py_20230627

1 - 2# avec Schizophrenic Queen

Formanek, B.
1973

white Kc5 Qd5 black Ka7

#2(2+1)
d5: Schizophrenic Queen

Schizophrenic Queen The Queen has a dual personality (Rook + Bishop) which can be divided

Solution

{

} 1.Qd5-d8[+wRd8][+wBd5] Ka7-a6 2.Rd8-a8 #

2 - helpmate 2# 2 sol carousel

Formanek, B.
1966

white Gc6 Kd7 black Pe5g7 Qg6 Kh7

h#2 carousel 2sol.(2+4)

carousel Instead of playing a move, you can exchange the nature of a piece with one of your opponent's..

Solution

{

} 1.Kh7-g8 Gc6-e8 2.Qg6-h7 Kd7-d7[+wQe8][+bGh7] # {

} 1.Kh7-h7[+wQc6][+bGg6] Qc6-f3 2.Gg6-g8 Qf3-h5 #

3 - 2# upside down

Formanek, B.
1973

white Ga8 Pf2 Kc2 black Ga7 Pa2f6 Ka1

#2 upside down(3+4)

upside down instead of making a move, you can reverse a piece

Solution

{

} 1.Kc2-c2[+wQa8] ! {
} 1...f6-f5 2.Qa8-h8 {
} 1...Ga7-g1 2.Kc2-c2[+wGa8] # ! {
} 1...Ka1-a1[+bQa7] 2.Qa8-h1 #

4 - 1#

Formanek, B.
1979

white Kg6 Bh7h6 black Kh8

#1(3+1)

Solution

{

} 1.Bh6-g7 # ? {doesn't go, position being illegal, White to move (no last move possible for the Black King).
This can only be done on a cylindrical chessboard (last move ...Ka7-h8 or ...Ka8-h8).
So, no } 1.Bh6-g7 + ? Kh8-a7 ! {
but } 1.Bh6-e3 # ! {

BF had presented in the first part the symmetry with respect to the large black diagonal (Kf7, Bf8 & g8 / Kh8).
So 1 Bg7#! is correct (last moves g7-g8B+ Kh7-h8).}

5 - selfmate 2# sat with royal Grasshoppers

Turner, N.
2018

white Sf5c4 Pc7a7b3 Rd8 white Royal WGe4 black Ph5g4g3d3 Sf4b1 Ra8b2 Bc2 black Royal BGb4

s#2 SAT(7+10)
🨟e4, 🨥b4: royal Grasshopper

a king is in check when it can play on a square where it is not in check in the traditional sense.
The side in check must immediately deny itself this escape square (without giving another one!).
Nc4 is pinned: if he played, the wK would have access to a4.
The Royal Grasshopper e4 does not have the "free square" b4, as this would be a self-check (free squares d4 and b2).

To understand SAT properly, we can sum it up by saying that the aim is not to capture the opponent's King but, on the contrary, to give him squares.
It is indeed very disturbing!
by K. Seetharaman in "the Problemist": "In SAT, a king or royal unit is in check if it has a flight.
Threatening to capture a king is ignored since it is not permitted.
When the opposing side creates a flight for the king, the defending side must immediately block the flight or move to a safe square from where there are no flights.
Inability to do so is mate."

Solution

{

} 1.Sf5-g7 ! {(threatens} 2.Rd8-d6 + Sf4-e6 # {)
} 1...Rb2-a2 2.Sc4-b2 + Ra2*b2 # {the wK cannot remove his access to a4, nor play there: he would still have c4 free.
} 1...Ra8*a7 2.Sc4-b6 + Ra7-b7 # {(if} 3.rWGe4-a8 {, c6 & e8 are still free)
} 1...Bc2*b3 2.Sc4-d6 + Bb3-e6 # {(if} 3.rWGe4-c2 {or} 3.rWGe4*g4 {, there is still e4 free
} 1...Sb1-c3 2.Sc4-d2 + Sc3-e2 # {

} 1...Ra8*d8 ? {illegal: the bK would escape on d4} 2...rBGb4-d4 {
} 1...Sf4-h3 ? {(or elsewhere) would mate, with the white King having h4 and possibly h6 later on.
} 1...h5-h4 ? {would also mate because of } 2.rWGe4*g4 {followed by } 3.rWGg4-g8 {or} 3.rWGg4-e4

6 - 2# with roses

Bienabe, A.
1994

white Pg2e2d4b6 Rb3 Kc4 Bh2 ROg7f7f8b4 black Bh5 Pf3c2b7e5f5g6h7 Kf1 Rg3c1

#2(4+4)
g7, f7, f8, b4: Roses

The Rose moves on an octagon (not regular, but harmonious),
where each side is a Knight step.
󼎜g7 defends the e2 pawn via e8-c7-b5-c3.
󼎜b4 défends the g2 pawn via d5-f4.
󼎜f8 controls square f2 via d7-c5-d3.
A move by the White King makes a discover check by the Rose f7, even after the key.

