VERY SHORT PROOF GAME "ODDITIES"
This page gives the complete set of symmetric "oddities" of length 3.5. These are all very easy to solve. Confirmation that there are exactly 5 PGs of that length, was provided by François Labelle as described here. Oddly but obviously, there are more of shorter length (1.5 or 2.5).
| {A} A.G.Buchanan Internet mailing list 23 Jan 2004 |
{B} A.J.Mestel Internet mailing list 23 Jan 2004 |
{C} A.J.Mestel variant of {B} |
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| (16+16) PG in 3.5 | (15+15) PG in 3.5 | (15+15) PG in 3.5 |
| {D} A.G.Buchanan Internet mailing list 23 Jan 2004 |
{E} A.G.Buchanan Internet mailing list 23 Jan 2004 |
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| (15+15) PG in 3.5 | (15+15) PG in 3.5 |
That Black has the move guarantees some differentiation between the play for the two sides. But the more different the better. Ideally, the path for each unit is different from its mirror image except for the final square for units that remain on the board. For example, {A} is quite immaculate from this perspective, while {C} is less interesting, because the pawn moves are the same. If moves have to be the same, it's better if they occur at different relative points in the sequence of moves.
No solutions for this page... they're too trivial!