無限チェス

索引トップ用語の索引ランキングカテゴリー

出典: フリー百科事典『ウィキペディア（Wikipedia）』 (2024/02/26 05:08 UTC 版)

無限チェスは、無限に広いチェス盤で行われるチェスである。プレイするためのゲーム・理論の両面で、プレイヤー・チェス理論家・数学者によって独立して導入され、複数のパターンが存在する。チェス盤が無限に広い場合でも、有限手数でプレイヤーが勝つ場合があることが示されている。

脚注

注釈

^ This game feature excludes Trappist-1 from the mathematical conclusion of decidability.^[10]^[11]

出典

^ boardgamegeek/taikyoku-shogi boardgamegeek/taikyoku-shogi.
^ chessvariants.com/taikyoku-shogi chessvariants.com/taikyoku-shogi.
^ abstractstrategygames/ultimate-battle-chess.html abstractstrategygames/ultimate-battle-chess.
^ history.chess.taishogi history.chess/taishogi.
^ Infinite Chess at The Chess Variant Pages. An infinite chess scheme represented using ASCII characters.
^ "Infinite Chess, PBS Infinite Series" PBS Infinite Series, with academic sources by J. Hamkins (infinite chess: https://arxiv.org/abs/1302.4377 and https://arxiv.org/abs/1510.08155).
^ Aviezri Fraenkel; D. Lichtenstein (1981), “Computing a perfect strategy for n×n chess requires time exponential in n”, J. Combin. Theory Ser. A 31 (2): 199–214, doi:10.1016/0097-3165(81)90016-9
^ Transfinite Game Values in Infinite Chess) Transfinite Game Values in Infinite Chess, 2014, (C.D.A. Evans, Joel Hamkins).
^ "A position in infinite chess with game value w^4" Transfinite game values in infinite chess, January 2017; A position in infinite chess with game value w^4, October 2015; An introduction to the theory of infinite games, with examples from infinite chess, November 2014; The theory of infinite games: how to play infinite chess and win, August 2014; and other academic papers by Joel Hamkins.
^ ^a ^b Mathoverflow.net/Decidability-of-chess-on-an-infinite-board Decidability-of-chess-on-an-infinite-board
^ ^a ^b ^c Dan Brumleve, Joel David Hamkins, Philipp Schlicht, The Mate-in-n Problem of Infinite Chess Is Decidable, Lecture Notes in Computer Science, Volume 7318, 2012, pp. 78-88, Springer [1], available at arXiv.
^ Chess on an infinite plane game rules.
^ 『I Made Chess, but It's Infinite』。2023年6月8日閲覧。
^ “Infinite Chess | Home - The Official Website”. www.infinitechess.org. 2023年6月8日閲覧。
^ Trappist-1 game rules