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  • ...d and blue pieces, the winner remains the same when the colour of the dead cell is changed from red to blue or vice versa. A cell that is not dead is ''alive''.
    5 KB (925 words) - 16:30, 25 May 2023
  • ...ured'' by a player if all of the opponent's pieces in that area are [[dead cell|dead]], and for any possible move by the opponent in the area, the player h ...d cells are captured by Red. If Blue plays at a, Red can play at b, [[dead cell|killing]] a.
    10 KB (1,893 words) - 23:42, 14 February 2024
  • 24 B (2 words) - 21:19, 16 November 2023

Page text matches

  • This is actually 3 templates. Each blue-shaded cell represents a place you can put a blue stone and still have a template. The cell with the + needs to be extended with empty cells such that it is adjacent t
    8 KB (1,365 words) - 19:48, 2 April 2024
  • ...d in a red cell is probably winning and should be swapped; those in a blue cell are probably losing and should not be swapped; and those marked "*", which
    9 KB (1,588 words) - 14:53, 18 November 2023
  • The shaded cell is not part of the template and can be occupied by Blue. The shaded cell is not part of the template and can be occupied by Blue.
    3 KB (562 words) - 02:57, 2 May 2024
  • The important point is that the piece in a useless triangle is [[dead cell|dead]]. It has effectively been removed from the game — that is, it canno ...eless triangle is a special case of the more general concept of [[captured cell|capture]].
    1 KB (230 words) - 01:47, 12 September 2021
  • In other words, c [[dominated cell|dominates]] a and b.
    6 KB (1,139 words) - 15:33, 7 October 2023
  • ...ther templates, the 2nd row edge template [[captured cell|captures]] every cell in its carrier. It therefore offers no useful [[intrusion]] points to the o
    458 B (74 words) - 19:17, 28 December 2020
  • ...verlapping'''; each of the three threatened connections passes through the cell c3. Therefore, by moving at c3, Blue can neutralize all three threats at th
    3 KB (451 words) - 01:49, 18 May 2022
  • ...in the other cell, which not only reconnects the template but also [[dead cell|kills]] the opponent's piece. * Red e2 [[captured cell|captures]] d3 and e3 and [[dead cell|kills]] c1: <hexboard size="3x6"
    5 KB (895 words) - 02:18, 5 October 2023
  • ...can [[jumping|jump]] ahead to the escape template by playing at the marked cell.
    2 KB (433 words) - 21:12, 28 December 2020
  • ...hey had blue pieces in them. This makes the red pieces at a1 and b1 [[dead cell|dead]]. Therefore, after Blue's move at b2, the position is strategically e
    4 KB (667 words) - 16:28, 25 May 2023
  • A wall can contain one-cell holes without affecting its function, as long as the whole wall is a single
    1 KB (269 words) - 22:32, 19 May 2022
  • ...up or template. For example, if the opponent places a stone in a key empty cell that is necessary for a player's group to maintain its connection, the play
    1 KB (255 words) - 02:46, 23 January 2023
  • ...ge if a straight line of diagonal [[bridge]] jumps can be made between the cell and the edge: A cell is '''doubly reachable''' if diagonals can be made in both directions:
    741 B (132 words) - 14:16, 9 December 2020
  • ...enerally, it is still unknown whether one stone edge templates that use no cell higher than the initial stone can be found for all heights. Such [[edge tem
    2 KB (369 words) - 21:45, 28 December 2020
  • * [[Captured cell]]s * [[Dead cell]]s
    3 KB (429 words) - 00:43, 8 May 2023
  • ...nts, the whole line can be drawn with only one command. The valid types of cell contents are: * '''_''' for an empty cell.
    7 KB (1,421 words) - 21:47, 10 December 2020
  • Two templates '''overlap''' if some empty cell belongs to both of their carriers. Care must be taken with overlapping temp
    3 KB (494 words) - 20:01, 19 February 2024
  • However it does not secure Red a connection, because there is one vulnerable cell, namely e7: * A ladder escape fork on the third row is unfoilable if the cell marked "*" is empty, and is not required for the "connection up":
    6 KB (1,124 words) - 02:36, 8 January 2023
  • if Red does, then Red should play *, because this [[captured cell|captures]] the rest of the carrier.
    2 KB (391 words) - 00:46, 8 January 2023
  • By filling in the [[captured cell|captured]] areas, Wurfmaul's position can be further simplified to [https:
    5 KB (946 words) - 00:26, 19 April 2023
  • ...all red cells that are connected to Red's top edge. If this set contains a cell on Red's bottom edge, then Red is the winner. Otherwise, Blue has a winning ...enever Red plays in a numbered cell, Blue responds by playing in the other cell of the same number. After filling all of the cells in this way, Red cannot
    10 KB (1,737 words) - 02:19, 26 April 2024
  • ...there is an ''n'' such that for any [[Board]] of size at least ''n'' that cell is a losing [[opening|opening move]]?
    4 KB (645 words) - 02:14, 9 November 2023
  • ...]] there ''other than'' at ''*'', then Blue responding at ''*'' [[Captured cell|captures]] those 6 cells. If Red [[Intrusion|intrudes]] at ''*'' ''before' ...respond to c3 with d3. In each case, Blue will have d2 and d4 [[Captured cell|captured]] to the right edge, so Red must defend against c1. If Red does s
    34 KB (6,464 words) - 23:41, 14 February 2024
  • ...th the first rows next to each edge filled with friendly pieces and [[dead cell]]s at the vertex cells (or equivalently either red or blue pieces at any of Cells that are [[Captured cell|captured]] by one player can be filled in with stones of that player's colo
    13 KB (2,546 words) - 02:17, 9 May 2023
