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=== Non-rectangular board === [[File:Rundskak foto.jpg|thumb|upright=1.2|[[Circular chess]] ]] [[File:Infinite chess.png|thumb|upright=1.2|'''[[Infinite chess]]'''. One example with pieces in their standard positions.<ref name="PBS">[https://www.youtube.com/watch?v=PN-I6u-AxMg "Infinite Chess, PBS Infinite Series"] {{Webarchive|url=https://web.archive.org/web/20170407211614/https://www.youtube.com/watch?v=PN-I6u-AxMg |date=2017-04-07 }} PBS Infinite Series, with academic citations including "''Transfinite game values in infinite chess''" (2013)</ref>]] [[File:Masonic Chess gameboard and init config - alt framing.PNG|thumb|upright=1.2|'''[[Masonic Chess]]''' by George Dekle Sr.]] [[File:Rhombic Chess gameboard and starting position.png|thumb|upright=1.2|'''[[Rhombic Chess]]''' by Tony Paletta]] In this category, the movement of pieces can be modified in concurrence with the geometry of the board.<ref name=":1">{{cite magazine |last1=Jelliss |first1=G. P. |title=Reshaping the Chessboard |publisher=[[British Chess Variants Society]] |magazine=[[Variant Chess]] |date=Autumn 1997 |volume=3 |issue=25 |pages=92–93 |issn=0958-8248 }}</ref> ==== Hexagonal spaces ==== {{main|Hexagonal Chess}} * '''Baskerville's hexagonal chess''': Earliest attempt at a strict hexagonal analog to chess. 83 cell hex board with four corners. Same as '''Gliński's Hexagonal Chess''', but no special pawn moves or hex diagonal king moves. Opposing bishops occupy differently colored spaces, thus preventing them from attacking each other. By H. D. Baskerville (1929). * '''[[Brusky's hexagonal chess]]''': Chess on an irregular board of 84 hex cells. Same as '''Gliński's Hexagonal Chess''', but with ten pawns instead of nine, linear startup, two forward move directions for pawns, pawns capture forward diagonally, and castling. By Yakov Brusky (1966). * '''[[Hexagonal chess#De Vasa's hexagonal chess|De Vasa's hexagonal chess]]''': Chess on a rhombus-shaped board of 81 hex cells. Same as '''Gliński's Hexagonal Chess''', but linear startup, two forward move directions for pawns, pawns capture forward diagonally to the side, and castling. Invented by Helge E. de Vasa (1953). * '''[[Gliński's hexagonal chess]]''': The most popular version of chess for the hex board. Includes three bishops, nine pawns, 91 hex cells. Invented by Władysław Gliński (1936). * '''[[McCooey's hexagonal chess]]''': Chess on the same hexagonal board as Gliński's Hexagonal Chess, but using a different starting array, seven pawns instead of nine, and pawns capture forward diagonally. By Richard Honeycutt and David McCooey (1978–1979). * '''[[Hexagonal chess#Starchess|Polgar Superstar Chess]]''': Hexagonal variant played on a special star-shaped board. Invented by [[László Polgár]] (2002).<ref>''[http://www.mayhematics.com/v/vol8/vc61.pdf Variant Chess] {{Webarchive|url=https://web.archive.org/web/20110714054644/http://www.mayhematics.com/v/vol8/vc61.pdf |date=2011-07-14 }}'', Vol 8, Issue 61</ref><ref>{{Cite web|url=http://polgarstarchess.blogspot.com/search/label/Patent|title=Polgar Superstar Chess Patent|date=March 6, 2009|access-date=February 24, 2011|archive-date=November 6, 2018|archive-url=https://web.archive.org/web/20181106235135/http://polgarstarchess.blogspot.com/search/label/Patent|url-status=live}}</ref> * '''[[Shafran's hexagonal chess]]''': Chess on an irregular hex board of 70 cells. Same as '''Gliński's Hexagonal Chess''', but differs by starting position, pawn first-move options, pawns capturing forward diagonally, and castling. Invented by Grigorevich Shafran (1939). * '''Strozewski's hexagonal chess''': Chess on a square-shaped board of 81 hex cells. King and Knight move as if cells were squares. Invented by Casimir S. Strozewski (1976). * '''{{vanchor|Troy}}''': A variant inspired by the [[Trojan War]] played on a 91-cell hexagonal board. Pieces are named after characters from the myth.