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Man and Beast 02: Shield Bearers. Systematic naming of divergent coprime radial pieces.[All Comments] [Add Comment or Rating]
Jeremy Lennert wrote on Sun, Dec 11, 2011 08:43 AM UTC:
You write, '[Divergent] pieces are stronger than either non-divergent piece, but weaker than the unrestricted compound piece.'

This seems exceedingly unlikely.  You seem to be claiming that a piece that moves as a Queen but captures as a Knight is stronger than either; in fact, read strictly, I believe you are claiming that a piece that moves as a Queen but captures as a Bishop is stronger than a Queen, even though it has strictly fewer moves.

I believe conventional wisdom is that such pieces (which George Jeliss calls 'snipers') usually have a value that is somewhere between the strengths of the non-divergent pieces, closer to the capturing component than the non-capturing one.  (Though I'm certain it is possible to craft examples that violate this rule.)