  • Size 7 was first solved by [[Ryan Hayward]] using [[dominated cell|domination]]. The proof tree can be found at http://www.cs.ualberta.ca/~hay ...Note this does '''not''' mean that the bot is at least 94.4% sure of each cell's outcome, only that it thinks it has a 94.4% win rate with the winning sid
    4 KB (639 words) - 14:54, 18 November 2023
  • ...pair. The player then plays as follows: whenever the opponent occupies one cell of a pair, the player occupies the other. In the bridge, there is only one pair, and if Blue plays in one cell, Red plays in the other.
    5 KB (918 words) - 00:52, 15 February 2022
  • ...tion, Black's optimal move is the same as White's optimal move, and is the cell most likely to change the outcome when the rest of the board is randomly fi
    7 KB (1,237 words) - 17:18, 7 May 2023
  • <P align=center>White cell: US player moved first<br> Grey cell: Polish player moved first<br>Result: US player\Polish player<BR><BR>
    19 KB (2,916 words) - 23:20, 31 January 2008
  • ...habet numbers, i.e., the next columns after 'z' are 'aa', 'ab', 'ac', etc. Cell names are case insensitive. Examples: <code>[a1]</code>, <code>[f6]</code>, ...iginal game. See [[conventions]] for more information on player colors and cell numbering.
    16 KB (2,720 words) - 14:16, 8 January 2023
  • * Placing a stone on an empty cell of the board.
    584 B (99 words) - 15:09, 17 November 2012
  • ...mustplay region]], computing [[captured cell]]s, and computing [[dominated cell|dominated moves]] can be used to reduce the number of moves that must be co
    1 KB (203 words) - 23:47, 25 January 2023
  • ...'E''ₙ is a semi-connection from ''x'' to ''y'', and if there is no empty cell that is common to all of their carriers, then their union forms a virtual c
    8 KB (1,312 words) - 19:01, 7 October 2023
  • Template III1-b is a 3rd row [[edge template]] with one stone. The shaded cell is not part of the template and can be occupied by Blue.
    830 B (141 words) - 05:32, 9 December 2020
  • ...n example of this is the [[useless triangle]]. If a player plays in a dead cell, the opponent does not have to respond, i.e., the situation is as if the pl ...ample of an irrelevant move is a move in a cell that is already [[captured cell|captured]] by the same player. Such moves can also be ignored by the oppone
    3 KB (503 words) - 23:36, 28 August 2022
  • ...d and blue pieces, the winner remains the same when the colour of the dead cell is changed from red to blue or vice versa. A cell that is not dead is ''alive''.
    5 KB (925 words) - 16:30, 25 May 2023
  • ...ell|dead]] and [[dominated cell|dominated]] cells with the article '''Dead Cell Analysis in Hex and the Shannon Game'''.
    765 B (112 words) - 19:21, 28 December 2020
  • On Black's turn, he or she places a black piece on an empty cell; White does the same with a white piece. * a '''ring''': a connected chain that has at least one cell (empty or not) on its interior
    2 KB (392 words) - 04:31, 12 July 2021
  • ...e: another way to explain this is that g12 dominates h11. See [[dominated cell]]).</p>
    10 KB (1,993 words) - 14:36, 11 May 2023
  • ...n further, it helps to consider [[captured cell|captured]] and [[dominated cell|dominated]] cells. In the above example, d1, e1, e7, and f7 are captured b The only empty cell in the carrier of all three threats is b5, hence Blue's mustplay region con
    14 KB (2,723 words) - 01:16, 4 October 2023
  • A single piece at a3 (or at the equivalent cell on the opposite site of the board) escapes 2nd row ladders. It can also be ...n the first example above that a single Red piece at a4 (or the equivalent cell on the opposite side of the board) can be used as a 2nd-to-4th row switchba
    17 KB (3,207 words) - 22:47, 18 March 2024
  • * E (to mark a cell as empty) * S (to mark a cell as shaded &mdash; see [[#Shading]] below)
    10 KB (1,738 words) - 04:24, 5 February 2023
  • ...t presently support, including shading cells and showing partial boards. (Cell shading seems to be particularly desired; see e.g. [[Edge templates everybo
    4 KB (712 words) - 21:17, 28 December 2020
  • ...two cells below. When red plays at the empty cell in B, it kills the blue cell to the left of it, so the result is equivalent to the result in A. ...A, the result is at least as good for blue as when blue plays at the empty cell in B. To see this, note that if blue plays at x next, it kills z, and this
    1 KB (238 words) - 02:31, 21 February 2023
  • ...vious that Blue's virtual connection requires ''n'' stones, because if any cell is left empty, Red will win in one move.
    7 KB (974 words) - 14:39, 25 January 2023
  • The shaded cell is not part of the template and can be occupied by Blue.
    888 B (158 words) - 17:32, 10 December 2020
  • The shaded cell is not part of the template; it can be occupied by Blue. ...these. The leftmost stone is already connected to the bottom by [[captured cell|capture]] and Red can always maintain its connection.
    5 KB (865 words) - 02:47, 17 October 2023
  • The shaded cell is not part of the template and can be occupied by Blue.
    733 B (130 words) - 18:38, 11 December 2020
  • Template IV2-e is a 4th row [[edge template]] with 2 stones. The shaded cell is not part of the template and can be occupied by Blue.
    660 B (114 words) - 00:45, 12 December 2023
  • ...at least two of those three are still available. Also, since d3 [[captured cell|captures]] c4 and d4, the overlap between edge template IV2d and edge templ
    2 KB (355 words) - 16:49, 10 December 2020
  • The shaded cell is not part of the template and can be occupied by Blue.
    2 KB (319 words) - 06:50, 16 December 2020

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