py_20250408

1 - serial self stalemate 13= madrasi equihopper

Heinonen, U.
2000

white EQg8 Qh8 Kc8 Pb7d7e7f7h7 Re1 Sd4 black EQa8c6e4g2h1h2 Kd2 Pf2 Sg3 Bh4

ser-s=13(10+10)
🩈g8 🩉a8, c6, e4, g2, h1, h2: Equihopper

: two opposing units of the same kind that "observe" each other are paralysed

: moves using a centre of symmetry which is an occupied square on the board

Solution

{

} 1.e7-e8=S ! {(deparalyzing Eq g8)} 2.WEg8-e6 3.f7-f8=R ! 4.Rf8-f4 {
Eq e6 & g2 paralyse each other, so that 8 Be5 will no longer be a self-check.
} 5.Sd4-f5 6.Qh8-a1 7.h7-h8=B ! 8.Bh8-e5 {
Eq e6 & e4 paralyse each other.
(} 9.d7-d8=Q + ? {)
} 9.Se8-d6 {Is no more a self-check by Eq e4. And Eq e6 & c6 paralyse each other.
} 10.d7-d8=Q ! 11.Qd8-c7 {Is no more a self-check by Eq c6. And Eq a8 & e6 paralyse each other.
} 12.b7-b8=WE ! {Is no more a self-check by Eq a8. And Eq b8 & h2 paralyse each other.
} 13.Qa1-d1 + f2*e1=Q {stalemate.
A Qc7 move would be a self-check by Eq a8, currently paralysed by Eq e6.
A Nd6 move would be a self-check by Eq c6, currently paralysed in the same way.
A Be5 move would be a self-check by Eq e4, currently paralysed in the same way.
A Rf4 move would be a self-check by Eq g2 (sautoir e5), currently paralysed in the same way.
Eq h1 controls b7 & d7.

Super AUW.}

2 - h=2 polo b) Qa2

Bonavoglia, M.
1989

white Qa1 Ph2 black Ke4

h=2 polo(2+1)
b) Qa2

: if a unit plays in contact with other opposing units, the latter disappear.
Black King is in check, as Qd4 and Qe5 would make it disappear..

Solution

{

} a) {
} 1.Ke4-f3 ! {Only legal move.} Qa1-a6 + ! 2.Kf3-f4 Qa6-a2 ! {stalemate
Note that on} 1...Qa1-e1 ? 2.Kf3-f2[-e1] {and Queen disappears
} 1...Qa1-c1 # ? {checkmate
} 1...Qa1-a5 ? 2.Kf3-g2[-h2] {or} 2.Kf3-g3[-h2] {
Note also that} 2.Kf3-g4 ? {is illegal : } h2-h3[-g4] {

} b) wQa1-->a2 {Qa2
} 1.Ke4-f4 ! {(only legal move)} Qa2-a3 + ! 2.Kf4-f5 Qa3-a7 ! {stalemate}

3 - h#2 a) superguards b) patrol

Vieira, R.
2024

white Se8e5 Pf5g5h4h3e3 Kg1 black Ph5f7g3f3a5a3 Kf4 Ra4b4 Bg2

h#2(8+10)
a) SuperGuards
b) Patrol

: A unit "observed" by a unit of its side is not capturable

: a unit can only capture if, on its starting square, it is "observed" by a unit of its side

Solution

{

} a) {SuperGuards
} 1.Bg2*h3 Se8-d6 2.Bh3-g4 Se5-c4 # {
This is mate because 3...Rxc4 is illegal as the Knight is "observed" by Nd6.

} b) {Patrol
} 1.Bg2-f1 Se8-f6 2.Bf1-c4 Se5-g4 # {
because the unsupported Black King cannot capture f5 or g5 ;
and e4 & e5 are unavailable, as the white knights are supported.

