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chess-The Oxford Companion to Chess - First Edition by David Hooper & Kenneth Whyld

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76 CONJUGATE SOUARES<br />

A-r, in thn case representine low asNanss, b1<br />

orb3 = h6orb8. (Two unmarked pairs, c7=e7and<br />

c8=e8, are noi.elevant <strong>to</strong> theplay.) While wanls<br />

10 play K d4 threatening e4 c5,orK-e3threal'<br />

ening K i4, and eithcr would Mn unless Bl.c[<br />

muld rcply immediately... KI6z or... Kg5z<br />

rcspcdively. Thtrs the pans G=g and I(:[ arc<br />

identified. By exlension oulwards all the otner<br />

pairs can be found. For cxanple, if White plays<br />

Kd3 gaining a@ess <strong>to</strong> both d4 d e3, Black needs<br />

<strong>to</strong> reply . . . Kg6z <strong>to</strong> gain acess <strong>to</strong> 16 and c5; ttus<br />

(L3=g6. Bla.k <strong>to</strong> play oulddraw<strong>by</strong> L . . KgTor<br />

I . . Kh7 onrinuing 2 Kb2 Kg8z or Kh6z, or<br />

2 Kb1 Kg6z. Holdins the delensive (nregulao<br />

opposnion. hc can alNays Place whitc in ztrgflang.<br />

White ro play *iN in the same way thal he<br />

wonld win if he held the regnlar opposition: he<br />

holds Bl.ck in zuczwang uniil he can oudank<br />

successfully. _fhc key is 1 Kblz. Two variations<br />

follow: 1 . . Kg7 2 Kciz KS6 3 Kdlz Kg5 4<br />

K.2 (ouina.king) 4...Kn6 5Kd22(h5 6Kc3<br />

(oudanrjng) 6...Kgs 7 Kc4 (oudantins) 7<br />

...Kg6 8Kd3zi 1...KhS 2Kb2z(C8 3(b3z<br />

Kh8 a Kc4 (outflanking) 4...K97 5Kc3zrr<br />

6 Kd2 (outflankina) 6... Kf6 7 Ke2<br />

(oudanking) 7...Kg6 8 Kd3z.<br />

I-ocockt study, the frrst ot its kind, made no<br />

immediate inpact. hsER noted it, and in 1901,<br />

airer winning the world ch<strong>amp</strong>ionship a.d a few<br />

naior loumaments, he constructed a oniugate<br />

sqrare study shich attracted wide inlerest Many<br />

such sludies folloped. In the 192G and 1930s<br />

attempts were nade <strong>to</strong> establkh a conprehemive<br />

classilication oI rhe nany pafterns thal are Po$ible<br />

in conjqatc square positions. Tle results Nere<br />

unconvincing. For exanPle. rhe Li.ock stndy is<br />

supposed <strong>to</strong> sbow the eighr-square synen'<br />

because tbe squarcs .4d4,c3,d3,e3,c2,d2, and e2<br />

arc pairedmi.roFlashion witheighl squarcs on the<br />

other side of the diagonal axh h2 b8. This is a.-<br />

interestina obseNalion, but il accounls lor lewer<br />

than halfthc conjusate pairs. To undestand a se1<br />

of such pairs those that occur when lhe kings are<br />

close roge ther should be di scovc red , a.d Lon this<br />

slarting poinl other pais can be derived.<br />

tr&, xa<br />

7e % 7"&.<br />

tw vg&<br />

%%w<br />

'7& Tlgr<br />

A studv b; MANDTR. wii',, s chochzeitunp. Ts24,<br />

a rare;x;mple oI dnjugate squares ocuPied <strong>by</strong><br />

picces other than kings. <strong>The</strong> kniSht and bishop<br />

6ghl a duel while rhe kin8s and pasns sta.d <strong>by</strong>. For<br />

Black's knight there are 6ve key dark squares, b2<br />

andc5 which gi,c checkmale, e5,95, and i2 when<br />

nate cannot be preve.ted. <strong>The</strong> approach <strong>to</strong> these<br />

is <strong>by</strong> way of 15 light squares, b?, d7, tf , h7, e6, 96,<br />

c,l. e,l,94, b3, d3. fJ, h3, dl, or hl, and the bishop<br />

musl prevent lhe knight lron reaching any on. oi<br />

them. ztrgnangs anse becalse the bishop may be<br />

ablc io defend lrof onlyone squa.e, e.g. with Nl6<br />

wlire needs his bishop on f5, and he annot lole<br />

the nove snouH ii be his turn <strong>to</strong> play.Inherently,<br />

the posirio. cont.i6 36 zugzsangs. <strong>The</strong>e are<br />

irrelevant <strong>to</strong> the solution (Nd8:Bd5. Nl8=8f5,<br />

Na5-Bd5) and 1wo a.e umecessary: whitc may<br />

rcpl! r..<br />

Ng7 <strong>by</strong>Bf5 nol Bdlz. and may repl) <strong>to</strong><br />

Nal hy plaJants hi5 bi\h.p <strong>to</strong> the , 88 didBona)<br />

instead oI Bdtz. For , posnions ot the knighl<br />

White can detend only <strong>by</strong> setting up zugaangs:<br />

Nc8=8I, or Bt:<br />

Ng8=8g6 or Bg4<br />

Ne7=Bh5<br />

Nd6=Bd5<br />

Nf6:Bf5<br />

Nd5=88'1<br />

Nf5=BB<br />

Nd4:Bd5<br />

NI4-B15<br />

Nc3=Be2<br />

Ng3=Bd5<br />

Nc2=BB or B.4<br />

Nd2=Bd5<br />

Ne2=Be6<br />

NC2=Bg4<br />

Ng1=Bg4<br />

Nfl=BB<br />

While <strong>to</strong> play draws <strong>by</strong> I Bh5z alter which he can<br />

always hold Black in zu8dang.<br />

<strong>The</strong> inlomation about conjugate squares .on<br />

rained io standard endgane books is sufficient for<br />

nost pra.tical puposes. Among speoalisl boots<br />

ire Rinaldo Bianchetti. Co"ri bu<strong>to</strong> alla Teoria del<br />

Finole di Soli Pedoni (1,925)t DU.H&. and Il8lr<br />

sr^Dr, L'Oppasition et les cdes coniuge^ sont<br />

ftconcilii* (1932); aad Waltet Bibt. Opposition<br />

u Krnbche Fel.l.t in Boumendspiet (1936).<br />

CONNECTED PAlvN, a pawn thal can guard or be<br />

gudded <strong>by</strong> a pawn o. a. adjoining nle. theternis<br />

tsenerall, used i0 rhepluralL.dehne a groupuflNo<br />

or more sucb pawn(. such a Eroup may include<br />

doubledpawns: for ex<strong>amp</strong>le, after 1 e4 c6 2 d,{

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