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Where would this amount of dimensions scale?

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Basically, I’m planning on making a verse that is very Cthulhu-esque (intentionally so: Lovecraft is one of the main characters) and it’s stated the dimension the main villains live in has so many dimensions we don’t have a number for it yet. Where would this scale? And would being able to live in a realm like this while not having been born there scale anywhere?
 
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The statement in question. Note that later on we do see her get trapped in said dimension:
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I think the number of dimensions may be at least greater than natural numbers and perhaps closer to irrational numbers.
 
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