Igloo (AR Modeling Challenge)

Can you build this igloo with 8 entrances (& hole at top) within GeoGebra Augmented Reality? [br]Watch the screencast below for details. [b][br][br]Here are some additional clues: [/b][br][br]The [b][color=#1e84cc]blue surface [/color][/b]is part of a hemisphere. [br]The projection of each hole onto [b][color=#ff00ff]the plane z = 0[/color][/b] is either a full circle or part of a circle with radius = [math]\frac{\sqrt{2}}{2}[/math]. [br]The 8 floor openings are equally spaced apart. [br][br][br][b]As an added challenge: [/b][br][br]The [b][color=#1e84cc]blue surface[/color][/b] has 9 openings altogether. Thus, we can input 9 domain restrictions to get all of these.[br]However, how can we construct [b][color=#1e84cc]this surface[/color][/b] USING ONLY 3 DOMAIN RESTRICTIONS? [br](This was how it was actually created prior to recording).

Information: Igloo (AR Modeling Challenge)