I'm totally going to stab you.
The edelweiss cap badge has a few different versions and was changed a bit after WW2 for what I'm guessing was 'feels'. The one that resembles the one that is current is the one to the furthest right in the picture that has like a pewter tone to it. It's still worn on the left side of the mountain cap, which is different from everyone elses' cap in the Heer/Bundeswehr. It is common for a mountain cap to be tilted so that its worn a bit to the left so that people behind you could see it; if you ever see me wearing a regular baseball hat to this day, its tilted slightly left out of sheer habit.
There's at least 1 other cap badge still used that I know of (or at least pre-2003ish bundeseswehr reorganization) because I got it when I completed MWCS and an advanced mountain MOS type school in Mittenwald. It has 3 oak leaves and is roughly the same size as the edelweiss.
The only time I've seen the flower without the stem used is at the actual Gebirgsjager kaserne (barracks).
Also if I remember right, I think the Austrians originally used the edelweiss insignia and then the Germans were like fuck you, we're using it and shamelessly took it over. But its been a past time to fuck with Austrians for as long as I can remember. Hell, in my office I have a framed newspaper from March 13, 1938 with the headline of Austria Joined To Germany, for this exact reason.
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