: A Quintessence is a Nightrider that bifurcates 90 degrees each time it moves..
QNa2 can move on c3, b5, d6 & c8 but not e4 because she has to get away
as well as on c3 and d1 (but no further because of the pf2) and on c1 and d3 (same remark)..
{}
1...nQNa2-c3 2.nQNc3-b1 e2-e4 + {(discover check by Qnb1 via c3-e2-f4)}
3.nRc6-c3 g3-g4 # {(bR being ipso facto pinned. 3...Qnd2-c4-e5 legal but -f3 illegal.)}
1...nRc6-c3 2.nRc3-b3 {(the neutral Rook moves as a Black Rook and therefore cannot capture a3) }
g3-g4 + 3.nQNa2-c3 e2-e4 # {(via e2-f4)
The 1st white move and the 2nd black move are interchanged from one solution to the other.
The same applies to the 2nd and 3rd white moves.
Interchanging them in each solution would lead to an self-check on the 2nd black move..}
3 - 3# mars circé
Geister, A & Papack D2019
white Kh2 Rg4f1 Pg3f2e3 Qf3 Bg1a2 Sf6
black Kh3 Ph4d6b6d3g5 Rg2g8 Bg7b5 Sc8 Qc5
#3 mars circe(10+12)
: pieces move normally
except for capturing where they virtually pass through their native square which must, in this context, be free
{}
1.Rg4-a4 ! {(threatens} 2.g3-g4 ! {(no check) and} 3.Kh2-g3 # !! {
"mat"discover" mate by Rf1 or Ra4 via h1 as} 3...Rg2-h2 {is impossible
: self-check by Pg4 via g2 (in picture } 4.g4*h3 {).}
1...Sc8-e7 {(counter the threat by enabling on} 2.g3-g4 {the move} 2...Bb5*g4 {(via c8)} 3.Kh2-g3 Rg2-h2 !!
{}
2.Rf1-e1 {!!(threatens} 3.Ba2*g2 # {(via f1))} 2...d3-d2 3.Bg1*d2 # {(via c1)
by Nf6 (via g1), taking advantage of the fact that ...Qc5xf6 via d8 is no longer possible and }
3.Ba2*g2 + ? Bb5-f1 ! {)
Note that on the other moves of Rf1, Black has an appropriate reply :}
2.Rf1-d1 ? Kh3-g4 ! {Qf3 cannot move through d1}
2.Rf1-c1 ? d3-d2 ! {and Bg1xd2 (via c1) (which would check by Nf6 via g1) is impossible) }
2.Rf1-b1 ? Qc5-c1 ! {and on } 3.Ba2*g2 + {we have } Qc1-f1 ! {}
1...g5-g4 2.Rf1-d1 {!!(threatens} 3.Ba2*g2 #
{taking advantage of the fact that Kg4 is no longer possible)}
2...d3-d2 3.Kh2*d2 # {via e1.
Black King is threatened by both Ra4 and Rd1
Other moves of Rf1 :}
2.Rf1-e1 ? d3-d2 ! {}
2.Rf1-c1 ? d3-d2 ! {and on } 3.Kh2*d2 {(unmasking Ra4)} Rg8*a4 ! {}
2.Rf1-b1 ? Qc5-c1 ! {}
1...Sc8-a7 2.Rf1-c1 {!!(threatens} 3.Ba2*g2 # {)}
2...d3-d2 3.Kh2*d2 # {taking advantage of the fact that Ra4 is not capturable by Rg8}
2.Rf1-b1 ? Qc5-c1 ! {)}
1...Qc5-e5 2.Rf1-b1 {!!(Qc5-c1 is no longer possible and with the same threat}
3.Ba2*g2 # {)}
2...d3-d2 3.Kh2*d2 # {}
2.Rf1-a1 ? 2...d3-d2 3.Kh2*d2 Rg8*a4 ! }
2.g3-g4 ? Qe5-g3 ! {preventing 3 Kg3!!#}
2.Rf1-d1 ? Kh3-g4 !
{
'It took me a long time to understand why, in each of the 4 variants,
the Rook has to come here and not somewhere else' says one commentator.
He is not the only one !}
4 - maximum s#6 einstein (Version K. Widlert.)
Frankiss, Ch2019
white Sb6g2c2 Kh5 Pg6f5
black Pe7g7h6 Kf8 Sg8
s#6 maximum einstein(6+5)
: pieces move up or down in the hierarchy depending on whether or not they capture
p-N-B-R-Q in the case of capture and the opposite Q-R-B-N-p in the case of non-capture.
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