Difference between revisions of "Where to swap (y)"
From HexWiki
(switch to shading and reorganize section headers, for consistency) |
(swap maps for sizes 10-13, 15, 17) |
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| (One intermediate revision by the same user not shown) | |||
| Line 1: | Line 1: | ||
| − | * The red marked hexes should | + | * The red marked hexes should be swapped. |
| − | * The blue marked hexes should be swapped. | + | * The blue marked hexes should not be swapped. |
== Regular Y == | == Regular Y == | ||
| Line 9: | Line 9: | ||
edges="none" | edges="none" | ||
visible="area(a2,b2,b1)" | visible="area(a2,b2,b1)" | ||
| − | contents="S | + | contents="S red:all" |
/> | /> | ||
| Line 17: | Line 17: | ||
edges="none" | edges="none" | ||
visible="area(a3,c3,c1)" | visible="area(a3,c3,c1)" | ||
| − | contents="S | + | contents="S blue:all red:(b2 b3 c2)" |
/> | /> | ||
| Line 25: | Line 25: | ||
edges="none" | edges="none" | ||
visible="area(a4,d4,d1)" | visible="area(a4,d4,d1)" | ||
| − | contents="S | + | contents="S red:all blue:(a4 d4 d1)" |
/> | /> | ||
| Line 33: | Line 33: | ||
edges="none" | edges="none" | ||
visible="area(a5,e5,e1)" | visible="area(a5,e5,e1)" | ||
| − | contents="S | + | contents="S blue:all red:area(d3,c4,d4)" |
/> | /> | ||
| Line 41: | Line 41: | ||
edges="none" | edges="none" | ||
visible="area(a6,f6,f1)" | visible="area(a6,f6,f1)" | ||
| − | contents="S | + | contents="S blue:all red:area(d4,d5,e4)" |
/> | /> | ||
| Line 49: | Line 49: | ||
edges="none" | edges="none" | ||
visible="area(a7,g7,g1)" | visible="area(a7,g7,g1)" | ||
| − | contents="S | + | contents="S blue:all red:area(c6,f6,f3)" |
/> | /> | ||
| Line 57: | Line 57: | ||
edges="none" | edges="none" | ||
visible="area(a8,h8,h1)" | visible="area(a8,h8,h1)" | ||
| − | contents="S | + | contents="S blue:all red:(f4--f7,g4--d7,d6--g6)" |
/> | /> | ||
| Line 65: | Line 65: | ||
edges="none" | edges="none" | ||
visible="area(a9,i9,i1)" | visible="area(a9,i9,i1)" | ||
| − | contents="S | + | contents="S blue:all red:area(g5,g7,e7)" |
/> | /> | ||
=== Size 10 === | === Size 10 === | ||
| + | The hexes marked (*) are proven to be winning or losing. The rest are highly likely but not proven. | ||
| + | |||
<hexboard size="10x10" | <hexboard size="10x10" | ||
coords="none" | coords="none" | ||
edges="none" | edges="none" | ||
visible="area(a10,j10,j1)" | visible="area(a10,j10,j1)" | ||
| − | contents="S | + | contents="S blue:all red:area(f6,h5,i6,h8,f9,e8) E *:(area(d7,d10,a10) area(j1,j4,g4) area(j7,j10,g10) area(f7,f8,g8,h7,h6,g6))" |
| + | /> | ||
| + | |||
| + | === Size 11 === | ||
| + | For sizes 11 and larger, the swap map maps are not proven, but a cell is only shaded red or blue if it is likely to be accurate. | ||
| + | |||
| + | <hexboard size="11x11" | ||
| + | coords="none" | ||
| + | edges="none" | ||
| + | visible="area(a11,k11,k1)" | ||
| + | contents="S blue:all red:area(i9,i5,e9)" | ||
| + | /> | ||
| + | |||
| + | === Size 12 === | ||
| + | <hexboard size="12x12" | ||
| + | coords="none" | ||
| + | edges="none" | ||
| + | visible="area(a12,l12,l1)" | ||
| + | contents="S blue:all red:area(j10,j5,e10)" | ||
| + | /> | ||
| + | |||
| + | === Size 13 === | ||
| + | <hexboard size="13x13" | ||
| + | coords="none" | ||
