Mailbox Top (AR Modeling Challenge)

Topic:
Hyperbola
In this challenge, we see 4 surfaces that join perfectly together. How can we reconstruct this surface within GeoGebra Augmented Reality? Clues: The blue surfaces are parts of infinitely long hyperbolic sheets. The cross section of this infinitely long surface withany plane parallel to the plane y = 0 is a hyperbola with foci located units away from its center. The entire conjugate axis of this described hyperbola would be 2 units long. The pink surfaces are parts of infinitely long hyperbolic sheets. The cross section of this infinitely long surface withany plane parallel to the plane x = 0 is a hyperbola with foci located units away from its center. The entire conjugate axis of this described hyperbola would be 2 units long.