py_20260303

1 - 2# anti-circe with rose-lion

Caillaud, M.
2022

white RNb2 Kc7 Bd7 Re8 Pg5g3e4d4 Sc1 black ROe2 Pd6c2 Sg1a1 Ke5

#2 Anti-Circe(12+7)
󼎜b2, 󼎝e2: Rose-Lion

: After capturing, the capturing unit is teleported back to its original square if it is free.
Otherwise, the capture is illegal.
: Move as a but with a sautoir on the way

Solution

{

} 1.Sc1*e2[wSe2->b1] + ? but 1...Sg1-e2 ! {
} 1.RNb2-a4 ? {(via d1-f2-g4-f6-d7-b6)} 1...Sg1-f3 ! 2.Sc1*e2[wSe2->b1] + Sf3*d4[bSd4->b8] ! {
} 1.Re8-b8 ? d6-d5 ! {(but not } 1...Sg1-f3 2.Sc1*e2[wSe2->b1] # {because Nxd4 is impossible) and on} 1...d6-d5 ! 2.Kc7-d6 + {is illegal} Ke5*d6[bKd6->e8] {

} 1.Sc1-d3 ! {
} 1...c2-c1=Q + 2.Re8-d8 # {
} 1...c2-c1=R + 2.Re8-h8 # {
} 1...c2-c1=B 2.Re8-f8 # {
} 1...c2-c1=S 2.Re8-g8 # {
} 1...c2-c1=RO + 2.Re8-e6 # {
super AUW
} 1...d6-d5 2.Kc7-d6 # {
Nf3 or Nh3 illegal (rebirth on g1 after 2 Nxe5).}

2 - h#2 2 solution take & make

Balasubramanian, SK
Tritten, P., Crisan, V.
2014

white Pc3f3g3 Sd3 Kd1 Rh3 black Qa8 Rc6g8 Bg6d4 Pf6a4h4 Kb3 Sc1

h#2 Take&Make(9+10)
2 solutions

: After a capture, tribute must be paid to the captured unit by performing a movement without capture with the march of that unit.

Solution

{

} 1.Bg6*d3-b4 c3*d4-b2 2.Rg8*g3-g4 f3*g4-g8=B # {
A Queen promotion} 2...f3*g4-g8=Q {would allow} 3.Qa8*g8-g3 {.
And} 3.Kb3*b2-b3 {is illegal.
Note that square b4 is occupied, which prevents Kxb2-b4.

} 1.Rc6*c3-c4 Sd3*c1-a2 2.Qa8*f3-f4 g3*f4-b8=R # {
A Queen promotion} 2...g3*f4-b8=Q {would allow} 3.Rg8*b8-g3 {;
and} 3.Kb3*a2-b4 {(or c3 or c1) is illegal}

3 - serial s#10 mirror circe

Armeni, A.
2020

white Pe7f2 Kg1 black Pa5b6d7g6e5d3c3a3 Bg7h1 Sh5e1 Rf4 Qc4 Kc2

ser-s#10 mirror Circe(3+15)

(Maléfique) : The captured unit is reborn in the corresponding rebirth square of the capturing side.
For example, black Bishop on g7 will be reborn as if it were white, therefore on c1.}

Solution

{

} 1.e7-e8=S 2.Se8*g7[+bBc1] {
} 3.Sg7*h5[+bSb1] 4.Sh5*f4[+bRa1] {
} 5.Sf4*g6[+bPg2] 6.Sg6*e5[+bPe2] {
} 7.Se5*d7[+bPd2] 8.Sd7*b6[+bPb2] {
} 9.Sb6*c4[+bQd1] 10.Sc4*a5[+bPa2] Se1-f3 #

4 - 2# masand

Gockel, H.
2019

white Ra8c3 Pa7g7d6d4d3b5 Se8f8 Qc4 Ka4 Ba2 black Ph6e6e5 Rh5 Kf7 Sa5 Bg8

#2 masand(13+7)

: All units directly observed by the one that checks change colour.
Except, of course, the King.