| + | edges="none" | ||
| + | visible="area(a13,m13,m1)" | ||
| + | contents="S blue:all red:area(l4,k4,i8,h8,h9,d11,d12,h10,h11,i10,k12,l11,j9,k8,j8)" | ||
| + | /> | ||
| + | |||
| + | === Size 15 === | ||
| + | <hexboard size="15x15" | ||
| + | coords="none" | ||
| + | edges="none" | ||
| + | visible="area(a15,o15,o1)" | ||
| + | contents="S blue:all red:area(m6,l6,k8,i9,h11,f12,f13,h12,i13,k12,l13,m12,l11,m9,l8)" | ||
| + | /> | ||
| + | |||
| + | === Size 17 === | ||
| + | Uncertain cells are shaded gray. These cells are marked (+) if they are more likely to be strong cells (that Blue should swap) and (-) if they are more likely to be weak cells (that Blue should not swap). | ||
| + | |||
| + | <hexboard size="17x17" | ||
| + | coords="none" | ||
| + | edges="none" | ||
| + | visible="area(a17,q17,q1)" | ||
| + | contents="S blue:all red:(o10 j10 j15 area(n8,n7,m8) area(h14,h13,g14) area(n14,n13,m14) area(m10 l10 j12 j13 l13 m12)) gray:(o7 m7 g13 g15 m15 o13 line(n9,l9,i12,i14,l14,n12,n9)) E +:line(n9,l9,i12,i14,l14,n12,n9) -:(o7 m7 g13 g15 m15 o13)" | ||
/> | /> | ||
| Line 85: | Line 131: | ||
In Master Y, the first player places one piece on the board, and each subsequent move consists of placing two pieces on the board. | 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 | + | *the red marked hexes are winning first moves |
| − | *the blue marked hexes are | + | *the blue marked hexes are losing first moves |
=== Size 2 === | === Size 2 === | ||
| Line 93: | Line 139: | ||
edges="none" | edges="none" | ||
visible="area(a2,b2,b1)" | visible="area(a2,b2,b1)" | ||
| − | contents="S | + | contents="S blue:all" |
/> | /> | ||
| Line 101: | Line 147: | ||
edges="none" | edges="none" | ||
visible="area(a3,c3,c1)" | visible="area(a3,c3,c1)" | ||
| − | contents="S | + | contents="S blue:all red:area(b3,c2,b2)" |
/> | /> | ||
| Line 109: | Line 155: | ||
edges="none" | edges="none" | ||
visible="area(a4,d4,d1)" | visible="area(a4,d4,d1)" | ||
| − | contents="S | + | contents="S blue:all red:c3" |
/> | /> | ||
| Line 117: | Line 163: | ||
edges="none" | edges="none" | ||
visible="area(a5,e5,e1)" | visible="area(a5,e5,e1)" | ||
| − | contents="S | + | contents="S blue:all" |
/> | /> | ||
| Line 125: | Line 171: | ||
edges="none" | edges="none" | ||
visible="area(a6,f6,f1)" | visible="area(a6,f6,f1)" | ||
| − | contents="S | + | contents="S blue:all red:area(d4,d5,e4)" |
/> | /> | ||
Latest revision as of 02:58, 26 June 2026
- The red marked hexes should be swapped.
- The blue marked hexes should not be swapped.
Contents
Regular Y
Size 2
Size 3
Size 4
Size 5
Size 6
Size 7
Size 8
Size 9
Size 10
The hexes marked (*) are proven to be winning or losing. The rest are highly likely but not proven.
Size 11
For sizes 11 and larger, the swap map maps are not proven, but a cell is only shaded red or blue if it is likely to be accurate.
Size 12
Size 13
Size 15
Size 17
Uncertain cells are shaded gray. These cells are marked (+) if they are more likely to be strong cells (that Blue should swap) and (-) if they are more likely to be weak cells (that Blue should not swap).
Bent-27
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
Again, status unknown but presumably within reach for computers.
See also
For corresponding information on Hex, please visit Small boards.
