Okay, if Jonathan Bowers is here, he would know best, but, anyways.
All dimensions are defined by exponents. i.e Tetraspace is x^4, whereas in general, x^n is dimensions. Now, x^^n, is tetration. Several spaces are definable by tetration, infinite in fact:
x^x^n - Super Dimensions
x^x^x^n - Trimensions
x^x^x^x^n - Quadremensions
etc. etc.
And n can be anything.
From what I interpret, this is analogous to linear, planar, realmar, flunar spaces in dimensions BUT I MAY BE WRONG.
Then you can go onto pentation: x^^^n. Spaces can be defined by this.
This goes on and on and on etc. etc..
THIS IS EXTREMELY HARD TO UNDERSTAND, IT CONFUSES ME IMMENSLY, DO NOT GET ME WRONG, IT IS JUST A GENERAL INTRODUCTION.
Anyways, I was wondering, I know this does not fit exactly here, what are spaces BELOW dimensional spaces - i.e. spaces defined by multiplication, addition and (maybe) counting?
Some would say a plane is defined by multiplication, I disagree, but if I am wrong tell me, some say a line is defined by addition, I disagree, but if I am wrong tell me.
Also, are there any other spaces defined by exponents besides dimensions.
THANKS IN ADVANCED FOR HELPING MY SEVERELY CONFUSED MIND.