% Francois Labelle & computer, January 30, 2004 % All 8 mirror-symmetric PG-3.5 with exactly 2 solutions. % 1 SPG-3.5 % 7 PG-3.5, SPG-3.0 (Forsyth-Edwards Notation, followed by the same list in ascii diagrams) SPG-3.5: rnb1kbnr/Qp1ppppp/2p5/8/8/2P5/qP1PPPPP/RNB1KBNR _________________ | | | r n b . k b n r | | Q p . p p p p p | | . . p . . . . . | | . . . . . . . . | | . . . . . . . . | | . . P . . . . . | | q P . P P P P P | | R N B . K B N R | |_________________| PG-3.5, SPG-3.0: rnq1kbnr/pbpppppp/1p6/8/8/1P6/PBPPPPPP/RNQ1KBNR rnq1kbnr/p1pppppp/bp6/8/8/BP6/P1PPPPPP/RNQ1KBNR r1b1kbnr/pppnpppp/3q4/3p4/3P4/3Q4/PPPNPPPP/R1B1KBNR rnb1kbnr/p2ppppp/1pp5/q7/Q7/1PP5/P2PPPPP/RNB1KBNR rnb1kbnr/ppp1pppp/2qp4/8/8/2QP4/PPP1PPPP/RNB1KBNR rnbq1knr/pppppp1p/6pb/8/8/6PB/PPPPPP1P/RNBQ1KNR rnbq1knr/ppppppbp/6p1/8/8/6P1/PPPPPPBP/RNBQ1KNR _________________ _________________ _________________ _________________ | | | | | | r n q . k b n r | r n q . k b n r | r . b . k b n r | r n b . k b n r | | p b p p p p p p | p . p p p p p p | p p p n p p p p | p . . p p p p p | | . p . . . . . . | b p . . . . . . | . . . q . . . . | . p p . . . . . | | . . . . . . . . | . . . . . . . . | . . . p . . . . | q . . . . . . . | | . . . . . . . . | . . . . . . . . | . . . P . . . . | Q . . . . . . . | | . P . . . . . . | B P . . . . . . | . . . Q . . . . | . P P . . . . . | | P B P P P P P P | P . P P P P P P | P P P N P P P P | P . . P P P P P | | R N Q . K B N R | R N Q . K B N R | R . B . K B N R | R N B . K B N R | |_________________|_________________|_________________|_________________| | | | | | r n b . k b n r | r n b q . k n r | r n b q . k n r | | p p p . p p p p | p p p p p p . p | p p p p p p b p | | . . q p . . . . | . . . . . . p b | . . . . . . p . | | . . . . . . . . | . . . . . . . . | . . . . . . . . | | . . . . . . . . | . . . . . . . . | . . . . . . . . | | . . Q P . . . . | . . . . . . P B | . . . . . . P . | | P P P . P P P P | P P P P P P . P | P P P P P P B P | | R N B . K B N R | R N B Q . K N R | R N B Q . K N R | |_________________|_________________|_________________|