Changed play on c4 & g4.}

4 - h#2 2 sol functionaries

Manikumar, S.
2024

white Bb3 Ke1 Pc7 black Ka1 Pc2 Qd7

h#2 2sol. functionaries(3+3)

: a unit can only move (and a fortiori capture) if it is "observed" by an opposing unit

Solution

{

} 1.c2-c1=S c7-c8=Q 2.Sc1-d3 {(elsewhere Knight could take the Queen or move away)} Qc8-c1 # {
} 1.c2-c1=Q ? {does not check but prohibits 2 c8Q or c8R which would be a self-check} 1.c2-c1=B c7-c8=R 2.Bc1-b2 Rc8-c1 # {
} 1...c7-c8=Q ? 2.Bc1-b2 Qc8-c1 + 3.Bb2*c1 {ou} 3.Bb2-h8 {

AUW.
There are two mates on the c1 square, but they are completely different !}

5 - h#3 3 solutions kobul

Luce, S & Tritten P
2018

white Kd5 black Sd6 Be8 Rh6 Qh2 Kh3 Pa6

h#3 3sol. Kobul(1+6)

: When a piece is captured, the King of its side adopts its moving mode
When a pawn is captured, it regains its royal march.

Solution

{

} 1.Rh6-e6 Kd5*e6[h3=rR] 2.rRh3-h8 Ke6-f6 3.Qh2-h5 Kf6-g7 # {

} 1.Be8-c6 + Kd5*c6[h3=rB] 2.rBh3-c8 Kc6-b6 {(tempo)} 3.Rh6-e6 Kb6-c7 # {

} 1.Sd6-e4 Kd5*e4[h3=rS] 2.rSh3-g1 Ke4-e3 3.Qh2-h3 + Ke3-f2 # {

}

6 - h#3 2 solutions Absorption chess

Luce, S & Tritten P
2020

white Pe2 Kd3 black Pf2 Kd5 Sb3

h#3 Absorption(2+3)
2 solutions

: a capturing unit acquires the captured unit's march, while retaining its own.

Solution

{

} 1.f2-f1=R ! e2-e3 2.Rf1-f4 e3*f4 {(absorbing Rook march} 3.Sb3-d4 f4*d4 # {
The pawn keeps its march, but also has the march of a Rook and a Knight. He therefore controls the 6 squares of the royal field not controlled by the white king..

} 1.f2-f1=Q Kd3-c2 2.Qf1-f3 e2*f3 + {: the pawn has absorbed the Queen's march
} 3.Kd5-c4 f3*b3 # {then the Knight

Diagonal-orthogonal Echo.}

7 - 2# Circe Alsatian mirror

Rosner, E.
2019

white Pf4e4d3c5 Se3f2 Rg2a2 Kb1 black Bc8 Pa7b7c6d7e7f6g7h7 Se6 Qg5 Ke1

#2 Alsatian mirror(9+12)

: a captured unit is reborn where an opposing unit of the same type would be reborn.
: position after rebirth must be legal in normal chess

Solution

{

Essai :
} 1.Sf2-g4 ? Qg5*g4[+wSg8] ! 2.Rg2-e2 + Qg4*e2[+wRa8] {legal : bxNc7xRb8=wR

} 1.d3-d4 ! {(threatens} 2.Sf2-d3 # {)
} 1...Se6*c5[+wPc7] 2.Ra2-e2 # {
(} 2...Ke1*e2[+wRa8] ? {illegal because the resulting position is :
a promotion on b8 implies 4 white captures while bRh8 and bBf8 are out of action.
} 2.Rg2-g1 + ? Qg5*g1[+wRh8] {legal)
} 1...Se6*f4[+wPf7] 2.Rg2-g1 # 2...Qg5*g1[+wRh8] ? {illegal because the resulting position is :
a promotion on f8 implies 3 white captures while bRa8 and bBf8 are out of action
} 2.Ra2-e2 + ? Ke1*e2[+wRa8] {legal}

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