Single Comment

Crab. Jumps as knight but only `narrow forwards' or `wide backwards'.[All Comments] [Add Comment or Rating]

George Duke wrote on Fri, Oct 7, 2011 03:26 PM UTC:

Still (re)familiarizing with some of these geometric ways of making/breaking piece-types, I think the Crabrider's paths to return have to be 4, or 5, or 6, or multiples of them or additions of them, the latter like (4+5), (5+5), (5+6).  Then player so inclined, or skilled to plan ahead, naturally knows there is no '7'.  The detail here is interesting where there are more gaps in possibilities like Crab. Does the board have to be bigger than 8x8 for some or at some point? Apparently not these two. Now inclusive would be 4, 5, 6, 8, 9, 10, 11, 12..., Crabrider having no more omissions, and the '8' case is next up from what Gilman already mentions. '8's can vary hundreds of ways on 64 squares, probably not tens of thousands (they are very countable). 
Crabrider is more problemists', but regular Crab is worth recognizing as much better intriquing piece-type than C.D.A. Fibnif despite 2:3 values. At the section ''Crab as a Piece,'' Betza in fact recommends Crab, two of them, for C.D.A. improvement of Amazon Army.