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. [br][br][b]Modeling Clue:[/b][br][br]Cross sections of any plane parallel to the parallel to the plane y = 0 are squares whose diagonals are each 6 units long. [br][br][b]Hint: [br][/b]What kind of 2D function has a graph that comes in the shape of the letter "V"?
Quick Demo

Information: Fence Post with Square Cross Sections (AR Modeling Challenge)