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Michael Nelson wrote on Tue, Nov 28, 2023 04:43 PM UTC:

Some thoughts on the "can mate" property of pieces. Apparently, since K + NW vs. King can force mate, King + X can force mate if X is any of the Harvestman compounds, or presumably where X is the Harvestman itself, though I'm not familiar with mating with NW's and Zillions is not good at it. We know mate can be forced if X is a Cardinal. As has been pointed out, when X is a Gnu, the game is drawn. If X is a Caliph (BC), I assume it is also a draw, as the Caliph is colorbound.

In Chess, a major piece (Queen, Rook) can mate, while a minor piece (Bishop, Knight) can't and this is the definition of major and minor pieces. In Chess, the majors are stronger in terms of overall power as well. This is not necessarily true of variants. It is quite possible for a minor piece to have more overall power than a major piece. Can mate is only a significant part of piece value (the proportion is unknown and may vary).

A thought for research: how much less valuable is a Queen which can't capture a King than a normal Queen? The possibility of King capture is the basis for check and mate, though in Chess and variants using the checkmate rules, the capture is never actually carried out.

For Colorful Osmosis, if my assumptions are correct, the major pieces are Harvestman, Evangelist, Imam, Battlemaster, and Cardinal; while the minor pieces are Bishop, Knight, Camel, Gnu, and Caliph.

Please let me know if any of my assumptions are incorrect.


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