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I like domes due to their strength and efficiency of volume to surface area.
My concerns would be:
Attenuating noise
Incorporating large windows
Efficient utilization of the space (things we put in homes are optimized for rectangular rooms, such as the TV)
Maintenance cost, especially the large roofing surface
Heating/cooling - hot air would tend to rise - need air flow to mix the air within the house
Cost
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