Difference between revisions of "Where to swap (y)"

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(Updated Regular Size 9: B3 loses to D4. Initiated Size 10.)
(Added current status of the remaining undecided first move on Regular Size 9.)
Line 78: Line 78:
 
9:RRRR_RRRR
 
9:RRRR_RRRR
 
</hex>
 
</hex>
 +
 +
<hex> C9 R9
 +
1:SSSSSSSSP
 +
2:SSSSSSSPP
 +
3:SSSSSSPPP
 +
4:SSSSSPPPP
 +
5:SSSS_P_P_
 +
6:SSS______
 +
7:SS___R___
 +
8:S________
 +
9:_________
 +
</hex>
 +
If Blue plays first in any of the marked cells, Red wins with perfect play after this move.
 +
 +
 +
<hex> C9 R9
 +
1:SSSSSSSS_
 +
2:SSSSSSS__
 +
3:SSSSSS___
 +
4:SSSSS____
 +
5:SSSSB_P__
 +
6:SSS______
 +
7:SSPPPR___
 +
8:S________
 +
9:_________
 +
</hex>
 +
In view of that, Red might like to try the same move after this blue opening. However, it is currently not known who wins if Blue plays one of the marked cells next. (All others are losing for Blue.)
 +
 +
 +
<hex> C9 R9
 +
1:SSSSSSSS_
 +
2:SSSSSSS__
 +
3:SSSSSS___
 +
4:SSSSS____
 +
5:SSSSB_P__
 +
6:SSS__P___
 +
7:SS__P____
 +
8:S________
 +
9:_________
 +
</hex>
 +
If Blue in fact has a winning move in the previous position, Red can instead try one of these three moves (of which two are mirror images of each other). All others are losing for Red.
  
 
=== Regular Y / Size 10===
 
=== Regular Y / Size 10===

Revision as of 13:48, 25 November 2011

  • the red marked hexes should not be swapped
  • the blue marked hexes should be swapped
  • the star marked hexes are defining the Y board.

Regular Y / Size 2

Regular Y / Size 3

Regular Y / Size 4

Regular Y / Size 5

Regular Y / Size 6

Regular Y / Size 7

Regular Y / Size 8

Regular Y / Size 9

If Blue plays first in any of the marked cells, Red wins with perfect play after this move.


In view of that, Red might like to try the same move after this blue opening. However, it is currently not known who wins if Blue plays one of the marked cells next. (All others are losing for Blue.)


If Blue in fact has a winning move in the previous position, Red can instead try one of these three moves (of which two are mirror images of each other). All others are losing for Red.

Regular Y / Size 10

Regular Y / Bent-27

Y27 bent.gif

This board (on which the pieces are placed on the intersections) should be within reach for computers, but no results are known so far.

Master Y

In Master Y, the first player places one piece on the board, and each subsequent move consists of placing two pieces on the board.

  • the red marked hexes are losing first moves
  • the blue marked hexes are winning first moves

Master Y / Size 2

Master Y / Size 3

Master Y / Size 4

Master Y / Size 5

Master Y / Size 6

Master Y / Bent-27

Y27 bent.gif

Again, status unknown but presumably within reach for computers.