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Could you have more than one building in the same spot by "stacking" them in 4th dimensional space?

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In my universe a 4th SPACIAL dimension exists around our 3 dimensions. I'm playing with ideas for a society that has access to a 4th spacial dimension and am currently thinking of what they would be able to construct. My thought process is this:

Say you are a 3D being and have a square 2D hotel in a 2D universe. You are thinking of adding an expansion but all available room near your hotel is occupied. So you build a whole new hotel and push it up one foot on top of your original hotel and install a way for the 2D people to move up and down between hotels. To them it would seem like they hadn't moved at all in 2D space and the hotel just changed around them.

Is it possible for multiple 3D buildings to occupy the same location in 3D space but be "stacked" in the 4th dimension? (Under the assumption a 4th spacial dimension exists around our 3D universe.)

Edit: Added emphasis on spacial because too many people think I am asking about a temporal dimension.

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This post was sourced from https://worldbuilding.stackexchange.com/q/86281. It is licensed under CC BY-SA 3.0.

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