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Suppose White has only two rooks and king, and Black has only his king. If the kings are separated, then the mate is easy and resembles the mate in chess (but is even easier). For example, consider:
1. Re1+ Kf3 2. Rf2+ (unlike in chess, White doesn't have to waste time worrying about his rooks being captured) Kg3 3. Rg1+ Kh3 4. Rh2# White simply cut off the files, one by one with his rooks. If the kings are connected, then White wins by achieving the setup described in "King and Two Queens vs. King." We will consider the two cases where it is each color's turn to move from the setup. First, consider:
1. ... Kc3 2. Rbb2 Kc4 3. Rb3 Kd5 4. Ra4 Kc6 5. Rb5 Kd7 6. Ra6 Kc8 7. Rb7 Kd8 8. Ra8# Now, let's look at that position with White to move. He must triangulate a rook. Consider:
1. Rh1 Kb1 (1. ... Kc3 Rb2 and the kings are separated, or 1. ... Kb3 2. Rg1 Kb2 (other moves make separation easy) 3. Rb1 triangulation complete) 2. Rg1 Kb2 3. Rb1 triangulation complete. Now the win proceeds as above. |