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

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(Added details on the remaining Regular Size 9 move.)
(7 intermediate revisions by 2 users not shown)
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3:SSSSSSRRR
 
3:SSSSSSRRR
 
4:SSSSSRRRR
 
4:SSSSSRRRR
5:SSSS_RBR_
+
5:SSSSRRBRR
 
6:SSSRRBBRR
 
6:SSSRRBBRR
 
7:SSRRBBBRR
 
7:SSRRBBBRR
 
8:SRRRRRRRR
 
8:SRRRRRRRR
9:RRRR_RRRR
+
9:RRRRRRRRR
 
</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:SS__PR___
 
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 either of the two 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.
 
 
 
<hex> C9 R9
 
1:SSSSSSSS_
 
2:SSSSSSS__
 
3:SSSSSS___
 
4:SSSSS____
 
5:SSSSB_P__
 
6:SSS__R___
 
7:SS__P_P__
 
8:S________
 
9:_________
 
</hex>
 
If Red tries this move, Blue has three moves (of which two are mirror images of each other) with currently unknown status. All others are losing.
 
 
 
<hex> C9 R9
 
1:SSSSSSSS_
 
2:SSSSSSS__
 
3:SSSSSS___
 
4:SSSSS____
 
5:SSSSB____
 
6:SSS______
 
7:SS__R____
 
8:S________
 
9:_________
 
</hex>
 
Red's last alternative, while potentially good, is not as ideally placed for easily proving a win as the others, and Blue's follow-ups thus seem to be more difficult to narrow down.
 
 
  
 
=== Regular Y / Size 10===
 
=== Regular Y / Size 10===
 
<hex> C10 R10
 
<hex> C10 R10
 
1:SSSSSSSSSR
 
1:SSSSSSSSSR
2:SSSSSSSS__
+
2:SSSSSSSSRR
3:SSSSSSS___
+
3:SSSSSSSRRR
4:SSSSSS____
+
4:SSSSSSRRRR
 
5:SSSSS_____
 
5:SSSSS_____
6:SSSS______
+
6:SSSS__BB__
7:SSS___B___
+
7:SSSR_BBB_R
8:SS________
+
8:SSRR_BB_RR
9:S_________
+
9:SRRR___RRR
10:R________R
+
10:RRRR__RRRR
 
</hex>
 
</hex>
  
Line 220: Line 150:
  
 
Again, status unknown but presumably within reach for computers.
 
Again, status unknown but presumably within reach for computers.
 +
 +
== See also ==
 +
For corresponding information on Hex, please visit [[Small boards]].
  
 
[[category:Y]]
 
[[category:Y]]

Revision as of 11:24, 20 October 2016

  • 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

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.

See also

For corresponding information on Hex, please visit Small boards.