In this GeoGebra Augmented Reality Modeling challenge, the goal is to author 2 surface equations (with domain restrictions) to recreate what is seen in the screencast below. [br][br]The [b][color=#1e84cc]blue surface[/color][/b] consists of 4 congruent isosceles trapezoids. [br]The [b][color=#ff00ff]pink surface[/color][/b] is a square. [br][br][b]Modeling Clues: [/b][br][br]1) If the non-parallel edges of the [b][color=#1e84cc]4 blue isosceles trapezoids[/color][/b] were to extend upwards, they would all meet [br] at (0,0,5). That is, these [b][color=#1e84cc]4 isosceles trapezoids[/color][/b] are part of a square pyramid whose apex lies at (0,0,5).[br][br]2) Suppose the height of this pyramid (described in (1)) = [i]h[/i]. Suppose the distance from the center of the [br] base of this pyramid to a vertex of this base = [i]r[/i]. Here, in this screencast, we have [math]\left|\frac{h}{r}\right|=\frac{13\sqrt{2}}{20}[/math]. [br][br]3) The longer base of each [b][color=#1e84cc]isosceles trapezoid[/color][/b] measures [math]\frac{100}{13}[/math] units. [br]