{{sfnp|Pritchard|2007|p=206|ps=}} ==== Triangular spaces ==== * '''[[Tri-Chess (2-player)|Tri-Chess]]''': A variation of Triangular Chess. The rook and bishop are increased to six directions; the queen, to twelve. By George Dekle Sr. * '''[[Triangular Chess]]''': Board comprises 96 triangles. The rook and bishop have three directions; the queen, six. Three extra pawns and a unicorn. By George Dekle Sr. ==== Other 2D layouts ==== * '''[[Balbo's Game]]''': A novel-shaped board with 70 squares. Full armies for each player, minus one pawn. No castling. By G. Balbo (1974). * '''[[Chessence]]''': Nine pieces per player move according to their relative positions to each other on a 6×9 board with missing squares and kings immobile in the corners. By Jim Winslow (1989). * '''[[Circular chess]]''': Played on a circular board consisting of four rings, each of sixteen squares. * '''[[Cross chess]]''': Cross-shaped cells, board geometry like hex chess but moves akin to normal chess (e.g. bishops have four directions, not six; queens eight, not twelve). Extra rook, knight, and pawn per side. By George Dekle Sr. * '''[[Cylinder chess]]''': Played on a cylinder board with a- and h-files "connected". Thus a player can use them as if the a-file were next to the h-file (and vice versa). * '''[[Infinite chess]]''': Numerous players and mathematicians have conceived of chess variations played on an unbounded chessboard.<ref name="PBS"/> In one example, when using "Converse's rules," the pieces and their relative starting positions are unchanged—only the board is infinitely large.<ref name="IC">[http://www.chessvariants.com/boardrules.dir/infinite.html Infinite Chess] {{Webarchive|url=https://web.archive.org/web/20170402082426/http://www.chessvariants.com/boardrules.dir/infinite.html |date=2017-04-02 }} at ''The Chess Variant Pages''. An infinite chess scheme represented using ASCII characters.</ref> * '''[[Masonic Chess]]''': Every other board rank is indented. Same as chess, with moves adapted to the new brickwork-like board. By George Dekle Sr. * '''[[Omega chess]]''': On a 10×10 board with four extra squares, one per corner. Includes the champion and wizard fairy pieces. Both are leapers, with different ways of leaping. * '''[[Rhombic Chess]]''': Uses a hex-shaped board comprising 72 rhombus cells. Normal set of chess pieces move ''edgewise'' or ''pointwise''. Checkmate objective as usual. By Tony Paletta (1980). * '''[[Rollerball (chess variant)|Rollerball]]''': Inspired by the sci-fi film of the same name, pieces move clockwise around a Roller Derby-like track. By Jean-Louis Cazaux (1998). * '''[[Spherical chess]]''' [multivariant]: A family of variants played on a chessboard wrapped around a sphere. The a- and h-files are adjacent. The poles are circular or octagonal and may or may not be occupied according to the variant. There are no board edges, so kings always have eight adjacent squares. Trans-polar diagonal moves mostly differentiate between variants.{{sfnp|Pritchard|2007|p=223|ps=}}{{sfnp|Pritchard|1994|pp=285–86|ps=}} *'''Thrones Chess''':{{citation needed|date=July 2023|reason=Current citation is a dead link.}} Uses a board that combines a circular component and a square component, which allows long-range pieces to attack from three sides. The board is divided into two castles and a battlefield. A piece cannot cross more than two castle walls in the same move, and a king in check may not leave a castle except to capture the piece giving check. Knights have additional non-capturing moves. By Richard Van de Venter (1999). [[File:Thrones Chess initial setup.png|alt=|thumb|Thrones Chess, initial setup with the classic chess pieces. Free squares may be filled by additional classic or fairy chess pieces.]] * '''Zonal chess''': Board has triangular wings or "zones" on either side of the main 8×8 board. Queens, bishops, and rooks that start from one of the squares in either zone may change direction and keep going on the same move. A queen, for example, could zig around an obstruction and attack a piece in the opposite zone. The power to change direction only applies when a piece's move starts from a zonal area. It is possible (using the queen and rook) to cross the board from one zone to another, but any piece entering a zone cannot make use of the extended move.