I knew there were three different versions! People here have said there were only two, but I remember the gold braid on the shoulders/lapels going two different directions before they put it on the sleeves. And when they did finally put the braid on the sleeves, they put a black border around the neck, with gold piping around it.
Well, version 1 is the same in "The Enemy Within" and "Court Martial." That's the one with braid on the shoulders.
Version 2 is seen only in "The Doomsday Machine," and that's when the sleeves got the braid:

Version 3 is a lot like 2, but they added the black piping to the V-neck.