How can I convert an $n$-dimensional vector to a 2d point?

Question

I have a $n$-dimensional vector / sequence of values, how can I convert it to a 2D representation of such vector?

Follow-up: if I had a time-sequence in which every frame is $n$-dimensional, how can I convert it to a 2D point?

Answer 1

What Maesumi said in the comments is false. The answer is going to need more information of what exactly is the context. In principle, theoretically, we can store all $n$-vectors in just real numbers: Form a real number $0.a_1a_2a_3...$ between zero and one in the following way.

Divide all components of the $n$-vector by some $10^M$ such that all are numbers in $[0,1]$

In the digits $a_j$ of position $j$ congruent to $i$, for $i=1,2,..,n$, mod $n+1$ store the digits of the $i$-th component of the vector (after the division by $10^M$). In the digits of position multiple of $n+1$ store the digits of $M$.

All the information of the vector can be stored in a single number. So, in 2D you even have an extra dimension to play around.