the magenta slider that appears once downloaded may be helpful (you may need to temporarily hide the 2D graphics view to see it).
Author of the construction of GeoGebra: Rafael Losada
button allows you to choose from some predefined paths: