Wiffle Ball (AR Modeling Challenge)

The goal of this GeoGebra Augmented Reality modeling challenge, is to author 2 surface equations (with domain restrictions) in order to design a wiffle ball (as seen in this screencast). Modeling Clues: 1) The ball itself is a sphere of radius 5 centered at (0,0,0). 2) The projection of the small top hole onto the plane z = 0 is a circle with radius = . 3) The projections of each of the 6 equally-spaced openings onto the plane z = 0 are ellipses whose centers are 3.8 units away from (0,0,0). Each ellipse has major axis length & eccentricity = . **As an added challenge, try to construct the blue hemisphere using only 3 domain restrictions.