Movatterモバイル変換


[0]ホーム

URL:


Jump to content
WikipediaThe Free Encyclopedia
Search

Reversi

From Wikipedia, the free encyclopedia
Strategy board game
This article is about the board game. For the card game, seeReversis.

This article includes a list ofgeneral references, butit lacks sufficient correspondinginline citations. Please help toimprove this article byintroducing more precise citations.(September 2023) (Learn how and when to remove this message)
Reversi
Othello, a modern variation ofReversi. A semi-transparent hand indicates a possible move by the player with the black pieces.
Years active1883; 142 years ago (1883)
(or earlier)—present
Genres
Players2
Setup time< 10 seconds
Playing time1–60 minutes
ChanceNone
Age range8+
SkillsStrategy, tactics, observation
SynonymsOthello

Reversi is astrategyboard game for two players, played on an 8×8 uncheckered board. It was invented in 1883.Othello, a variant with a fixed initial setup of the board, was patented in 1971.

Basics

[edit]

Two players compete, using 64 identical game pieces ("disks") that are light on one side and dark on the other. Each player chooses one color to use throughout the game. Players take turns placing one disk on an empty square, with their assigned color facing up. After a play is made, any disks of the opponent's color that lie in a straight line bounded by the one just played and another one in the current player's color are turned over. When all playable empty squares are filled, the player with more disks showing in their own color wins the game.

History

[edit]
Othello was one ofNintendo's first arcade games, and it was laterported to adedicated home game console in 1980.

Original version

[edit]

Englishmen Lewis Waterman and John W. Mollett[citation needed] both claim to have invented the game of reversi in 1883, each denouncing the other as a fraud. The game gained considerable popularity in England at the end of the 19th century.[1] The game's first reliable mention is in the 21 August 1886 edition ofThe Saturday Review. Later mention includes an 1895 article inThe New York Times, which describes reversi as "something likeGo Bang, [...] played with 64 pieces."[2] In 1893, the German games publisherRavensburger started producing the game as one of its first titles. Two 18th century continental European books dealing with a game that may or may not be reversi are mentioned on page fourteen of the Spring 1989Othello Quarterly, and there has been speculation, so far without documentation, that the game has older origins.[citation needed]

A Japanese publication in 1907 titledWorld Games Rules Complete Collection (世界遊戯法大全) describes the board game reversi with the same rules asOthello where the first four pieces go in the center in a diagonal pattern and the player who cannot make a move simply passes.[3]

Othello

[edit]
A modern plasticOthello set

The modern version of the game—the most regularly used rule-set, and the one used in international tournaments—is marketed and recognized asOthello (オセロ,osero). It was patented in Japan in 1971 byGoro Hasegawa (legal name: Satoshi Hasegawa), then a 38-year-old salesman.[4][5] Hasegawa initially explained thatOthello was an improvement on reversi,[6] but from around 2000, he began to claim that he invented it inMito regardless of reversi.[7] Hasegawa also claimed that the origin of reversi/Othello dates back 5,000 years.[8]

Hasegawa established the Japan Othello Association in March 1973, and held the first nationalOthello championship on 4 April 1973 in Japan.[9] The Japanese game company Tsukuda Original launchedOthello in late April 1973 in Japan under Hasegawa's license, which led to an immediate commercial success.[10][11][12][13][14]

The name was selected by Hasegawa[14] as a reference to theShakespearean playOthello, the Moor of Venice, referring to the conflict between theMoorOthello andIago, and to the unfolding drama between Othello, who is black, andDesdemona, who is white. The green color of the board is inspired by the image of the general Othello, valiantly leading his battle in a green field. It can also be likened to ajealousy competition (jealousy being the central theme in Shakespeare's play, which popularized the term "green-eyed monster"), since players engulf the pieces of the opponent, thereby turning them to their possession.[15]

Othello was first launched in the U.S. in 1975 by Gabriel Industries and it also enjoyed commercial success there. Sales have reportedly exceeded $600 million. More than 40 million classic games have been sold in over 100 countries.

