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I would expect it to be weaker against more different pieces of roughly the same value. Because it allows the opponent more opportunities to do a move that makes the Imitator harmless in its current location.
In comparing the joker inthe 10x10 games with the joker in 12x12 games I've noticed that having more "options" is good. Imagine a KJBB vs KJBN the KJBB side has an advantage because the joker sees more potential moves.
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While playing my 12x12 variants I have noticed that besides the material type owned by the opposite side, the imitator's power is also greatly affected by the number of different types the opponent has. What is your guys take on this?