My gut feeling is it can, but I also recognize there's a lot of weirdness to it. Like you can't cross a border that's a singular point without also temporarily crossing the borders of a third state.
But even though the Four Corners may be a single point on the ground, I'd assume there's also a vertical component to the borders as well (air space). That's a line. I'm no mathematician, but I believe that's the z-axis
So, ostensibly if you're cool with borders that touch along an x or y axis on the ground, then shouldn't a z axis count as well? Or do two states need to share a geometric plane to be considered bordering?
Really, though, in the politics of borders and geography, how much does math really matter if Congress can just pass a law declaring something to be so? Anyway, I'm just thinking out loud...
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