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I'm amazed. Truly a non-euclidian chess. If 'normal' chess with such a scramble becomes mind-bogglingly unpredictable, I fear the consequences of extrapolation on the method.
Extrapolation? You mean like to Chess with Different Armies? Or to some version of Hex Chess? Or how about Nemoroth?
What a fine game concept! Some possiblitities: 1. (For equal armies) Randomly choose colors for ranks 1-4 and make corresponding squares opposite colors, thus if a1 is white, a8 is black. The symmetrical board will not favor either side. 2. (For different armies) All squares start out uncolored. Black chooses his army, then white chooses his army and makes the first choice of squares. Players alternate choosing the color of any square on their half of the board--the corresponding square becomes the opposite color as above. The armies are then put on the board and play begins. The board almost certainly will favor one side.
Or a version of the pie rule (rather appropriate, don't you think?): the first player lays out the board, then the second player choses what color they will play.
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It might be nice to have a description of a Bishop's move on the example board -- I'd be perfectly willing to add a diagram for it to match the Rook and Knight examples.
Let's see. The way I envision a bishop is this. If I have a bishop on b1 and I want to move it northeast, it will go to b2 first (only one of b2,c2,c1 same color of b1). then follow to c3, d3 and e3 where it must stop since there is no valid northeast move from e3 (e4, f4 and f3 being black). Is that right?
would you get a pretty good(and even) game on a board with colours as follows? WBWBWBWB WBWBWBWB BWBWBWBW BWBWBWBW WBWBWBWB WBWBWBWB BWBWBWBW BWBWBWBW
In Ralph Betza's Pied Color Chess, all the pieces except Pawns are changed in their movement by the piing, unless they happen to have normal dark and light (eight)-square surrounding. In the Example the Rook on b1 starting to c2 can stop there or continue -b3-c4-d5-e6-f7-g8. In the coloration exampled there are no, zero, "normal" squares so far as adjacencies let alone two away and beyond. Watch what's beneath you!
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