Hasegawa'sHow to play Othello (Osero No Uchikata) in Japan in 1974, was published in 1977 in an English translation entitledHow to Win at Othello.[16]

Kabushiki Kaisha Othello, which was owned by Hasegawa, registered the trademark "OTHELLO" for board games in Japan; Tsukuda Original registered the trademark in the rest of the world. All intellectual property regardingOthello outside Japan is now owned by MegaHouse, the Japanese toy company that acquired Tsukuda Original's successor PalBox.[17]

Rules

[edit]

Each of the disks' two sides corresponds to one player; they are referred to here aslight anddark after the sides ofOthello pieces, but any counters with distinctive faces are suitable. The game may for example be played with a chessboard andScrabble pieces, with one playerletters and the otherbacks.

The historical version of reversi starts with an empty board, and the first two moves made by each player are in the four central squares of the board. The players place their disks alternately with their colors facing up and no captures are made. A player may choose to not play both pieces on the same diagonal, different from the standardOthello opening. It is also possible to play variants of Reversi andOthello where the second player's second move may or must flip one of the opposite-colored disks (as variants closest to the normal games).

For the specific game ofOthello, the game begins with four disks placed in a square in the middle of the grid, two facing light-side-up, two dark-side-up, so that the same-colored disks are on a diagonal. Convention has this such that the dark-side-up disks are to the north-east and south-west (from both players' perspectives), though this is only marginally consequential: where sequential openings' memorization is preferred, such players benefit from this. The dark player moves first.

abcdefgh
1a1b1c1d1e1f1g1h11
2a2b2c2d2e2f2g2h22
3a3b3c3d3e3f3g3h33
4a4b4c4d4Oe4Xf4g4h44
5a5b5c5d5Xe5Of5g5h55
6a6b6c6d6e6f6g6h66
7a7b7c7d7e7f7g7h77
8a8b8c8d8e8f8g8h88
abcdefgh
Starting position

Dark must place a piece (dark-side-up) on the board and so that there exists at least one straight (horizontal, vertical, or diagonal) occupied line between the new piece and another dark piece, with one or more contiguous light pieces between them. For move one, dark has four options shown by translucently drawn pieces below:

abcdefgh
1a1b1c1d1e1f1g1h11
2a2b2c2d2e2f2g2h22
3a3b3c3d3xe3f3g3h33
4a4b4c4xd4Oe4Xf4g4h44
5a5b5c5d5Xe5Of5xg5h55
6a6b6c6d6e6xf6g6h66
7a7b7c7d7e7f7g7h77
8a8b8c8d8e8f8g8h88
abcdefgh
Where dark may play

Play always alternates unless one player has no legal move, in which case they pass. After placing a dark disk, dark turns over (flips to dark, captures) the single disk (or chain of light disks) on the line between the new piece and an anchoring dark piece. Multiple chains of disks may be captured in a single move. No player can look back to the previous status of disks when playing moves. A valid move is one where at least one piece is reversed (flipped over).

If dark decided to put a piece in the topmost location (all choices are strategically equivalent at this time), one piece gets turned over, so that the board appears thus:

abcdefgh
1a1b1c1d1e1f1g1h11
2a2b2c2d2e2f2g2h22
3a3b3c3d3Xe3f3g3h33
4a4b4c4d4Xe4Xf4g4h44
5a5b5c5d5Xe5Of5g5h55
6a6b6c6d6e6f6g6h66
7a7b7c7d7e7f7g7h77
8a8b8c8d8e8f8g8h88
abcdefgh
After dark play

Now light plays. This player operates under the same rules, with the roles reversed: light lays down a light piece, causing a dark piece to flip. Possibilities at this time appear thus (indicated by transparent pieces):

abcdefgh
1a1b1c1d1e1f1g1h11
2a2b2c2d2e2f2g2h22
3a3b3c3od3Xe3of3g3h33
4a4b4c4d4Xe4Xf4g4h44
5a5b5c5od5Xe5Of5g5h55
6a6b6c6d6e6f6g6h66
7a7b7c7d7e7f7g7h77
8a8b8c8d8e8f8g8h88
abcdefgh
Where light may play

