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.

That’s not really what “non-Euclidean” means in general, but even then we typically start a building with a flat foundation, and then build very Euclidean architecture on top of that foundation.

🎵 🎶 “My little R’lyeh Myyy Littleee Rylyeeeee!! Ph’nglui mglw’nafh!!! Cthulhu R’lyeh wgah’nagl FHTAAAAAAANGH!!!” 🎶 🎵

Aww, but then we don’t get to imagine a world that’s running on Solv geometry. That shit looks funky.

Edit: mathed wrong on the timestamp.