page_title: Infinite chess
section_title: Variations
hierarchical_section_title: Infinite chess / Variations
caption_attribution_description: English: Gameboard for the chess variant "Chess on an Infinite Plane". Markings on the board help identify the (1,1) square, and identify the ranks at which pawns promote. Image is my own work. Guard and hawk icons in the image are inspired by chess piece icons by vickalan. Other chess piece icons are free-use icons from musketeerchess.
context_page_description: Infinite chess is any variation of the game of chess played on an unbounded chessboard. Versions of infinite chess have been introduced independently by multiple players, chess theorists, and mathematicians, both as a playable game and as a model for theoretical study. It has been found that even though the board is unbounded, there are ways in which a player can win the game in a finite number of moves.
context_section_description: Chess on an infinite plane: 76 pieces are played on an unbounded chessboard. The game uses orthodox chess pieces, plus guards, hawks, and chancellors. The absence of borders makes pieces effectively less powerful (as the king and other pieces cannot be trapped in corners), so the added material helps compensate for this.
  Trappist-1: This variation uses the huygens, a chess piece that jumps prime numbers of squares, possibly preventing the game from ever being solved. This game feature excludes Trappist-1 from the proof that the mate-in-n problem is decidable.
caption: Chess on an infinite plane starting position: guards are on (1,1),(8,1),(1,8),(8,8); hawks are on (−2,−6),(11,−6),(−2,15),(11,15); chancellors are on (0,1), (9,1), (0,8), (9,8)
exif: {}