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

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(Updated size 7 (B2 should be swapped / A4 should not be swapped; loses to C3))
(flip red/blue convention, for consistency with hex pages)
 
(32 intermediate revisions by 4 users not shown)
Line 1: Line 1:
*the red marked hexes should not be swapped
+
* The red marked hexes should be swapped.
*the blue marked hexes should be swapped
+
* The blue marked hexes should not be swapped.
*the star marked hexes are defining the [[Y]] board.
+
  
=== Size 4===
+
== Regular Y ==
<hex> C4 R4
+
1:SSSR
+
2:SSBB
+
3:SBBB
+
4:RBBR
+
</hex>
+
  
=== Size 5===
+
=== Size 2 ===
<hex> C5 R5
+
<hexboard size="2x2"
1:SSSSR
+
  coords="none"
2:SSSRR
+
  edges="none"
3:SSRBR
+
  visible="area(a2,b2,b1)"
4:SRBBR
+
  contents="S red:all"
5:RRRRR
+
  />
</hex>
+
  
=== Size 6===
+
=== Size 3 ===
<hex> C6 R6
+
<hexboard size="3x3"
1:SSSSSR
+
  coords="none"
2:SSSSRR
+
  edges="none"
3:SSSRRR
+
  visible="area(a3,c3,c1)"
4:SSRBBR
+
  contents="S blue:all red:(b2 b3 c2)"
5:SRRBRR
+
  />
6:RRRRRR
+
</hex>
+
  
=== Size 7===
+
=== Size 4 ===
<hex> C7 R7
+
<hexboard size="4x4"
1:SSSSSSR
+
  coords="none"
2:SSSSSRR
+
  edges="none"
3:SSSS_B_
+
  visible="area(a4,d4,d1)"
4:SSSRBBR
+
  contents="S red:all blue:(a4 d4 d1)"
5:SS_BBB_
+
  />
6:SRBBBBR
+
7:RR_R_RR
+
</hex>
+
  
=== Bent-27===
+
=== Size 5 ===
 +
<hexboard size="5x5"
 +
  coords="none"
 +
  edges="none"
 +
  visible="area(a5,e5,e1)"
 +
  contents="S blue:all red:area(d3,c4,d4)"
 +
  />
 +
 
 +
=== Size 6 ===
 +
<hexboard size="6x6"
 +
  coords="none"
 +
  edges="none"
 +
  visible="area(a6,f6,f1)"
 +
  contents="S blue:all red:area(d4,d5,e4)"
 +
  />
 +
 
 +
=== Size 7 ===
 +
<hexboard size="7x7"
 +
  coords="none"
 +
  edges="none"
 +
  visible="area(a7,g7,g1)"
 +
  contents="S blue:all red:area(c6,f6,f3)"
 +
  />
 +
 
 +
=== Size 8 ===
 +
<hexboard size="8x8"
 +
  coords="none"
 +
  edges="none"
 +
  visible="area(a8,h8,h1)"
 +
  contents="S blue:all red:(f4--f7,g4--d7,d6--g6)"
 +
  />
 +
 
 +
=== Size 9 ===
 +
<hexboard size="9x9"
 +
  coords="none"
 +
  edges="none"
 +
  visible="area(a9,i9,i1)"
 +
  contents="S blue:all red:area(g5,g7,e7)"
 +
  />
 +
 
 +
=== Size 10 ===
 +
<hexboard size="10x10"
 +
  coords="none"
 +
  edges="none"
 +
  visible="area(a10,j10,j1)"
 +
  contents="S blue:all none:area(e5,e11,k5) red:area(f7,f8,g8,h7,h6,g6)"
 +
  />
 +
 
 +
=== Bent-27 ===
  
 
[[Image:Y27_bent.gif]]
 
[[Image:Y27_bent.gif]]
Line 47: Line 82:
 
This board (on which the pieces are placed on the intersections) should be within reach for computers, but no results are known so far.
 
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===
+
== 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 winning first moves
 +
*the blue marked hexes are losing first moves
 +
 
 +
=== Size 2 ===
 +
<hexboard size="2x2"
 +
  coords="none"
 +
  edges="none"
 +
  visible="area(a2,b2,b1)"
 +
  contents="S blue:all"
 +
  />
 +
 
 +
=== Size 3 ===
 +
<hexboard size="3x3"
 +
  coords="none"
 +
  edges="none"
 +
  visible="area(a3,c3,c1)"
 +
  contents="S blue:all red:area(b3,c2,b2)"
 +
  />
 +
 
 +
=== Size 4 ===
 +
<hexboard size="4x4"
 +
  coords="none"
 +
  edges="none"
 +
  visible="area(a4,d4,d1)"
 +
  contents="S blue:all red:c3"
 +
  />
 +
 
 +
=== Size 5 ===
 +
<hexboard size="5x5"
 +
  coords="none"
 +
  edges="none"
 +
  visible="area(a5,e5,e1)"
 +
  contents="S blue:all"
 +
  />
 +
 
 +
=== Size 6 ===
 +
<hexboard size="6x6"
 +
  coords="none"
 +
  edges="none"
 +
  visible="area(a6,f6,f1)"
 +
  contents="S blue:all red:area(d4,d5,e4)"
 +
  />
 +
 
 +
=== 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]]

Latest revision as of 02:47, 21 June 2026

  • The red marked hexes should be swapped.
  • The blue marked hexes should not be swapped.

Regular Y

Size 2

Size 3

Size 4

Size 5

Size 6

Size 7

Size 8

Size 9

Size 10

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

Size 2

Size 3

Size 4

Size 5

Size 6

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.