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We don't actually know how many dimensions there really are. Certain theoretical considerations imply that there are at least 10 or 11, it's just that most of them are "curled up small" and we don't notice them.

That said, a 4D object cannot fully exist in a 3D space. However, a 3 dimensional "slice" of them can exist in that space, just like a 2D "slice" of a 3D object can exist in a 2D space.

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Q: Can 4D objects exist in your 3D world?
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