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Prussia - Napoleon's Defeat question...

I never noticed this before, and Krause makes no reference to this: The two designs for 2 Marks and 3 Marks are identical, but I noticed that of the pair I recently purchased, the 2 Marks has a reeded edge, but the 3 Marks has a lettered edge. Any idea why the difference? I would have thought that as long as the obverse and reverse designs were identical, so would the edge designs...
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On the other hand, these were theoretically circulating coins - different edges would have assisted at-a-glance recognition of the denomination. In the same way, the modern 20 eurocent has a different edge to the otherwise-similar-looking 10 and 50 eurocent.
Roman emperor Marcus Aurelius, "Meditations"
Apparently I have been awarded the DPOTD twice.
Edited for (attempted) clarification.