Solution

{

Tries :
} 1.Kc4-c5 + ? Kf1-f2 ! {
} 1.Kc4-d3 + ? Kf1-f2 ! {
} 1.Kc4-d5 + ? Kf1*g2 ! {
} 1.Kc4-b5 + ? Kf1*e2 ! {
} 1.Kc4-c3 + ? Kf1*e2 ! {

} 1.ROf7-h6 ! {threatens} 2.ROh6-e3 # {)
} 1...f3*g2 2.Kc4-d5 # {
} 1...f3*e2 2.Kc4-b5 # {
} 1...e5*d4 2.Kc4*d4 # {
} 1...f3-f2 2.Kc4-c5 # {
} 1...Bh5-g4 2.ROg7*g3 # {
} 1...Rg3-g4 2.Rb3*f3 #

7 - 2# with camels

Caillaud, M & Loustau JM
2016

white Sb7f8f3 Ba2 Rd2c8h5 Kh7 CAc6d1 black Rd4e6 Kd5 Pf7g6h6e5 Qh4 Sg1c4 Bb5

#2(10+11)
🨷c6, d1: Camels

Bouncer (1,3) (as a reminder, the Knight is a bouncer (1,2))

Solution

{

Tries :
} 1.CAc6-f5 ? {(threatens} 2.Rc8-c5 # {)} 1...Qh4-e7 ! {
(Rh5 no longer pins Pe5 and therefore} 2.Rd1*d4 + e5*d4 {)
} 1...Bb5-c6 2.Ba2*c4 # {or} 1...Re6-c6 2.CAf5-e8 # {
} 1.CAc6-d3 ? {(threatens} 2.Rc8-c5 # {)} 1...Bb5-c6 ! {
(Rd2 no longer pins Rd4 and therefore} 2.Ba2*c4 + Rd4*c4 {)
} 1...Qh4-e7 2.CAd3-g4 # {or} 1...Re6-c6 2.Rh5*e5 # {
} 1.CAc6-b3 ? {(threatens} 2.Rc8-c5 # {)} 1...Re6-c6 ! {
(Ba2 no longer pins Nc4 and therefore} 2.Rh5*e5 + Sc4*e5 {)
} 1...Qh4-e7 2.Rd2*d4 # {or} 1...Bb5-c6 2.CAb3-a6 # {

} 1.CAc6*f7 ! {(threatens} 2.Rc8-c5 # {)
} 1...Bb5-c6 2.Ba2*c4 # {
} 1...Re6-c6 2.Rh5*e5 # {
} 1...Qh4-e7 2.Rd2*d4 # {
}

8 - helpmate 2# 2 solution with bulgarian lion, pao, vao

Petkov, P.
2020

white PAf5 VAf4 Se5 Pe2 Kf1 black LIb2 Pd4e3 Rb8 Ke4

h#2 2sol.(5+5)
🨵f5: bulgarian Pao
🨶f4: bulgarian Vao
🨺b2: bulgarian Lion

bulgarian Bulgarian pieces can only be played if the sautoir can make an imitative move without a capture..
For the Pao & Vao, this applies to captures, the other moves being normal since they only use a sautoir to capture.

Solution

{

} 1.Rb8-b3 VAf4-h2 2.LIb2-b5[-b3][+bRg3] {: Rook make a Lion move
} 2...PAf5*b5[-e5][+wSc5] # {: Knight make a Pao move.

} 1.Rb8-b5 PAf5-h5 2.LIb2-b8[-b5][+bRg5] {: anew a Lion move
} 2...VAf4*b8[-e5][+wSd6] # {: Knight make a Vao move} {
}

9 - helpmate 2# with neutral pawns

Pachl, F & Mueller D
2019

neutral Pf2a7 white Ke4 black Rg1 Ph3 Kh2

h#2(5+5)
b) ♔e4-->e3
🨅f2, a7: neutral Pawns

neutral pawns can be played by a side or the other.
Note that a neutral pawn promote in neutral piece

Solution

{

} a) {
} 1.nPf2-f1=nQ nPa7-a8=nR 2.nRa8-h8 nQf1*h3 # {

} b) wKe4-->e3 {Ke4-->e3
} 1.Kh2-g2 Ke3-e2 2.nPf2-f1=nS nPa7-a8=nB # {

AUW} {
}

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