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Now, we show here that the quality of the "control", exerted on the chessboard, is a decisive element to succeed in the domination. Remarks and considerations on this subject, constituting the present chapter, have been presented for the first time in 2002 («Courrier des échecs» 522, october 2002, p.289 to 294) In this second chapter dedicated of the study of "Control and Domination", we mainly examine, through two exemplary games, the evolution of White and Black Radiation Rates (RR), like its geometrical translation on corresponding cartographies of the chessboard.
We select now a chess game of the recent World Chess Championship Match: Topalov - Kramnick, where we will examine attentively the "evolution" of the "Radiation rate" of both players.
This line of the Semi-Slav is well known and was many often played since the game Esser, Johannes-Van Foreest, Arnold E 0-1 (D12), Amsterdam 1911.
DIAG 1
:
The cartography of this position is the following:
In this conditions we have the numerical values:
Of this values we immediately deduce the "Radiation rates":
WRR = 100 x 29
/ (64 - 4) % =
48 % In the present case these technical results have only a limited interest. They show however that each camp remains rather monolithic and, in addition, that the combat is not yet really engaged. But it is equally interesting to remark the strong influence of the Black Bishop g6 (red squares b1 and c2) and the resulting light Black domination.
9.g3!? seems to be a novelty. Has been explored: 9.h3 Be7 10.Bd3 0-0 11.0-0 e5 12.cxd5 cxd5 13. dxe5 Nxe5 14.Bb1 Rc8 = Finegold, Benjamin (2539) - Zaremba, Andrie (2342) 1-0 (D12) Philadelphia World op 2003.
It is rather clear that Kramnik created, since 13... b4!?, a strong pressure on white central pawns. But Topalov found a positional play which enables him to resist and gradually to arrive to a certaine initiative. The present position deserves our attention:
DIAG 2
:
Topalov reaches a good initiative. Was equally playable: 23.Kg2 Nb6 24.Nc5 Bxc5 25.Qxc5 Na4 26.Qc2 Qxb2 27.Rf2 Qxc2 28.Rxc2 c5!? 29.e5 Nd5 30.Ra1 Nac3 with a clear White advantage.
DIAG 3
:
Topalov obtains this time a dominant position of which we will examine carefully the characteristics:
DIAG 4
:
The cartography of this position is as follows:
In this conditions we have the numerical values:
Of this values we immediately deduce the "Radiation rates":
WRR = 100 x 32
/ (64 - 5) % = 54 % Kramnik is now on the defensive and, except fault of White, it will be difficult for him to find a valuable counterplay.
35...Nf8? is a very surprising fault. After: 35...Nd5 36.Rdf1 Rd7 37.c4 Nb6 38.Rd1 Qb7 the White advantage is not decisive and Black can continue the combat.
The stronger White retort was here: 39.Be6!! with the foreseeable continuation: 39...Kh8 40.Bg5 Ndf6 41.exf6 Rxf7 42.Bxf7 gxf6 43.Bf4 + - and White wins easily.
DIAG 5
:
The cartography of this final position is thus the following one:
In this "Cartography of the DIAG 5" it is instructive to note some examples. In particular the pinned Knight d5 does not control any square: In this case we have the numerical values:
Of this values we immediately deduce the "radiation coefficients":
WRR = 100 x 36
/ (64 - 5) % =
61 %
We select now an interesting correspondence chess game where we will examine attentively the "evolution" of the "Radiation rate" (RR).
This advance of the d-pawn is unquestionably the most popular answer facing the Caro-Kann. Nevertheless, interesting is the "two Knights variation" : 2.Nc3 d5 3.Nf3 played by Fischer against Petrossian in 1959, during the Candidats Tournament; Fischer expresses the idea that the move Bf5 is then doubtful.
An important crossroads of the Caro-Kann. In addition to the "advance variation" 3.e5 played here, you may choose the "exchange variation" 3.exd5 cxd5 or the classic answer 3.Nc3. More precisely we have the choice between:
A flexible answer leading to many lines:
More usual is the continuation: 4.Nf3 e6 5.Be2 c5 6.0-0 Nc6 7.Be3 cxd4 (Vogt, Lothar (2510) - Kasparov, Garry (2595) ½-½ (B12) Baku, 1980). Is now, in fact since 1981, rather popular the suite: 4.c3 e6 5.Be3 Nd7 (Galstian, Beniamin (2448) - Amini, Amer (2267) 1-0 (B12) IRI-chT Iran, 2005).
