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).