If you consider the $x-y$ plane, any $(x,y)$ point exists with $x\in(-\infty, \infty)$ and $y\in( -\infty,\infty)$. Is it possible to represent any $x,y$ point in only one dimension (e.g. one number)?
For example consider a discrete $8\times 8$ grid. You can represent this as $x,y$ coordinates but you can also represent it as one number in the range $[0,64)$. Can this be done in a non-discrete setting?
