Chess on an Infinite Plane (game: cobra91 - vickalan)

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Avatar of cobra91

20. Bx(2,9)

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difficult! Another bad move and I can be mated already.sad.png

20...B(7,9)

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Avatar of cobra91

It looks like we're both getting slaughtered at our favorite games. Laughing  Over in "Grasshopper Chess", White's position is more or less resignable.

21. B(6,13)

Avatar of vickalan
Yes, I agree with your synopsis. But I don't think in either game one side is being "slaughtered". This game I'm certainly behind, but it's still a game at both threads as I see it.happy.png
 
btw, (re: hawk): For what it's worth I've seen estimates that a hawk can be worth about double a knight (it attacks twice the squares), or might be a little higher (up to 7 or even 8?). I've seen very little good info on it. If someone has a good basis for a better estimate of its value, I'd love to hear it (though no one is obliged to say, especially considering this game is in progress with hawks on the board). Anyway...
21...H(11,12)
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Avatar of cobra91

H.G. Muller still has the world's best system for determining piece values, I believe. However, it's important to be aware of the fact that piece values fluctuate TREMENDOUSLY when factors like board size and accompanying material composition are varied. As a basic example, the hawk must be worth significantly less in "Chess on an Infinite Plane" than in "Musketeer Chess", because the values of pieces with limited range generally decrease on larger boards.

22. B(8,11)+

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22...K(5,7)

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23. B(1,3)+

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23...K(6,6)

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24. Cx(7,9)

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24...Cx(7,9)

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25. Rx(7,9)

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(back to HGMuller, I looked around for information he posted about chess piece values. He has a neat formula and I'll post a new thread about it soon - just for discussion). Here:

25...N(5,10)

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Avatar of cobra91

In that case, you may want to try getting H.G. Muller himself involved in the conversation (I'm pretty sure he has a Chess.com account with a recognizable username). Trust me - his understanding of piece values is the deepest and most comprehensive you'll find anywhere, as he's performed a truly unprecedented amount of empirical testing (making great use of computer assistance) over the years.

26. R(5,9)

Avatar of vickalan

I started a thread showing a formula he developed. He would call it the short range leaper law so I'll call it "Muller's Short-Range Leaper Law". (now he has a formula named after him).

26...C(8,8)

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I've just seen the new thread. Maybe it will eventually become a location for discussion concerning more general questions on the subject of piece values.

27. B(5,7)+

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27...K(7,6)

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28. B(10,9)+

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28...G(8,7)

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29. N(6,3)

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29...(6,6)

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