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Possibility 1: f7
Black had 2 possibilities to make sure to recycle pieces with only 2 moves:
1.d1-d4 and i3-f6. All other possibilities could be countered
or would make him lose his GIPF.
Through playing 1.f7 (see diagram), White reduced Black's options to
one: he may not play 1
i3-f6 any more because of White's 2.f8-f4.
Black would be able to recycle pieces on the a5-i1 diagonal and on the g1-g6
line, but both possibilities leave White a simple win with 3.f8-f3:xGf3.
So, Black must play 1
d1-d4. White defends the piece on d6 with
2.c1-e3, knowing that Black can't capture on the c1-i3 line without
losing his GIPF. Again Black has no option and plays 2
i3-f6.
Because of the piece on f7 White can capture with (3) f8-f4;x
and put pressure on Black's GIPF at the same time. Black, having recycled
only 3 pieces, must defend Gf4 with either 3
g7-e7 or h6-e6.
The first possibility solves nothing, because White simply re-established
the same attack with 4.g7-d6. So, he chooses 3
h6-e6. White
can't attack Gf4 with only one move, so he must look for a way to make
Black run out of pieces. No problem because, because Black has only 2 pieces
left.
Possibility 2: i3-f6
1. i3-f6 / h5;x
2. i4-f4;x / i2-g4
Black can't make a row without including g4 or h3
Possibility 3: i3-f3
1. i3-f3 / i3-f6
2. i3-e3 / h5;x
3. g1-g5;x / i2-g4
4. f7 / d1-d4
5. f8-f4;x / d1-d5;x
6. f8-f2;xGf3
I don't exclude that there might be even a fourth solution, but I must confess that I'm kind of GIPF-blind for the moment. Please send us your solution if it matches a win for White in 6 moves.
1. c1-e3 is not good enough, because Black replies with 1...f2, and 1.i4-f4 isn't either, because of 1...i4-c2.