Re: Crazily shaped assignment patches
The Defiant had the arrowhead of the Enterprise in the episode The Tholian Web
, What they did in In a Mirror, Darkly
was a retcon.
It's unclear how the patches actually related to various ships. Some Starbase personnel actually wore the Enterprise arrowhead as well.
"I had no idea you were so... formidable. " - Anan 7 to James T. Kirk, A Taste of Armageddon