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You're welcome. Since a square and it's corresponding square on the other board are never both occupied, Alice Chess can actually be played on a single board unlike O'Donohue Chess.
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Note that the verbal description of the Alibabante does not correspond to the move in the Diagram, but is that of the Dababbante.
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I am not a fan of the original 1971 game, using a piece that combines the moves of 2-leapers, 4-leapers, 6-leapers and 8-leapers. Since this is the "Mark II" version of an old game, you are free to try a new definition of the Alibabante. I would suggest the Dragon from Caïssa Britannia (2003).
DRAGON: "This piece was created by Fergus Duniho for this game. It is a compound of an Alfilrider and a Dabbabarider. It may make any number of consecutive two-space leaps in the same radial direction, so long as each leap except the last lands on an empty space. It may cover only a quarter of the board, which makes it weaker than other pieces, but its powers of movement do make it invulnerable to attacks from the Queen beyond a two-space perimeter. Since a Queen may not pass through check, it must already be within two spaces of a Dragon to capture it." The Queen in this quote is a very different piece from the FIDE Queen.
Many thanks for your work here posting Interactive Diagrams. I apologise for the delay in proof reading my draft of Alice Courier Chess, causing you to put up an 8x8 Interactive Diagram before I remembered to add the 2 x (8 x 8) tag. Actually, this basic 8x8 version could still be useful for practicing with the new piece set.