Light takes the bottom left option and reverses one piece:

abcdefgh
1a1b1c1d1e1f1g1h11
2a2b2c2d2e2f2g2h22
3a3b3c3d3Xe3f3g3h33
4a4b4c4d4Xe4Xf4g4h44
5a5b5c5Od5Oe5Of5g5h55
6a6b6c6d6e6f6g6h66
7a7b7c7d7e7f7g7h77
8a8b8c8d8e8f8g8h88
abcdefgh
After light play

Players take alternate turns. If one player cannot make a valid move, play passes back to the other player. The game ends when the grid has filled up or if neither player can make a valid move.

Examples where the game ends before the grid is completely filled:

abcdefgh
1a1Ob1Oc1Od1Oe1Of1Og1Oh1O1
2a2Ob2Oc2Od2Oe2Of2Og2Oh2O2
3a3Ob3Oc3Od3Oe3Of3Og3Oh3O3
4a4Ob4Oc4Od4Oe4Of4Og4Oh44
5a5Ob5Oc5Od5Oe5Of5Og5h55
6a6Ob6Oc6Od6Oe6Of6Og6h6X6
7a7Ob7Oc7Od7Oe7Of7Og7Oh77
8a8Ob8Oc8Od8Oe8Of8Og8Oh8O8
abcdefgh
Vlasáková 1 – 63 Schotte (European Grand Prix Prague 2011)
abcdefgh
1a1b1Xc1Xd1Xe1Xf1Xg1Xh1X1
2a2b2Oc2Od2Oe2Of2Og2h2X2
3a3Ob3Oc3Od3Oe3Of3Og3Oh3X3
4a4Ob4Oc4Od4Oe4Of4Og4Oh4X4
5a5Ob5Oc5Od5Oe5Of5Og5Oh5X5
6a6Ob6Oc6Od6Oe6Of6Og6Oh6X6
7a7Ob7Oc7Od7Oe7Of7Og7Oh7X7
8a8b8Oc8Od8Oe8Of8Og8h88
abcdefgh
Vecchi 13 – 51 Nicolas (World Othello Championship 2017, Ghent)
abcdefgh
1a1b1c1d1e1Of1g1h11
2a2b2c2d2e2Of2Og2h22
3a3Ob3Oc3Od3Oe3Of3Og3Oh3X3
4a4b4c4Od4Oe4Of4Og4h4X4
5a5b5c5Od5Oe5Of5g5h5X5
6a6b6c6d6e6f6g6h66
7a7b7c7d7e7f7g7h77
8a8b8c8d8e8f8g8h88
abcdefgh
Hassan 3 – 61 Verstuyft J. (European Grand Prix Ghent 2017)

The player with the most pieces on the board at the end of the game wins. The game is scored by counting the number of discs in each player's color. If the game ended before the grid was completely filled, any empty squares are scored for the winner.[18] However, if one player defaults by running out of time, that player's opponent wins regardless of the board configuration. There are varying methods to determine the official score when a player defaults.

In common practice over the Internet, opponents agree upon a time-control of, typically, from one to thirty minutes per game per player. Standard time control in the World Championship is thirty minutes, and this or something close to it is common in over-the-board (as opposed to internet) tournament play generally. In time-defaulted games, where disk differential is used for tie-breaks in tournaments or for rating purposes, one common over-the-board procedure for the winner of defaulted contests to complete both sides' moves with the greater of the result thereby or one disk difference in the winner's favor being the recorded score. Games in which both players have the same number of disks their color at the end (almost always with a full-board 32–32 score) are not very common, but also not rare, and these are designated as 'ties' and scored as half of a win for each player in tournaments. The term 'draw' for such may also be heard, but is somewhat frowned upon.

