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  • ...o weak, the second player will not swap (and therefore also be in a strong position). Therefore, the swap rule creates an incentive for the first player to pla ...eans the initial red piece is replaced by a blue piece in the mirror image position, where the mirroring takes place with respect to the board's long diagonal.
    9 KB (1,588 words) - 14:53, 18 November 2023
  • A player's position is only as good as the '''weakest''' potential '''link''' in their best con For example, in the position below, f6 is the weakest point in [[Red]]'s best connection across the boar
    690 B (126 words) - 00:11, 17 January 2023
  • Another try from the original position would be to block at a bridge distance away at f8 (see diagram below). This A good block in the original position is to block at one hex farther back than the bridge block at either e9 or f
    15 KB (2,693 words) - 23:24, 12 October 2022
  • ...nnot have any effect on the rest of the game regardless of the rest of the position. Notice that any red path through c5 must pass through b6 and c6. But b6
    1 KB (230 words) - 01:47, 12 September 2021
  • ...ete an immediate [[strong connection]] or [[win]]. Consider the following position with Red to move. At first glance, the position looks bad for Red, but she can win by making a couple of forcing moves. She
    6 KB (1,139 words) - 15:33, 7 October 2023
  • ...[double threat]] connecting two of a player's [[group]]s. In the following position, Red's two groups are connected by double threat at the two cells marked "*
    3 KB (451 words) - 01:49, 18 May 2022
  • Consider the following position, with Red to move:
    2 KB (298 words) - 00:56, 16 March 2022
  • ...]] at the cells marked "*". If Blue instead plays 6 on the second row, the position transposes to one commonly encountered with the D3 corner move (described b
    4 KB (799 words) - 14:57, 18 November 2023
  • The two red stones on the right in the following position can be used to escape Red's third row ladder and enable Red to win the game
    4 KB (815 words) - 02:00, 8 January 2023
  • In the following position, Red has no [[edge template]].
    1 KB (228 words) - 01:53, 18 May 2022
  • Consider the following position with [[Red]] to play.
    5 KB (973 words) - 00:36, 29 December 2021
  • ...r (see the illustration on the right). For example, consider the following position, with Red to move:
    14 KB (2,655 words) - 12:53, 27 April 2024
  • In the following, when we say that a position is "winning" or "losing", we always mean under [[optimal play]] by both pla ...1 and b1 is a losing opening move, we will prove a stronger statement: the position with red pieces in ''both'' a1 and b1 (and no other pieces on the board), w
    4 KB (667 words) - 16:28, 25 May 2023
  • ...But instead, she plays at y and ladders to the right, giving the following position:
    1 KB (269 words) - 22:32, 19 May 2022
  • ...nnot have any effect on the rest of the game regardless of the rest of the position. Consider the same position as before but suppose Red has an additional piece at h8.
    26 KB (4,694 words) - 01:56, 18 May 2022
  • ...t of Hex strategy. By making local moves, a player is able to defend their position and maintain control of one area of the board. This type of play is often u ...that will be useful later, and for exploiting weaknesses in the opponent's position.
    1 KB (255 words) - 02:46, 23 January 2023
  • ...ctly. Blue is still too focused on the bottom (unavoidably, given the weak position), but after having obtained a reasonable amount of influence on the right s
    1 KB (257 words) - 18:35, 7 September 2023
  • ...trategy refers to a player's overall plan of action considering the global position on the board, whereas tactics refers to specific moves and actions taken in
    3 KB (429 words) - 00:43, 8 May 2023
  • ...i.e., when a player swaps, the player keeps the same color, but the board position is mirrored. If the [[Conventions#Swapping|swap-sides convention]] is used ...lay without the swap rule, but to place Red's first piece in a pre-defined position (rather than allowing Red to place the piece freely). A piece placed in the
    11 KB (1,806 words) - 03:07, 5 April 2023
  • ...not too weak, as the second player will decline the swap and have a better position. Therefore, the first player must find a move that gives both players an ap
    2 KB (325 words) - 18:04, 19 March 2023
  • ...nd the [[outpost]] at the bottom right helps to connect to the bottom. The position is very difficult for [[Blue (player)|Blue]] at the moment.
    882 B (161 words) - 04:58, 28 May 2023
  • Consider the following position: ...d he also intrudes on its [[edge template]] to the bottom. In fact in this position Blue [[win]]s.
    6 KB (1,124 words) - 02:36, 8 January 2023
  • ...then restore the connection between her pieces by playing at any A. Red's position improves, while Blue's piece is not very useful. Although Blue still has to ...hem, it is not a wheel and it is not a template. The U-turn is a very weak position. The U-turn sometimes arises when a player tries to connect via [[bridge]]s
    3 KB (482 words) - 17:33, 18 April 2023
  • ...to connect, but the defender wants to get the most compensation out of his position. The most common way to jump is on the same row as the attacker's ladder an
    4 KB (771 words) - 01:43, 7 May 2023
  • ...pass. If the second player to move had a winning strategy for a symmetric position, then the first player to move could simply steal that strategy by passing * The problem of determining the winner of a given Hex position (on a board of size ''n''×''n'') is '''PSPACE-complete'''. The fact that i
    10 KB (1,737 words) - 02:19, 26 April 2024
  • * Is the following true? Assume one player is in a winning position (will win with [[optimal play]]) and the opponent plays in a hex X. Let the
    4 KB (645 words) - 02:14, 9 November 2023
  • ...wn minimax move d5 (d6 is the other minimax option) yielding the following position. ...central group with e6, my opponent responds with d5 yielding the following position.
