3 - 3# with zebras and camels
Zebra hopper 3-2
Chameau hopper 3-1
black Se1 Pg3a7b7d6d5e7h7 Zh4a5 CAc7 Kf6
white cad2 Rb3g7 Pg2e6h5h6 Bg1g4 Kh1 Sb8
#3(11+12)
h4, a5: Zebrasd2, c7: Camels
{ Tries : }
1.Rb3-e3 ? {(threatens} 2.CAd2*g3 # {by controlling e5)Mais}
1...CAc7-d4 ! {as 2 Bxd4# is no more possible}
1.Bg1-e3 ? {(threatens} 2.Be3-g5 # {)Mais}
1...Se1-f3 ! {because 2 Rxf3# is no more possible}
1.Rb3-a3 ! {}
1...a7-a6 {(threat-variation)} 2.Ra3*a5 b7-b5 3.Sb8-d7 # {}
1...Zh4*e6 {(for} 2.Ra3*a5 Ze6-b4 ! {)} 2.Ra3-e3 {(threatens} 3.Re3*e6 # {)And now Ze6 plays, forr instance on b4}
2...Ze6-b4 3.CAd2*g3 # {}
1...Zh4-e2 2.Bg1-e3 {(threatens} 3.Rg7-f7 # {)} 2...Ze2-h4 {(or Ze2-c5)} 3.Be3-g5 # {}
1...Se1-d3 2.Ra3*d3 {(for} 3.Rd3-f3 # {)} 2...Za5*d3 3.Sb8-d7 #
{A noter que} 1.Rb3-b5 ? {with same threats :} 2.Rb5*a5 {followed by} 3.Sb8-d7 #
{works less well than the key because of } 1...Se1-d3 !
{The threats of the trials are found as mates in the real play (Dombrovskis effect).}
4 - serial h=6 with Equihoppers and neutral pawn
Equihopper Equihopper plays symmetrically relative to any unit, provided it does not leave the board.
neutral Pd2
white EQc3c7e7g7g3 Kf4 Ph4
black Kb2 Pb5d5d3
ser-h=6(7+4+1c3, c7, e7, g7, g3: Equihoppersd2: neutral pawn
{
}
1.nPd2-d1=nQ {}
2.nQd1-h5 {"One of the most surprising moves I've seen" (K. Widlert).
Indeed, it is the only move which allows Ka1 and the continuation, i.e. the return of the neutral Queen on tiptoe}
3.Kb2-a1 {}
4.nQh5-e2 {}
5.nQe2-c2 {}
6.nQc2-b3 EQc3-e3 {stalemate !!
The neutral Queen cannot play on b4, c4, c2 and no pawn can play under threat of self check.}
5 - h#2 2 solutions isardam anti-circe
Isardam it is unlawful to place in mutual observation two opposite pieces of the same nature
Anti-circe After a capture, the capturing piece returns to its original square if it is free.
If the resurrection square is not free, then capture is illegal
The g1 square will have to be vacated for Nb3 to check.
But it is necessary to forbid the defences ...b1R & ...d1B paralysing the Knight b3 by the isardam condition.
Note that ...Kxa4 is impossible : rebirth on e8 runs into Nxe8 reborn on b1.
And ...cxb3 is also impossible (no rebirth on b7).
white Sb3c7 Ba4 Kg1 Qd3 Pf2g2 Rb7
black Pb2c3c4c5c6h4g6d2 Ka5 Be1 Re3 Qf3
h#2 Isardam Anti-Circe(8+14)
{}
1.d2-d1=R Qd3-b1 2.Rd1*b1-a8 Kg1-h1 #!
{Now 3.b1R does not paralyze Nb3 anymore, because after 3...Nxa5 the Rooks are not in real observation :
neither ...Rxb7 (no rebirth on a8) nor Rxb1 (no rebirth on h1) are possible.}
1.b2-b1=B Qd3-c2 2.Bb1*c2-c8 Kg1-f1 # !
{Now 3.d1B does not paralyze Nb3 anymore, because after 3...Nxa5 the Bishops are not in real observation :
neither ...Bxa4 (no rebirth on c8) nor Bxd1 (no rebirth on f1) are possible.
Note that it would be enough for White to play a waiting move on his 1st move so that after 2...Bxd3 or Rxd3, Nb3 is released.
But they don't: 1...fxe3 (Pe2) would put Queens in observation, 1...gxf3 is illegal (impossible rebirth on f2),
1...Rb8 woukd allow 2.cxb3(Pb7).}
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