Drawing a corkscrew

 From:  Involute
6970.1 
I can draw a tapered helix, and I can sweep a circle along it (which looks like an extrusion from a soft serve ice cream machine), but how can I draw a proper corkscrew (like this: http://tinyurl.com/lzvq8ku )? Thanks.

EDITED: 6 Oct 2014 by INVOLUTE