Igloo (AR Modeling Challenge)

Can you build this igloo with 8 entrances (& hole at top) within GeoGebra Augmented Reality? Watch the screencast below for details. Here are some additional clues: The blue surface is part of a hemisphere. The projection of each hole onto the plane z = 0 is either a full circle or part of a circle with radius = . The 8 floor openings are equally spaced apart. As an added challenge: The blue surface has 9 openings altogether. Thus, we can input 9 domain restrictions to get all of these. However, how can we construct this surface USING ONLY 3 DOMAIN RESTRICTIONS? (This was how it was actually created prior to recording).