Heinz Ketchup Bottle Modeling in GeoGebra Augmented Reality: 2 Attempts

Here, in the first screencast, a polynomial-of-best-fit (of degree 5) was generated by plotting points and creating a best-fit model as further demonstrated in this previous resource. In the second screencast, 2 different surface equations were used. Questions to consider: How would you describe these surfaces? What exactly are they? What could we do differently to improve this 3d model? How do the equations mathematically ensure the 2 surfaces do not overlap?

Attempt 1

Attempt 2