Splines
This activity belongs to the GeoGebra Road Runner (beep, beep) book.
Although it is recommended, it is not absolutely necessary to know a parameterization of the path we want to take. Using the Spline command, we can instruct GeoGebra to parameterize a curve that passes through the points we desire.
Note: To improve execution agility, downloading the GGB file is recommended. Remember that in this case, it may be necessary to readjust the height of the 3D view to reposition the point as desired. For this adjustment, the magenta slider that appears after downloading may be useful (you may need to temporarily hide the 2D graph view to see it).
Author of the construction of GeoGebra: Rafael Losada