Solution

{

} 1.Qc4-c7[c3=b] + ? Rc3*c7 ! {
} 1.Qc4*e6[a2=b][e8=b][h6=w] + ? Ba2*e6 ! {
} 1.Rc3-b3 ? {(threatens} 2.Qc4-c7[a5=w][d6=b][a7=b] # {or} 2.Qc4*e6[b3=b][e5=w][d6=b][h6=w][e8=b] # {)} 1...Sa5*c4 ! {
} 1.Qc4-b4 ? {(threatens} 2.Rc3-c7[a7=b] # {or} 2.Ba2*e6 # {)} Sa5-c4 ! {
} 1.Qc4-c6 ? {(threatens} 2.Ba2*e6 # {)} Sa5-b3 ! {

} 1.Qc4-d5 ! {(threatens} 2.Rc3-c7[a7=b] # {and not} 2.Qd5-f3[a8=b][h5=w] + ? Kf7*e8 ! {)
} 1...Sa5-c4 2.Qd5*e6[c4=w][e5=w][d6=b][h6=w][e8=b] # {: Pg7 remains guarded
} 1...Sa5-c6 2.Qd5-f3[d3=b][h5=w][c6=w] # {
} 1...Bg8-h7 2.g7-g8=Q[h7=w][f8=b] # {
} 1...e6*d5 2.Rc3-c7 # {(} 2.Ba2*d5[a8=b] + ? Kf7*e8 ! {)}

5 - s#2 sat with royal Grasshopper

Turner, N.
2017

white Ra6 Bg7 Pe2 Sd1c4 white Royal Gf4 black Sc6 Bh8 Rh7 Ph4e3d2b3c7 black Royal Gc5

s#2 sat(6+9)

: A king is in check when it threatens to move to a square where it is not in check in the traditional sense.
It is mate if the King cannot avoid this ‘free’ square.
: move as a but with royal attributes

Solution

{

} 1.Sd1-c3 # ? {checkmates because it frees up square f2 and allows } 1...rGc5-f2 {with escape on f5
} {

} 1.Ra6-a5 ! {(threatens} 2.Sd1-c3 + rGc5-f2 # {
(possible because now f5 is protected, and it is checkmate because the white rG has an escape on f1
and if she plays in F1, she has an escape on d3,
if she plays on b8, she has an escape on b2)
The captures of Bg7 prevent ...rGf2 by forcing the escape d4.
} 1...Rh7*g7 2.Sc4-e5 + ! 2...rGc5-f5 # {:
The white rG has the f6 escape and cannot go there because it would have the h8 escape.
And not} 2.Sc4-d6 + ? Rg7-e7 ! {.
} 1...Bh8*g7 2.Sc4-d6 + Sc6-e7 # {:
The white rG has an escape on c7.
If Nd6 plays, it will have the escape b8.
Note that 2...rGe7 is illegal: escape to e2.

Novotny.
"Neal Turner's SAT problems are exceedingly interesting, perhaps because they take so much work to comprehend" (Geoff Foster).
"It was Juraj Lörinc who first suggested the idea of combining SAT with royal grasshoppers as a way to avoid the cumbersome positions often found using normal kings.
But I'm sure even he couldn't have foreseen the myriad dynamic possibilities created by this exciting new synthesis" (N. Turner).}

6 - h=4,5 set with play circe

Rittirsch, M.
2015

white Ba1 Ra7g3 Pc7d7g2f4e4 Kc8 black Pb2h2d4 Sf7g4 Kg7

h=4.5 Circe(9+6)
set play

: A captured unit respawns on its original square if it is free.
otherwise it disappears.

Solution

{

Set play :
} 2.b2-b1=Q d7-d8=Q 3.Qb1-b8 + c7*b8=Q 4.h2-h1=Q Qb8-b5 5.Qh1-h5 Qb5*h5 {stalemate

} 1...d7-d8=R 2.b2-b1=R Rd8-h8 3.Rb1-b8 + c7*b8=R 4.h2-h1=R Rb8-b6 5.Rh1-h6 Rb6*h6 {stalemate.

4 Q promotions and 4 R promotions
A circe without rebirth !}

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