BCOF Base patch

[badgecollector]

hi all
just a quick question regarding the BCOF Base patch.
i have only ever seen the Right sided patch once that i can remember.
on a google search the majority of the pics show the Left sided patch as shown below. however, keith's book shows opposing patches.
why is one harder to find than the other?
was one of them worn on the slouch hat while the other on the sleeve?
thanks in advance
bc