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so, when you're saying it is abnormal to think of the cells as platforms when considering flying pieces, you mean: it does not make sense if they were 2x2 platforms, because if a Flying piece were to go up, the piece has to move into the shaft and go through a one-way door in the platform. If, however, the piece were to go down, when it reaches the shaft, it could just jump down onto the platform below! i believe this is what you mean. one idea for a variant may be to allow pieces to jump down to the adjacent lower level, but not upward.
Very good, well-thought out game, with pieces which compliment the board--some require elevator movement, some use the empty shafts, and the ox can use them to capture. Nicely done.
I will say the rules allowing the flying pieces to go 'up, through an elevator trapdoor' feel very unintuitive; especially if playing with a physical set. It makes more sense to me to allow flying pieces to go either up or down through the empty shafts only; this would also make it impossible to threaten an identical piece without also being in danger.
Still, a very good variant!
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Also, what about Flying pieces? If the flying rook moves through a shaft, say on level 2, could it go through another shaft at level 3 and end up at level 4?