What are generally referred to astranscript sheets are generally in use in tournament over-the-board play, with both players obligated to record their game's moves by placing the number of each move in an 8×8 grid. This both enables players to look up past games of note and tournament directors and players to resolve disputes (according to whatever specific rules are in place) where claims that an illegal move, flip or other anomaly are voiced. An alternative recording method not requiring a grid is also in use, where positions on a board are labeled left to right by lettersa throughh and top to bottom by digits1 through8. Note that the numbers run in the opposite direction tothe chess standard, and that the perspective may be that of either player (with no fixed standard). This alternate notational scheme is used primarily in verbal discussions or where a linear representation is desirable in print, but may also be permissible as during-game transcription by either or both players.

Tournament over-the-board play has various ways of handling illegal moves and incorrect flips. For example, one procedure that has been used is to permit either player to make corrections going back some fixed number of moves.

Anti-Reversi

[edit]

Anti-Reversi orReversed Reversi is a variant of the game where the player wins who hasfewer own-colored disks at the end of the game; draw is also a possible result.[19] To put a disk on the board, the same rules apply as in normal reversi.

Brightwell Quotient

[edit]

Invented by the British mathematician and three times runner-up at the World Championship and five times British ChampionGraham Brightwell, this is the tie-breaker that is now used in many tournaments including the W.O.C. If two players have the same number of points in the thirteen-round W.O.C. Swiss, the tie is resolved in favour of the player with the higher Brightwell Quotient.[citation needed]

The Brightwell Quotient (BQ) is calculated as follows:[20]

  1. A constantc is calculated. It is the integer nearest to (number of squares on the board) divided by (number of rounds in the tournament).
  2. If any of the player's opponents have withdrawn in the course of the tournament, or if a player has been paired againstbye, ignore such games for the moment.
  3. Calculate the total number of disks scored by the player in all games not covered by step 2 and addc times the sum of points scored by all of the player's opponents, except those who have withdrawn.
  4. For each game against an opponent who has withdrawn, and each bye received, add half the number of squares on the board plus (c times the player's own tournament score) to the result calculated in step 3. The number resulting is the player's BQ.

Computer opponents and research

[edit]
Main article:Computer Othello

GoodOthello computer programs play very strongly against human opponents. This is mostly due to difficulties in human look-ahead peculiar to Othello: The interchangeability of the disks and therefore apparent strategic meaninglessness (as opposed tochess pieces for example) makes an evaluation of different moves much harder. This can be demonstrated with blindfold games, as the memorization of the board demands much more dedication from the players than inblindfold chess.

The first tournament pittingOthello computer programs against human opponents took place in 1980. In it, then world champion Hiroshi Inoue, although he would go on to win the tournament, lost a game against the computer programThe Moor. In 1997, the computerOthello programLogistello defeated the reigning human champion,Takeshi Murakami, six games to zero.[21]

Analysts have estimated the number of legal positions inOthello is at most 1028, and it has agame-tree complexity of approximately 1058.[22] Mathematically, Othello is solved up to 8x8 board. On 4×4 and 6×6 boards under perfect play, the second player wins.[23] On 8x8 board, the game results in draw under perfect play, according to anarXiv paper.[24] The first of theseproofs is relativelytrivial, the second dates to around 1990, and the last one was done in 2023. Whengeneralizing the game to play on ann×n board, the problem of determining if the first player has a winning move in a given position isPSPACE-complete.[25]

World Othello Championship

[edit]

TheWorld Othello Championship (WOC), which started in 1977, was first organized by the Japan Othello Association. From 1978 until 2004, the World Othello Championship was organized by the Othello TD group and Anjar Co. In 2005, the World Othello Federation took over the responsibility for the WOC.

From 1977 to 1986, each country could send one player to participate in the WOC. From 1987, each country could send up to three players to participate. In 1987, the title WOC team championship started. In 2005, a female championship category was added to the WOC. From 2006, each World Othello Federation member could send a full team of up to four players. In 2016, a youth champion title was added to the WOC.[26] The WOC was cancelled in 2020 and 2021 due to theCOVID-19 pandemic.

