I don't think that will work out very well as it stands - there are disconnected pieces (although you might be able to print each one separately). I tried:

It's close to being printable, at least - but obviously not identical to the plot you want. If you print it in inches, it's 6 inches across. You will want to experiment with increasing the "detail" (PlotPoints -> n, for example). And the shape might require 'fixing' in an external program, because Mathematica doesn't always get the geometry right inside shapes (for example, there might be self-intersecting surfaces, etc.) In my experience it isn't always as easy as people say.