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As the inventor of a variant with curved linepieces on a hex board I was impressed by this one on a square board. Perhaps I should try and develop my variant further on a larger board with two forms of circular Sennight.
My only quibble is that as a Bishop analogue the 'circular Alibaba' is bound to too little of the board. It occurs to me that a 'circular Waffle' for Rook and a 'circular Fezbaba' for Bishop might work better. That way the pieces would have similar ranges and the original bindings.
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My mistake, while thinking about the circular movement, I completely forgot that it makes Alfil and Dabbabah moves. The Halfling Rose was defined to make 1 to 4 Knight-leaps, regardless of its position on the board. For an ASCII diagram of the 32 possible (Halfling) Rose moves on a 16x16 board, see my Game Courier Preset Page for Rose Chess XII.
'Pawns on the fifth are entitled a forward triple step.' Should that read third? Also you wrote: 'Circular Alibabasinit'.