    31 KB (5,861 words) - 00:58, 9 February 2022
  • Note that this position is [[Equivalent patterns|equivalent]] to the position with the pieces at a5 and a6 removed. This could arise in response to the
    5 KB (1,001 words) - 12:23, 5 January 2024
  • The following seem like horizontal's (Blue's) best tries from the above position. ...s to intrude Red's upward connection at 3.b4. This leaves Blue in a strong position.
    34 KB (6,464 words) - 23:41, 14 February 2024
  • Any position on an <em>nxm</em> board is equivalent to the same position on the interior (i.e. the cells non-adjacent to the edges) of an <em>(n+2)x ...e in the left pattern is [[captured cell|captured]] by Red. Therefore, the position is equivalent to one where this stone is actually red.
    13 KB (2,546 words) - 02:17, 9 May 2023
  • ...also contain variations (several different games played out from the same position), as well as comments on every move in the game.
    5 KB (756 words) - 02:08, 10 February 2024
  • ...dary of ''T'' form a [[chain]] connecting the left and right edges, so the position is winning for Blue.
    3 KB (508 words) - 04:09, 30 May 2023
  • ...randomly filled with black and white stones. A consequence is that in each position, Black's optimal move is the same as White's optimal move, and is the cell
    7 KB (1,237 words) - 17:18, 7 May 2023
  • <tr><td>Position after 8 moves</td><td>Position after 15 moves</td></tr></table><BR> [[Image:605389_11.gif]]<BR>Position after 11 moves<BR><BR>
    21 KB (3,875 words) - 14:30, 18 April 2008
  • ...ition, for example, a special starting position for a game or puzzle, or a position that is used to explain some point in a game comment. A node is a setup nod
    16 KB (2,720 words) - 14:16, 8 January 2023
  • ...player is a rule that specifies the player's next move from every possible position. If we fix a strategy for Red and a strategy for Blue, then the winner of t ...winning strategy for this position with Blue to move next". We say that a position is a ''first-player win'' for a player if that player has a winning strateg
    5 KB (901 words) - 01:06, 12 September 2021
  • ...ead, 21.s13 had some complicated variations. Black was already in a better position, and I didn't see any way white could win here, but s13 would have required ...the same position in the same tournament. Anyway, I think in this game my position was better. 16.o22 was too low. The key point is 17.n15 here, which allows
    23 KB (4,233 words) - 14:30, 18 April 2008
  • * ''Your position is only as good as your [[weakest link]].''
    2 KB (285 words) - 04:31, 26 July 2021
  • ...e red stone at e7 is connected up via * and down via +, so it is a winning position.
    4 KB (732 words) - 03:43, 16 June 2021
  • ...d with 1. a3 and my opponent responded with 1... e4 yielding the following position.
    6 KB (1,061 words) - 00:31, 9 February 2022
  • ...ng in a 2nd row [[ladder]]. Red's 2 acts as a [[ladder escape]]. The final position is
    5 KB (953 words) - 13:44, 27 August 2022
  • ...rrelevant move''' or '''wasted move''' is a move that does not improve the position of the player who makes the move. It is considered as a waste of time and s ...makes it, it can sometimes happen that it does not improve the opponent's position either. Thus, the effect of such a move is in the best case neutral for the
    3 KB (503 words) - 23:36, 28 August 2022
  • ...[[template]]s and [[double threat]]s. For example, consider the following position:
    3 KB (517 words) - 15:25, 1 October 2023
  • ...our does not affect the outcome of the game. More formally, in a given Hex position, a cell is ''dead'' if for every way of filling all empty cells of the boar ...d a blue piece or a red piece, without changing the strategic value of the position. This often simplifies the analysis of Hex positions. In particular, dead c
    5 KB (925 words) - 16:30, 25 May 2023
  • ...ample, 6x6 Brid-it, shown on the right, is equivalent to the following Hex position: However, since this position never arises during a normal game of Hex, the usual elements of Hex strateg
    6 KB (1,060 words) - 04:11, 30 May 2023
  • ...playing into a simple losing position. This leaves playing into an unclear position but in which your side seems to be as strong as possible.
    10 KB (1,993 words) - 14:36, 11 May 2023
  • Consider the following position, with Blue to move: ...y region, the player is losing. To illustrate this, consider the following position, with Blue to move.
    14 KB (2,723 words) - 01:16, 4 October 2023
  • ...a useful situation for the defender to be aware of. Consider the following position, with Blue to move: This position is complicated to analyze, with many possible lines of play, but it can be
    17 KB (3,207 words) - 22:47, 18 March 2024
  • This is the position I (Red) am considering when these notes start, move 25:
    6 KB (1,272 words) - 02:24, 11 May 2023
  • ...current state at http://hexwiki.amecy.com/board_gui.html. You can build a position there, and the page generates markup that you can paste into your wiki arti
    4 KB (712 words) - 21:17, 28 December 2020

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