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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
: white plays and black collaborate until the last move
where white forces black to checkmate in 1 move.
: after a take ("take"), the captured piece is required to make a complementary move ("make")
without taking with the moving way of the captured piece (a kind of posthumous tribute)
white Pe3 Be7 Rh6 Kb1
black Pg7f4g2e2 Bf1d2 Rg8g3 Ke1
h#2 infra-functionary(4+9)Anti-circeb) ♚e1-->d1
: the captured piece is reborn on its original square if it is free, otherwise the capture is illegal.
: In infra-functionary (foolishly called " defiant ", which means nothing,
by the adepts of the political-speak, whereas "infra-functionary" imposes itself as logically symmetrical of "ultra-patrol")
one can play a unit without condition, it is only to capture that one must be observed by an enemy unit.
{}
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)
: A bit difficult to visualize, but roughly one can go from a to h by going left
and from 1 to 8 by going down!
You can also place 8 chessboards around the main chessboard
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