I bought these socks to wear with my minimalist running shoes, and purposely chose the 6-12 size to make sure they would be short (my feet are size 12).  These socks still went up to my ankle so these are not "no-shows".  No-shows should cover the tops of your feet and wrap around the top of your heel.  I have been looking for true no-shows for years but am disappointed yet again.  I think they only make true no-shows for women, which I may end up resorting to.
The socks themselves are high quality and somewhat thick - like the athletic socks of old.  I'm please with the quality, but the size wasn't what I had hoped from a "no-show"

Edit Update 2/27/13:  I've had these socks for 4 months and I'm down to 1 pair.  The other 5 pr got holes in the bottom and I had to throw them out.  Will not be reordering.