py_20190430
Click in the right part of the chessboard to move forward, left to move backward... or directly on the move in the solution
1 - h#3 2 solutions take & make
Crisan, V & Balasubramanian2017
white Pa2b2a4 Ka3 Bd6 Sb5c2 Re3
black Rb4c5 Sd4 Bb3d3 Kh6 Ph5h7g7
hs#3 Take & Make(8+9)2 solutions
{}
1.Sc2*d4-f5 + Bd3*f5-e7 2.Bd6*c5-c1 Rb4*b5-d6 3.Re3*b3-e6 + Rd6*e6-e3 # {}
1.Sb5*d4-f5 + Rc5*f5-g3 2.Re3*d3-a6 Bb3*c2-e3 3.Bd6*b4-f4 + Be3*f4-d6 #
2 - h#2 infra-functionary anti-circe
Tritten, P.2008
white Pe3 Be7 Rh6 Kb1
black Pg7f4g2e2 Bf1d2 Rg8g3 Ke1
h#2 infra-functionary(4+9)Anti-circeb) ♚e1-->d1
{}
a){}
1.Bd2-b4 ! Be7-h4 2.Rg3*e3-h8 Rh6-d6 # !
{If the bB had not landed on b4, the bK could come out of the "d" file.
The "discovery" Rh6-d6 makes it so that, thanks to Rh8, the wB checks..
And it's checkmate, because the said Rh8, not being "functionalised", cannot capture the Bishop .
and moreover, Rg8 prevents an escape from it on the 8th rank.}
b) bKe1-->d1 {Re1->d1}
1.Rg3-g4 ! Rh6-d6 ! 2.Bd2*e3-f8 Be7-h4 # ! {: wR & wB are "functionarized"}
3 - h=4 toric chessboard
Mintz, Y.2019
white Pd7f6 Kd4
black Ph7g2d2 Kc6
h=4 toric chessboard(3+4)
{}
1.g2-g1=R ! {(a Queen would check)} f6-f7 2.Rg1-g8 f7*g8=Q 3.d2-d1=B ! {(same remark: a Queen would check)}
Qg8*h7 4.Bd1-c8 d7*c8=S {model stalemate and mirror (wQ controls b5 via a6).
AUW. Wouldn't vertical (or horizontal) cylinder be enough ?}
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