Light Fixture (AR Modeling Challenge)
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.
Clues:
The center of the square (at the bottom) = (0,0,0).
The cross section of the blue surface and ANY PLANE parallel to the plane y = 0 is a hyperbola with center on the y-axis, transverse axis length = , and eccentricity = .
The cross section of the pink surface and ANY PLANE parallel to the plane x = 0 is a hyperbola with center on the x-axis, transverse axis length = , and eccentricity = .