According to Giogaze this move meets less and less, in current practice. More popular is today: 6...c5 7.h4 h5!? 8.Nf4 +/= (Karpov, Anatholy (2715) - Ludin, A 1-0 (B12) Zuerich sim, 1998). May be also considered: 6...Ne7; for example: 7.Nf4 c5 8.h4 cxd4 9.Nb5 Nec6 10.h5 Be4 11.f3 Bxf3 12.Qxf3 Nxe5 13.Qg3 Nbc6 14.Nd3 Nxd3+ 15.Bxd3 e5= (Lautier, Joel (2630) - Karpov, Anatoly (2760) 0-1 (B12) Amber-Rapid 6th, 1997).
10.Bd2 was a novelty in 1994, played by our friend Gilles Hervet. Since, this move was seldom selected and we know only two or three examples; in particular: 10.Bd2 Qc7 11.0-0-0!? (Lukacs) 0-0-0 12.Re1 Bc5! (Lukacs: with the idea: Bd4) 13.h4 Bd4 14.Nd3 h5! (Lukacs) = (Nataf, Igor Alexandre (2559) - Najer, Evgeniy (2606) ½-½ (B12) EU-ch 4th Istambul, 2003).
DIAG 7
:
White has good prospects for attack on the King side, whereas Black does not have a clear counter play. The cartography of this position is as follows:
In this "Cartography of the DIAG 7" it is instructive to note some examples. In particular the pinned Knight d5 does not control any square: In this conditions we have the numerical values:
Of this values we immediately deduce the "Radiation rates":
WRR = 100 x 30
/ (64 - 6) % = 52 % Each camp remains rather monolithic and the combat is not yet really engaged. However the White game is already dominating. Notice that each side must watch over in particular the yellow squares located in its territory, which are vulnerable points.
DIAG 8
:
It is often an error, of the weakest camp, to believe that exchanges will relieve its position; here the white position is reinforced. One can add all the same that is not better: 16...g6 17.hxg6 (17.h6 Nb6 18.g5 Nc4) Bxg6 18.Kb1 Kb8 19.Be3 +/-. In clear Black does not have any more good prospects.
DIAG 9
:
22.Rd4 is a relatively flexible move, played with the idea to double the Rooks later on; but it is rather risked according to: 22...g5 23.hxg6 Bxg6 24.Bh3 c5! =.
DIAG 10
:
Obviously the White domination is particularly clear; however we judge useful to give a quantified estimate of this "domination" and, at the same time, a descriptive representation of this one. The "cartography of the DIAG 10" is as follows:
In this cartography we may notice some examples: In this conditions we have the numerical values:
Of this values we immediately deduce the "Radiation rates":
WRR = 100 x 32
/ (64 - 8) % = 57 % It is indeed an undeniable "domination". But, however it remains to transform it into victory.
The strongest continuation is certainly : 31.Qb4! Rg8 32.Rd6 Ka8 33.Bf1 (with the idea: Bc4) + -. Any way, White has a significant advantage.
DIAG 11
:
DIAG 12
:
This time the "White domination" is impressive and our technical results strengthen widely this opinion: The "cartography of the DIAG 12" is as follows:
In this cartography we may notice some examples: In this conditions we have the numerical values:
Of this values we immediately deduce the "Radiation rates":
WRR = 100 x 29
/ (64 - 14) % = 58 % In spite of a strong degradation of the Black situation, one can notice that the "Radiation rates" are near identical to those of the DIAG 10. Hence the "Cartography of the DIAG 12" contains some interesting informations not translated by the RR. The end of the game, completely foreseeable, proceeds as follows (the only interrogation is of knowing why Black does not resign earlier): 39.Bh7 Rg8 40.Bg6 Bxg6 41.Qxg6 Qb8 42.Qxg7! Qxf4+ 43.Kb1 Qf5+ 44.Ka1 Rd8 45.Qe7 Qg5? (Qa5) 46.Qxg5! hxg5 47.Re1! Kb8 48.Re8 1-0
DIAG 13
:
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