py_20200929
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1 - hs=6 3 solutions with sparrow and moose
Kotesovec, V.2019
white Kd4 SWe3
black Kf4 Me2e8
hs=6 3sol.(2+3)🨢e3: Sparrow🨺e2, e8: Moose
{}
1.SWe3-e4 Kf4-g4 2.Kd4-e3 Me2-h4 3.Ke3-f2 Me8-f3 4.Kf2-g2 Mf3-h2 5.Kg2-h1 Kg4-h3 6.SWe4-g3 + Kh3*g3
{=}
1.Kd4-d5 Kf4-g5 2.Kd5-e6 Me2-f4 3.Ke6-f7 Mf4-h5 4.Kf7-g8 Me8-h7 + 5.Kg8-h8 Kg5-h6 6.SWe3-g6 + Kh6*g6
{=}
1.SWe3-d7 Me8-d1 2.Kd4-c3 Kf4-e3 3.Kc3-c2 Me2-b1 4.Kc2-b2 Ke3-d2 5.Kb2-a1 Kd2-c1 6.SWd7-c2 + Kc1*c2
{=Triple echo.White King in 3 corners.}
2 - h#2 2 solutions symmetry point
Crisan, V.2019
white Royal Kc8
black Royal Ke3
white Rc4 Bf5
black Bh3h6 Qf1 Pa5g7 Sd5 Ra3c1
h#2 symmetry point(3+9)2 solutions
{}
1.Ra3-d6=K[+wBc4][+wRf5][+brRe3] {(Rook moves like Bh6)} rKc8-f8=rR {(the King moves like the Qf1 and now like the Rc1)}
2.rRe3-e6=rK[+bRd6] {(the King moves like Rd6; he is not in check in e6 for the
reason already reported)} Bc4-e2=R[+wBf5] # ! {(the Rook has moved like Bf5). both
white figures have recovered their moving way to administer a double chess.
The White King, moving like Rc1, controls the "f" column.}
1.Bh6-d6[+wBc4][+wRf5][+brBe3]
{(Bishop moves like Ra3)} rKc8-a6=rB {(the King moves like the Qf1 and now like the Bh3)} 2.rBe3-c5=rK {(the
King moves like Bd6; he is not in check in c5 for the reason already
reported)} Rf5-f2=B[+wRc4] # ! {(the Bishop has moved like the Rc4). The squares b5 & c4 are
controlled by the White King, who walks like the Bh3. Specific batteries
Rook-Bishop & Bishop-Rook. We could present the problem in twins, with
only the a5-pawn, then only the g7-pawn.}
3 - h#2,5 with AP reverse Boléro Kings Included
Petkov, P.2020
white Royal Kd1 Ra7
black Royal Pd6d3 Ke8 Bc3e4
h#2,5 reverse Boléro KI(2+5)apparent play
{Apparent play}
1.rBe4-h1=rR + {(checks since playing like a Rook for the captures)} rKd1*h1=rR
{(playing as a Queen)} 2.rBc3-h8=rR + rRh1*h8 # !
{real play} 1.rRa7-h7 !
{(1 Rg7? does not work, not only because the Black King could run away at the end on the 7th rank,
the Rook having, to capture, the Knight's march, but above all because this move is a check !)}
1...rBc3-a1=rR + {(checks, the Bishop playing like a Rook for the captures)}
2.rKd1*a1=rR {(moving like a Queen)} rBe4-a8=rR + 3. rRa1*a8 # !
{"Probably the first problem where the White King and the Black Bishops visit the 4 corners",
says the author.}
4 - h#2 2 solutions with hedgehogs
Joudon, L.1988
white Kh1 EHd1a2
black Pe7e5 Ke6 Bc5 Sd5
h#2 2sol.(3+5)🨊d1, a2: Hedgehog
{}
1.Bc5-d6 EHd1-b3 2.Sd5-f6 EHb3-h3 #
{}
1.Ke6-d6 EHa2-d2 2.Sd5-c7 EHd2-h6 #
{Diagonal-orthogonal echo.}
5 - h#2 2 solutions with Hedgehogs
Feather, Ch2012
white Pd2 Kg8 WHe4d4b5
black Pe2e7c4 Kd3 Ba2 BHc8d8h7h3
h#2 2sol.(5+9)
🨊e4, d4, b5, 🨐c8, d8, h3, h7: Hedgehog
{}
1.BHh7*e4 WHb5-a4 {(to control c2)} 2.BHc8-f5 {display-departure-file} {(intercepting the EHh3,
other moves checking the White King)} WHd4*d8 #
{}
1.BHd8*d4 WHb5-a5 {(to control d2)} 2.BHh3-d7 {display-departure-file} {(intercepting the EHc8)} WHe4*h7 #
{Reciprocal captures and interceptions.}
6 - h#2# 2 solutions anti-circe
Loerinc, J. & Dragoun M2010
white Pe7g6g5 Se1 Bd6h7 Kb2 Rg1f7
black Be3 Kf4 Qa7 Pf2e2g7g4b4 Sh2e5 Re8f6
h#2 Anti-circe 2sol.(9+12)
{}
1.f2*e1=Q[bQe1->d8] Kb2-a1 {(unpinning Rf6)} 2.Rf6*g6[bRg6->a8] Ka1-a2 #
{(} 2...Ka1-b2 + ? 3.Qa7-a1 !
