Modeling a Trampoline + Net in GeoGebra Augmented Reality

[color=#ff00ff][b]Note the base is a circle. [/b][/color][br][br][color=#1e84cc][b]The net consists of 2 pieces of a hyperboloid of 1 sheet. [/b][/color][br][br]Why is it (currently) not possible to model the[b][color=#1e84cc] entire net[/color][/b] with one surface equation?
Quick Demo

Information: Modeling a Trampoline + Net in GeoGebra Augmented Reality