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due to the curvature of the Earth a really long building can't have walls that are both parallel and level.

Aparently, I’ve conflated Level with Plumb, the walls cannot be parallel and plumb. Due to the curve, the center of gravity for the walls would require them to angle in slightly together or not be plumb.

Cylarc ,

The original post has nothing to do with the curvature of space time, or non-Euclidean geometry.

This only has to do with the fact that on a plane (e.g floor of a building, of literally any size), above a gravity source (here, we can treat the earth as a point source), the gravitational vector will only be perpendicular to the surface at a single point. All other points will experience gravity at an angle.

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