YearLocationWorld ChampionTeamRunner-upFemale ChampionYouth Champion
1977TokyoJapan Hiroshi InoueN/ANorway Thomas HeibergN/AN/A
1978New York CityJapan Hidenori MaruokaN/AUnited States Carol JacobsN/AN/A
1979RomeJapan Hiroshi InoueN/AUnited States Jonathan CerfN/AN/A
1980LondonUnited States Jonathan CerfN/AJapan Takuya MimuraN/AN/A
1981BrusselsJapan Hidenori MaruokaN/AUnited States Brian RoseN/AN/A
1982StockholmJapan Kunihiko TanidaN/AUnited States David ShamanN/AN/A
1983ParisJapan Ken'Ichi IshiiN/AUnited KingdomImre LeaderN/AN/A
1984MelbourneFrance Paul RalleN/AJapan Ryoichi TaniguchiN/AN/A
1985AthensJapan Masaki TakizawaN/AItaly Paolo GhirardatoN/AN/A
1986TokyoJapan Hideshi TamenoriN/AFrance Paul RalleN/AN/A
1987MilanJapan Ken'Ichi IshiiUnited States United StatesFrance Paul RalleN/AN/A
1988ParisJapan Hideshi TamenoriUnited Kingdom United KingdomUnited KingdomGraham BrightwellN/AN/A
1989WarsawJapan Hideshi TamenoriUnited Kingdom United KingdomUnited Kingdom Graham BrightwellN/AN/A
1990StockholmJapan Hideshi TamenoriFrance FranceFrance Didier PiauN/AN/A
1991New York CityJapan Shigeru KanedaUnited States United StatesFrance Paul RalleN/AN/A
1992BarcelonaFrance Marc TastetUnited Kingdom United KingdomUnited Kingdom David ShamanN/AN/A
1993LondonUnited States David ShamanUnited States United StatesFrance Emmanuel CaspardN/AN/A
1994ParisJapan Masaki TakizawaFrance FranceDenmark Karsten FeldborgN/AN/A
1995MelbourneJapan Hideshi TamenoriUnited States United StatesUnited States David ShamanN/AN/A
1996TokyoJapan Takeshi MurakamiUnited Kingdom United KingdomFrance Stéphane NicoletN/AN/A
1997AthensJapan Makoto SuekuniUnited Kingdom United KingdomUnited Kingdom Graham BrightwellN/AN/A
1998BarcelonaJapan Takeshi MurakamiFrance FranceFrance Emmanuel CaspardN/AN/A
1999MilanNetherlands David ShamanJapan JapanJapan Tetsuya NakajimaN/AN/A
2000CopenhagenJapan Takeshi MurakamiUnited States United StatesUnited States Brian RoseN/AN/A
2001New York CityUnited States Brian RoseUnited States United StatesUnited States Raphael SchreiberN/AN/A
2002AmsterdamNetherlands David ShamanUnited States United StatesUnited States Ben SeeleyN/AN/A
2003StockholmUnited States Ben SeeleyJapan JapanJapan Makoto SuekuniN/AN/A
2004LondonUnited States Ben SeeleyUnited States United StatesJapan Makoto SuekuniN/AN/A
2005ReykjavíkJapan Hideshi TamenoriJapan JapanSouth Korea Kwangwook LeeJapan Hisako KinoshitaN/A
2006MitoJapan Hideshi TamenoriJapan JapanSingapore Makoto Suekuni[27]Japan Toshimi TsujiN/A
2007AthensJapan Kenta TominagaJapan JapanFrance Stéphane NicoletJapan Yukiko TatsumiN/A
2008OsloItaly Michele BorassiJapan JapanJapan Tamaki MiyaokaGermany Liya YeN/A
2009GhentJapan Yusuke TakanashiJapan JapanGermany Matthias BergJapan Mei UrashimaN/A
2010RomeJapan Yusuke TakanashiJapan JapanItaly Michele BorassiNetherlands Jiska HelmesN/A
2011NewarkJapan Hiroki NobukawaJapan JapanThailand Piyanat AunchuleeUnited States Jian CaiN/A
2012LeeuwardenJapan Yusuke TakanashiJapan JapanJapan Kazuki OkamotoSweden Veronica StenbergN/A
2013StockholmJapan Kazuki OkamotoJapan JapanThailand Piyanat AunchuleeFinland Katie WuN/A
2014BangkokJapan Makoto SuekuniJapan JapanUnited States Ben SeeleyAustralia Joanna WilliamN/A
2015CambridgeJapan Yusuke TakanashiJapan JapanJapan Makoto SuekuniUnited States Yoko Sano RoseN/A
2016MitoThailand Piyanat AunchuleeJapan JapanChina Yan SongChina Zhen DongJapan Masaki Wada
2017GhentJapan Yusuke TakanashiJapan JapanJapan Akihiro TakahashiJapan Misa SugawaraJapan Akihiro Takahashi
2018PragueJapan Keisuke FukuchiJapan JapanThailand Piyanat AunchuleeJapan Misa SugawaraJapan Keisuke Fukuchi
2019TokyoJapan Akihiro TakahashiJapan JapanJapan Yusuke TakanashiAustralia Joanna WilliamJapan Akihiro Takahashi
2020Cancelled
2021Cancelled
2022[28]ParisJapan Kento UranoJapan JapanSwitzerland Arthur JuignerFinland Katie PihlajapuroJapan Fuyumi Okudaira
2023[29]RomeJapan Yasushi NaganoJapan JapanThailand Rujipas Aunchulee Japan Hisako Kinoshita Japan Osuke Kawazoe
2024[30]HangzhouJapan Seiya KuritaJapan JapanJapan Yusuke Takanashi Japan Hisako Kinoshita Japan Yo Tomita

