I get 1, 2, and 3 dimensions and their visual representations. For instance, 3-dimensional space has width, length, and depth but how about a 6-dimensional space, how can we grasp it in n intuitive manner free of mathematical analysis?
In: 8
Dimensions are first and foremost a math concept. It just so happens the real universe we know can be described by a specific dimensional space called R3 (3 real numbers, commonly called X,Y,Z or length, width, depth.)
However, if we happened to live on a flat plane or on the surface of a perfectly round sphere, our universe could be described with R2. (Indeed, longitude and latitude describe a position on the surface of the Earth using two real numbers!)
But notice that R2 can describe *two* different shapes of universes: surface of a sphere *or* a flat plane. That means that even though R2 can describe or limit the shape of those universes, R2 does not *define* the shape of those universes. Simply knowing the universe can be described with R2 is not enough to know the actual shape of the universe.
So, when you want to imagine a universe that can be described by R6 it could mean many different things, just like a universe described by R2 can mean many different things. There is no single R6 universe: there are infinitely many R6 universes.
Think of R6 as a category.
And your question wasn’t even about R6: it was about 6D. R6 is only one of the possible 6D spaces!
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