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When I go to sleep at night, I often try to think about something
interesting or pleasant while I drift off. Last night I found myself
thinking about an odd Chess piece.
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The piece moves without capturing like a Dabbabah-Rider (repeated leaps
of two squares in the same orthogonal direction), but captures like a
Rook. So, mDDcWW or mDDcR in Ralph's funny notation.
<p>
And I found myself wondering: how powerful is this piece, and what sort
of game or problem would it be good for? I has a number of curious
characteristics: except for capturing, it is doubly colorbound, being
restricted to 1/4 of the board; and while it can switch by capturing,
at any time it can only attack 1/2 of the board.
<p>
It seems to me that this piece is vaguely cannon-like, being more powerful
in the opening and midgame than the endgame. It also seems to me that it
might be a very charming part of a piece mix. Any thoughts?