Well, it can kinda "make itself".

Electronics and strong materials (steel mostly) are not included, and it takes quite a bit of assembly.

But yes, it awesome.

Lathes had been making themselves for ages before 3D printers.

That's a good point! I guess the iteration cycle has gotten an order of magnitude quicker and cheaper with 3D printers.

The most interesting thing about reprap is that it is a long lasting community who does (real) open innovation. There open innovation is not a buzzword. The reprap community didn't invent 3D printing, but they lowered the price and access and are the single (ahem, multiple) cause of the present flood of low cost, reliable 3D printers. They experimented, took many false paths, and continue to push in new direction. They also are the origin of many growing companies : Aleph, Prusa, even the French Dagoma…

Ha Ha! I have spent way too much time staring at 3D printers to get a good print! :)

Not to be overly pedantic but the Singularity is defined as the point at which AI has reached runaway growth during which it would improve itself beyond anything imaginable by humans.

I think you're just talking about a self-replicating machine like a Von Neumann Probe. (check out the show Lexx if you want to see the hilarious end result of this)