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What If the Earth Was Cube Shaped?

The physics of a cubic Earth would be pretty special.

If The World were shapes like a cube, the corners would collapse down as massive earthquakes emerge while the planet transforms from a cube to a sphere, which is the only stable shape under its gravity.

But if we suppose that doesn’t happen, then there are bound to be some strange effects. The further you go to any edge, the more the ground seems to slope as gravity pulls you towards the center of any given face of the cube. All the water would puddle in the centers of the faces, and going to any edge would be like climbing a gradually inclining mountain, with the edges being like mountain ranges.
To get more insight into how this works, I can recommend the following video: 

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