I pretty sure that’s not what non-Eucludian means. It’s not just built on a rounded surface. The lines of latitude and longitude we define on a globe may exhibit non-Eucludian geometry, but that doesn’t mean your house is non-Eucludian.
These things are non-Eucludian: parallel lines that diverge or converge; triangles with interior angles don’t add up to 180 degrees; hallways that appear perfectly straight, but also intersect with themselves; square rooms where every wall is perpendicular, but opposite walls aren’t always parallel. Brain breaking stuff, not “all of our geometry”. That would be dumb.
I pretty sure that’s not what non-Eucludian means. It’s not just built on a rounded surface. The lines of latitude and longitude we define on a globe may exhibit non-Eucludian geometry, but that doesn’t mean your house is non-Eucludian.
These things are non-Eucludian: parallel lines that diverge or converge; triangles with interior angles don’t add up to 180 degrees; hallways that appear perfectly straight, but also intersect with themselves; square rooms where every wall is perpendicular, but opposite walls aren’t always parallel. Brain breaking stuff, not “all of our geometry”. That would be dumb.