Hello,

In my country, we learn 3D spaces in the final year of high school

The four dimension space is mostly use by physicists, I guess it is in relativity

As for mathematics, there is an infinity of dimensions. For example, matrices illustrate this, since their dimension can be any nonnegative integer n.

There are a lot of applications (in analysis, algebra or calculus...) where you use

. An element of it is in the form

where n is arbitrary.

And there are quite a lot of applications, but we don't quite use it for graphic representations.

Example :

The distance from a point

to another point

in

is defined as being :

(you can check that this works for p=2 and gives the formula you know).