Davidn,
I have never heard of Luger magazines described in this fashion... can you identify where you saw these terms or the context... that might help figure out what a "square" or "round" Luger magazine is...
As far as I know, the Finnish models came with a stamped and folded sheet metal type mag, but wait for someone else to comment... that is not an area where I am very knowledgeable...
if you are talking about spare mags to shoot with, then the best aftermarket mags are made by Mec-Gar, They are the sheet metal type and are well made and hold 8 rounds. I would stay away from the Triple-K type. They only hold 7 rounds...
....and the best original mags are the extruded steel type... they are marked with at least one of the following stamps.
FXO
37
122
or "Haenel Schmeisser"
The East Germans made FXO type mags post war and they are stamped
1001/2
Welcome to the Lugerforum... you young kid you...
-from an old-timer (59 yr/old kid).