<ref>[http://www.chessvariants.org/shape.dir/zonal/zonal.html "Zonal Chess"] {{Webarchive|url=https://web.archive.org/web/20060306034211/http://www.chessvariants.org/shape.dir/zonal/zonal.html |date=2006-03-06 }} by Larry Smith, ''[[The Chess Variant Pages]]''</ref> ==== Higher dimensional boards ==== [[File:Parallel Worlds Chess init config.png|right|upright 1.3|thumb|[[Parallel Worlds Chess]], a 3D variant]] {{Main|Three-dimensional chess}} A number of variants have been developed where the playing area is in three [[dimension]]s or more. In most cases an extra spatial dimension is represented by multiple boards being laid next to each other. Some extra-dimensional variants attempt to reflect the 3D nature of modern warfare (e.g. ''[[Raumschach]]'', designed to reflect [[Aerial warfare|aerial]] and [[submarine warfare]]), while others incorporate fantasy or science fiction ideas such as [[Multiverse|parallel worlds]] and [[time travel]].<ref>{{Cite web|title=5D Chess With Multiverse Time Travel Press Kit|url=https://www.5dchesswithmultiversetimetravel.com/presskit.html|access-date=2020-07-27|website=5dchesswithmultiversetimetravel.com|archive-date=2020-07-27|archive-url=https://web.archive.org/web/20200727222326/https://www.5dchesswithmultiversetimetravel.com/presskit.html|url-status=live}}</ref><ref>Prichard (2007) p. 226</ref> An example of the latter is the variant introduced by the 2020 computer game ''[[5D Chess With Multiverse Time Travel|5D Chess with Multiverse Time Travel]]'', which uses a varying number of boards all being played in parallel. {{clear left}} *'''''[[5D Chess with Multiverse Time Travel]]''''': Players can move their pieces through time and between timelines, interacting with the board as it existed earlier in the game, creating alternate timelines which pieces can be moved between. The game is won if at least one king from any time and timeline is in checkmate.<ref>{{Cite web|last=Livingston|first=Christopher|date=2020-07-27|title=If regular chess isn't hard enough for you, try 5D Chess With Multiverse Time Travel|url=https://www.pcgamer.com/if-regular-chess-isnt-hard-enough-for-you-try-5d-chess-with-multiverse-time-travel/|access-date=2021-06-09|website=PC Gamer|archive-date=2020-08-04|archive-url=https://web.archive.org/web/20200804032348/https://www.pcgamer.com/if-regular-chess-isnt-hard-enough-for-you-try-5d-chess-with-multiverse-time-travel/|url-status=live}}</ref> * '''Flying chess''': Played on a board of 8×8×2, giving a total of 128 cells. Only certain pieces can move to and from the additional level.{{sfnp|Pritchard|2007|p=226|ps=}} * '''[[Parallel Worlds Chess]]''': A 3D variant using three boards, each player commands two armies, capturing either enemy king wins. The middle board is a sort of "twilight zone" obeying its own rules. By R. Wayne Schmittberger (1980s). ==== Multiple boards ==== * '''[[Alice Chess]]''': Played with two boards: a piece moved on one board passes "through the looking glass" onto the other board. By [[V. R. Parton]] (1953). * '''[[Chesquerque]]''': Played on four [[Alquerque]] boards combined. Includes an extra pawn and [[Princess (chess)|archbishop]] per side. By George Dekle Sr. * '''Regimental Chess''': This variant is played on 1-6 adjacent 12×16 boards, with one white and black division for each board signified by accent colours. Each division starts with 14 infantrymen, similar to pawns but only moving one space at a time straight or diagonally forward until promoted to move one space in any direction, four bishops, four knights, four rooks, two queens and one king, and players may place their pieces into their own formation before the game starts. When a division's king is captured, all other pieces from that division are removed from the battlefield. Pieces can move together as formations, which are connected by any compatible pieces that are adjacent or mutually supportive with one another, and capture pieces by broadsiding with walls of pieces or piercing inferior ranks with superior firepower. Pieces are mutually supportive if they are identical and are within reach of their move style; for example, two bishops are mutually supportive if they are on an adjacent diagonal path unobstructed by other pieces.<ref>[https://store.steampowered.com/app/362400/Regimental_Chess/ Regimental Chess on Steam] {{Webarchive|url=https://web.archive.org/web/20220410002434/https://store.steampowered.com/app/362400/Regimental_Chess/ |date=2022-04-10 }}, [https://youtube.com/user/regimentalchess YouTube channel for Regimental Chess] {{Webarchive|url=https://web.archive.org/web/20220410002434/https://www.youtube.com/user/regimentalchess |date=2022-04-10 }}</ref>
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