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The World of Dreams is currently accepted as 5-D, as seen in the previous thread, here.
So, a singular dream within the World of Dreams would be 5-D. There are cases in-story where we have seen instances where characters dream in a dream, they awaken from the dream and enter a new one, viewing the one before it as "unreal". The maximum dream transcendence shown was 3. We also see an instance of Squid Ink Cookie dreaming continuously, and Moonlight Cookie herself dreaming in a dream.
So, with the normal Dream being 5-dimensional, the three other dreams it layers into, each one viewing the one before it as "unreal", thus implying a transcendence. Making it about 8-D.
So, a singular dream within the World of Dreams would be 5-D. There are cases in-story where we have seen instances where characters dream in a dream, they awaken from the dream and enter a new one, viewing the one before it as "unreal". The maximum dream transcendence shown was 3. We also see an instance of Squid Ink Cookie dreaming continuously, and Moonlight Cookie herself dreaming in a dream.
So, with the normal Dream being 5-dimensional, the three other dreams it layers into, each one viewing the one before it as "unreal", thus implying a transcendence. Making it about 8-D.