Since we're all living on a sphere, at some point the difference is moot. I've been in a couple of dome houses and we had a museum here in NL that was built inside a geodesic dome (Aviodome, near Schiphol, since dismantled and moved to Amsterdam:
https://nl.wikipedia.org/wiki/Aviodome
and
What I love about the story is that the building was simply dismantled and put up again in a new location.
The only way a half sphere works out well is if your dealing with some form of pressure dome. Either using internal pressure to support weight, or in the case of a building underwater/Moon/Mars dealing with very high pressure differences.
https://en.wikipedia.org/wiki/Geodesic_dome
Some good sample images there.
And a geodesic dome does not require any internal supports, so it doesn't matter whether a pressure differential is involved.
Essentially any slice of a sphere can be made into a geodesic dome.
The dome provides a greenhouse enviro and then, inside that, they build regular old rectangular houses: https://www.loveproperty.com/gallerylist/66379/this-family-l...