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I mean if higher dimensions are 90 degrees from one another the common saying goes, then, as they say it is pretty hard to imagine(even Stephen Hawking has said this) what is 90 degrees after you get the third dimension?

I basically came to think that the fourth and higher dimensions are overlapping on one another by symmetry. Each symmetry is a higher dimension. How many symmetries a given space defined by a given shape is how many higher dimensions it can at least possibly have. I mean a cartesian plane turned 360 degrees on each other can have an infinity of dimensions of multiples of four.

Well, don't know if anybody has ever thought of this, so I posted it!