{)}
1.f2*g1=B[bBg1->f8] Kb2-c1 {(unpinning Ne5)} 2.Se5*g6[bSg6->g8] Kc1-d2 #
{(} 2...Kc1-b2 + ? 3.Be3-c1 ! {)}
7 - h#2 3 solutions isardam anti-circe
Tritten, P.2012
white Pf7 Ka2
black Qd3 Pg4h5 Be7 Rg8 Kf5
h#2 3sol.(2+6)IsardamAnti-circe
{}
1.Rg8-g5 f7-f8=R + 2.Kf5-g6 Rf8-g8 # {threat Rxg6 (Rh1). Black may not play a piece in h1,
and on ...Kg7 Rxg7 (Ra1). The other king moves are forbidden by the condition isardam.
Note (see comment below) that without ph5, Rh5 would be a defence.}
1.Be7-h4 f7-f8=B 2.Kf5-g5 Bf8-e7 # {(threat Bxg5 (Bc1) and Black cannot occupy c1)}
1.Qd3-a6 + f7*g8=Q[wQg8->d1] {(prevents check because ...Qxa2 (Qd8) is not possible)} 2.Qa6-g6 Qd1-d3 #
{threat Qxf5(Qd1), not 3 Qc2+? Qd6! and rebirth in d1 is forbidden ;
now 3...Qd6 is impossible 3/4 of AUW.}
8 - 2# relegation chess
Paavilainen, J.2017
white Bg7h1 Kb5 Qe1 Pe6d2 Sa4d4 Re4
black Pb6e7f4e2b2a2 Sf6 Bb1c1 Kd3 Ra1
#2 relegation(9+11)
{}
1.Bh1-f3 ! {(blocus)}
1...Sf6-h5 {or}
1...Sf6-d5 {or}
1...Sf6-g4 {or}
1...Sf6-h7=P {or}
1...Sf6-g8 {or}
1...Sf6-e8 {or}
1...Sf6-d7=P
2.Re4*e2=P # {}
1...Sf6*e4
2.Bf3*e2=P # {}
1...Bc1*d2
2.Qe1*e2=P # {}
1...Bb1-c2
2.Sd4*e2=P # {Mats on the same square.}
9 - 2# anti-circe Cheylan
Gockel, H.2002
white Bh5 Kd5 Qc2 Pa2d6b6e7c3g2 Sb2 Rb7e4
black Qd1 Pd7a3d3e3e5 Kb3 Bc7h1 Sa4b1
#2 Anti-circe(12+11)
{Try :}
1.Sb2-c4 + ? 1...Sa4-b2 ! {}
1.Bh5-f7 ! {(threatening} 2.Kd5-c6 # {, and not} 2.Kd5-d4 + Kb3-b4 ! {)
A comical element of the position is that the Qd1 is nailed by the Qc2 !!
any movement of Qd1 authorises the capture of the King by Qc2.
And of course the Bishop, since f7 as well as since h5, is forbidden ...Kxc2-e8..
The thematic defences free c7, allowing on Kc6 the renaissance ...dxc6-c7.}
1...Bc7-b8
2.Kd5-c5 # {}
1...Bc7*d6[bBd6->f8]
2.Kd5-d6 # {}
1...Bc7*b6[bBb6->f8]
2.Kd5-d4 # {}
1...Bc7-d8
2.Kd5*e5[wKe5->e1] # {}
1...Qd1*c2[bQc2->d8]
2.e7*d8=Q[wQd8->d1] # {}
1...Sb1-d2
2.Sb2*d1[wSd1->b1] # {(} 2.Kd5-c6 ? Sd2-f1 ! {}
1...Sa4-c5
2.Sb2-a4 # {
Greek Cross of the White King and Cross of Saint Andrew of the Black Bishop.}
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