% 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 . |
|_________________|_________________|_________________|_________________|