[ars]

Here's a possible answer. Imagine a 2d universe - a piece of paper. Cut that paper into infinitely thin lines, and line them up.

You have converted the 2d paper into a 1d line, but in the process have made the line much longer than the 2d version. (Like the difference between Aleph 0 and Aleph 1.)

I don't see any way to go lower than that though.

[mcxlog]

To go lower you cut the line into infinitely many points and stack them together :-) ?