In this GeoGebra Augmented Reality modeling challenge, the goal is to author two surface equations (with domain restrictions) that reconstructs part of this light fixture shown in the screencast below. [br][br][b]Clues:[/b] [br][br]The center of the square (at the bottom) = (0,0,0).[br][br]The cross section of the [b][color=#1e84cc]blue surface[/color][/b] and ANY PLANE parallel to the plane y = 0 is a hyperbola with center on the y-axis, transverse axis length = [math]2\sqrt{2}[/math], and eccentricity = [math]\frac{\sqrt{66}}{5}[/math]. [br][br]The cross section of the [b][color=#ff00ff]pink surface[/color][/b] and ANY PLANE parallel to the plane x = 0 is a hyperbola with center on the x-axis, transverse axis length = [math]2\sqrt{2}[/math], and eccentricity = [math]\frac{\sqrt{66}}{5}[/math].