Fence Post with Square Cross Sections (AR Modeling Challenge)

Students:

Using only 2 surface equations with domain restrictions, try to reconstruct this piece of wooden fence within GeoGebra Augmented Reality. Modeling Clue: Cross sections of any plane parallel to the parallel to the plane y = 0 are squares whose diagonals are each 6 units long. Hint: What kind of 2D function has a graph that comes in the shape of the letter "V"?

Quick Demo