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- {{Short description|Generalization of the game Tic-tac-toe to higher dimensions}} ...re ''n'' equals 3 and ''d'' equals 2 (3, 2).<ref name=":2" /> [[3D tic-tac-toe|Qubic]] is the {{nowrap|(4, 3)}} game.<ref name=":2" /> The {{nowrap|(''n'' ...4 KB (536 words) - 04:42, 4 April 2024
- ...sitions are taken and no player wins, then it is a draw. Classic [[Tic-tac-toe]] is an example of a strong positional game. ...thor2=Eric Sundberg|year=2010|title=Potential-based strategies for tic-tac-toe on the integer latticed with numerous directions|journal=[[The Electronic J ...5 KB (755 words) - 13:35, 14 April 2024
- ...natorial Games: Tic-Tac-Toe Theory|title-link=Combinatorial Games: Tic-Tac-Toe Theory|last1=Beck|first1=József|date=2008|publisher=Cambridge University Pr The classic example of a positional game is [[tic-tac-toe]]. In it, <math>X</math> contains the 9 squares of the game-board, <math>\m ...6 KB (940 words) - 14:32, 26 November 2024
- ...lines form seven of the eight lines of three cells in a row of the tic-tac-toe board; for instance, the one-parameter word <math>2*</math> corresponds to ...>*</math>; its combinatorial line is the final winning line of the tic-tac-toe board, {{nowrap|<math>\{13, 22, 31\}</math>.{{r|hjt}}}} ...12 KB (1,775 words) - 16:46, 27 April 2022
- ...</math>-coordinate be chosen freely. The two diagonal lines of the tic-tac-toe board can be specified by a parameter word with two wildcard characters tha ...Theorem" (pp. 41–51, {{doi|10.1007/978-3-319-01315-2_4}}) for the tic-tac-toe example, and chapter 5 "Graham–Rothschild’s Theorem" (pp. 53–59, {{doi|10.1 ...9 KB (1,322 words) - 18:36, 8 December 2024
- ...in the Maker-Breaker variant. For example, consider a variant of [[tic-tac-toe]] in which Maker wins by taking ''k'' squares in a row and Breaker wins by ...5 KB (719 words) - 01:04, 21 February 2023
- ...igned to play human opponents in games of [[noughts and crosses]] (tic-tac-toe) by returning a move for any given state of play and to refine its strategy ...eb/20210515182903/https://opendatascience.com/menace-donald-michie-tic-tac-toe-machine-learning/|url-status=live}}</ref> ...24 KB (3,391 words) - 22:08, 8 February 2025
- ...[game theory]], that generalizes the idea of an ordinary game like tic-tac-toe (noughts and crosses) or checkers (draughts). In other words, it extends th ...10 KB (1,619 words) - 19:02, 5 August 2024
- ...ess-date=23 December 2013}}</ref> He experimented in-depth with [[tic-tac-toe]] and then with machine-generated evaluation functions for [[Reversi|Othell ...e:Tic-tac-toe-RAVE-English.svg|frame|center|RAVE on the example of tic-tac-toe. In red nodes, the RAVE statistics will be updated after the b1-a2-b3 simul ...38 KB (5,637 words) - 08:40, 30 December 2024
- '''[[Tic-tac-toe]]''' can be played as a Maker-Breaker game: in that variant, the goal of Ma ...21 KB (3,353 words) - 15:14, 4 October 2024