% Francois Labelle & computer, January 30, 2004 % All 9 mirror-symmetric PG-3.5 with exactly 1 solution. % 5 SPG-3.5 % 4 PG-3.5, SPG-3.0 % Comment: % % All 5 SPG-3.5 are rediscoveries. % (see http://anselan.com/SYM.html) (Forsyth-Edwards Notation, followed by the same list in ascii diagrams) SPG-3.5: rnb1kb1r/pppp1ppp/4pn2/8/8/4PN2/PPPP1PPP/RNB1KB1R rnb1kb1r/pppp1ppp/5n2/4p3/4P3/5N2/PPPP1PPP/RNB1KB1R rnb1kbnr/Qp1ppppp/8/2p5/2P5/8/qP1PPPPP/RNB1KBNR rnb1kbnr/pppp1ppp/8/3Qp3/3qP3/8/PPPP1PPP/RNB1KBNR rnb1kbnr/pQ1ppppp/2p5/8/8/2P5/Pq1PPPPP/RNB1KBNR _________________ _________________ _________________ _________________ | | | | | | r n b . k b . r | r n b . k b . r | r n b . k b n r | r n b . k b n r | | p p p p . p p p | p p p p . p p p | Q p . p p p p p | p p p p . p p p | | . . . . p n . . | . . . . . n . . | . . . . . . . . | . . . . . . . . | | . . . . . . . . | . . . . p . . . | . . p . . . . . | . . . Q p . . . | | . . . . . . . . | . . . . P . . . | . . P . . . . . | . . . q P . . . | | . . . . P N . . | . . . . . N . . | . . . . . . . . | . . . . . . . . | | P P P P . P P P | P P P P . P P P | q P . P P P P P | P P P P . P P P | | R N B . K B . R | R N B . K B . R | R N B . K B N R | R N B . K B N R | |_________________|_________________|_________________|_________________| | | | r n b . k b n r | | p Q . p p p p p | | . . p . . . . . | | . . . . . . . . | | . . . . . . . . | | . . P . . . . . | | P q . P P P P P | | R N B . K B N R | |_________________| PG-3.5, SPG-3.0: 1rbqkbnr/pp1ppppp/2n5/2p5/2P5/2N5/PP1PPPPP/1RBQKBNR 1rbqkbnr/1ppppppp/n7/p7/P7/N7/1PPPPPPP/1RBQKBNR rnbqkbr1/ppppppp1/7n/7p/7P/7N/PPPPPPP1/RNBQKBR1 rnbqkbr1/ppppp1pp/5n2/5p2/5P2/5N2/PPPPP1PP/RNBQKBR1 _________________ _________________ _________________ _________________ | | | | | | . r b q k b n r | . r b q k b n r | r n b q k b r . | r n b q k b r . | | p p . p p p p p | . p p p p p p p | p p p p p p p . | p p p p p . p p | | . . n . . . . . | n . . . . . . . | . . . . . . . n | . . . . . n . . | | . . p . . . . . | p . . . . . . . | . . . . . . . p | . . . . . p . . | | . . P . . . . . | P . . . . . . . | . . . . . . . P | . . . . . P . . | | . . N . . . . . | N . . . . . . . | . . . . . . . N | . . . . . N . . | | P P . P P P P P | . P P P P P P P | P P P P P P P . | P P P P P . P P | | . R B Q K B N R | . R B Q K B N R | R N B Q K B R . | R N B Q K B R . | |_________________|_________________|_________________|_________________|