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Note that as part of an attempt to get rid of the ridiculous names of some of the CwDA pieces it was decided the Fibnif should be renamed to Lancer.
And yes, a pair of Lancers is pretty good at checkmating. An overview for various board sizes:
board size | won | lost | worst-case/average DTM |
---|---|---|---|
8x8 | 98.3% | 69.8% | 21 / 12.4 |
10x8 | 98.4% | 74.1% | 23 / 15.0 |
12x8 | 98.4% | 77.0% | 27 / 17.9 |
Given that Knight + Wazir is already won, and that blocking plays virtually no role at all in the late end-game (especially when the losing side cannot block because the squares where this could be done are attacked by the piece itself), two WazirKnights should have no problem at all. My EGT generator does not do lame leaps, but with a pair of NW the stats are:
pieces | board size | won | lost | worst-case/average DTM |
---|---|---|---|---|
N + W | 8x8 | 93.7% | 61.0% | 45 / 28.4 |
N + W | 10x8 | 92.9% | 64.6% | 56 / 36.2 |
N + W | 12x8 | 92.4% | 67.5% | 69 / 44.2 |
2 x NW | 8x8 | 99.9% | 73.9% | 11 / 6.3 |
2 x NW | 10x8 | 99.9% | 78.0% | 13 / 7.6 |
2 x NW | 12x8 | 99.9% | 81.1% | 16 / 9 |
Note that the winning percentage for N + W is not as high as commonly found in general wins. This is because a Wazir can easily be chased to doom by a King, when it happens to wake up cut off from the rest of its army. So there are a lot more positions where the strong side loses a piece despite the fact that he has the move (which otherwise are usually limited to forks in configurations where one of the pieces cannot move away while protecting the other, or attacked pieces trapped against an edge or in a corner).
Does anyone know if 2 fibnifs can force mate against a lone K, say on 10x8 or 12x8 rectangular boards?
While I'm at it, a bigger challenge might be the off-topic question: Can 2 compound pieces force mate vs. a lone K on 12x8, if they are both a lame knight (that is, a Chinese Chess horse) plus wazir movement compound piece?


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Thanks for the info, H.G.!