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

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(Completed size 6 (A3 should not be swapped; loses to C2), added Bent board and Master Y (please add results))
(30 intermediate revisions by 2 users not shown)
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*the star marked hexes are defining the [[Y]] board.
 
*the star marked hexes are defining the [[Y]] board.
  
=== Size 5===
+
=== Regular Y / Size 2===
 +
<hex> C2 R2
 +
1:SB
 +
2:BB
 +
</hex>
 +
 
 +
=== Regular Y / Size 3===
 +
<hex> C3 R3
 +
1:SSR
 +
2:SBB
 +
3:RBR
 +
</hex>
 +
 
 +
=== Regular Y / Size 4===
 +
<hex> C4 R4
 +
1:SSSR
 +
2:SSBB
 +
3:SBBB
 +
4:RBBR
 +
</hex>
 +
 
 +
=== Regular Y / Size 5===
 
<hex> C5 R5
 
<hex> C5 R5
 
1:SSSSR
 
1:SSSSR
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</hex>
 
</hex>
  
=== Size 6===
+
=== Regular Y / Size 6===
 
<hex> C6 R6
 
<hex> C6 R6
 
1:SSSSSR
 
1:SSSSSR
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</hex>
 
</hex>
  
=== Size 7===
+
=== Regular Y / Size 7===
 
<hex> C7 R7
 
<hex> C7 R7
 
1:SSSSSSR
 
1:SSSSSSR
 
2:SSSSSRR
 
2:SSSSSRR
3:SSSS___
+
3:SSSSRBR
4:SSS_BB_
+
4:SSSRBBR
5:SS_BBB_
+
5:SSRBBBR
6:SR_BB_R
+
6:SRBBBBR
7:RR___RR
+
7:RRRRRRR
 
</hex>
 
</hex>
  
=== Bent board===
+
=== Regular Y / Size 8===
 +
<hex> C8 R8
 +
1:SSSSSSSR
 +
2:SSSSSSRR
 +
3:SSSSSRRR
 +
4:SSSSRBBR
 +
5:SSSRRBRR
 +
6:SSRBBBBR
 +
7:SRRBRBRR
 +
8:RRRRRRRR
 +
</hex>
 +
 
 +
=== Regular Y / Size 9===
 +
<hex> C9 R9
 +
1:SSSSSSSSR
 +
2:SSSSSSSRR
 +
3:SSSSSSRRR
 +
4:SSSSSRRRR
 +
5:SSSSRRBRR
 +
6:SSSRRBBRR
 +
7:SSRRBBBRR
 +
8:SRRRRRRRR
 +
9:RRRRRRRRR
 +
</hex>
 +
 
 +
=== Regular Y / Size 10===
 +
<hex> C10 R10
 +
1:SSSSSSSSSR
 +
2:SSSSSSSSRR
 +
3:SSSSSSSRRR
 +
4:SSSSSSRRRR
 +
5:SSSSS_____
 +
6:SSSS__BB__
 +
7:SSSR_BBB_R
 +
8:SSRR_BB_RR
 +
9:SRRR___RRR
 +
10:RRRR__RRRR
 +
</hex>
 +
 
 +
=== Regular Y / Bent-27===
  
 
[[Image:Y27_bent.gif]]
 
[[Image:Y27_bent.gif]]
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=== Master Y===
 
=== 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===
 +
<hex> C2 R2
 +
1:SR
 +
2:RR
 +
</hex>
 +
 +
=== Master Y / Size 3===
 +
<hex> C3 R3
 +
1:SSR
 +
2:SBB
 +
3:RBR
 +
</hex>
 +
 +
=== Master Y / Size 4===
 +
<hex> C4 R4
 +
1:SSSR
 +
2:SSRR
 +
3:SRBR
 +
4:RRRR
 +
</hex>
 +
 +
=== Master Y / Size 5===
 +
<hex> C5 R5
 +
1:SSSSR
 +
2:SSSRR
 +
3:SSRRR
 +
4:SRRRR
 +
5:RRRRR
 +
</hex>
 +
 +
=== Master Y / Size 6===
 +
<hex> C6 R6
 +
1:SSSSSR
 +
2:SSSSRR
 +
3:SSSRRR
 +
4:SSR__R
 +
5:SRR_RR
 +
6:RRRRRR
 +
</hex>
 +
 +
=== Master Y / Bent-27===
 +
 +
[[Image:Y27_bent.gif]]
 +
 +
Again, status unknown but presumably within reach for computers.
  
In Master Y, the first player places one piece on the board, and each subsequent move consists of placing two pieces on the board. It could be interesting to know which first moves are winning on these small boards.
+
== 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.