I’m going to have to go with “it really doesn’t”, but that is about the best analogy we can come up with so we understand it. It is a mental model, not really what it is, just something we do understand that is sort of close to it.
All multi-dimensional systems have a structure of sorts, but all we humans have to use for imagining such things is how this 3-d world looks to us. So we think about other dimensions and other systems as if they were something that looks like what we actually can relate to. This does not make them like we imagine, it makes it so we can imagine something that at least starts to approach what the unknown thing actually is like.
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