Reception

[edit]

Games magazine includedOthello in their "Top 100 Games of 1980", noting that it was "Based on the Victorian game of reversi" and had achieved "remarkable success in this country for an abstract game of strategy".[31]

Games magazine includedOthello, Tournament Set in their "Top 100 Games of 1981", noting that by that time "Othello has become so popular that Gabriel now markets a computer version and a players' association publishes a quarterly magazine".[32]

Games magazine includedOthello in their "Top 100 Games of 1982", noting that "Although the goal is to finish with the most pieces of your color up, the best strategy, paradoxically, is usually to limit your opponent's options by flipping over asfew of his discs as possible during the first two-thirds of the game."[33]

Reviews

[edit]

See also

[edit]

References

[edit]
  1. ^"Brief history of Othello".Othello Museum. Beppi.it. Archived fromthe original on 16 May 2009. Retrieved4 January 2015.
  2. ^"Fine New Games and Toys; Now Ready for Distribution by the Agents of Santa Claus. In the Modern Wonderland – Millions Spent for the Amusement and Instruction of Children – Minds Active and Hands Busy All the Time".The New York Times. 1 December 1895. Retrieved4 January 2015.
  3. ^松浦, 政泰 (December 1907). "裏返へし(レヴアルシー)Reversi".Complete World Game Law (in Japanese). Hakubunkan. pp. 187–189.doi:10.11501/860315.
  4. ^See Japan Utility Patent Application numbers S46-001435 (JP,1971-001435) and number S47-135869 (JP,1972-135869), available viahttps://www.j-platpat.inpit.go.jp/web/all/top/BTmTopEnglishPage
  5. ^"Modern Living: Japanese Othello".Time. 11 November 1976. Retrieved28 May 2016.
  6. ^Hasegawa, Goro (December 1973). "A generation of making popular "Othello" games".Gendai (in Japanese).7 (12).Kodansha:147–151.doi:10.11501/3367321.
  7. ^Hasegawa, Goro (December 2005).The Tale of One Hundreds of Othello - Famous players who decorated the history of Othello (in Japanese).Kawade Shobō Shinsha.ISBN 9784309906553.
  8. ^Hasegawa, Goro (1981).How to Othello (in Japanese). p. 136.
  9. ^The Nihon Keizai Shimbun. Page 24, 20 March 1973
  10. ^"140 years of history". Retrieved4 January 2015.
  11. ^Pages 147–151 of The December issue of GENDAI, published by Kodansha on 1 December 1973. Viewed at National Diet Library of Japan
  12. ^Pages 110–113 August 25 issue of Yomiuri Weekly, published by Yomiuri Shimbun on 25 August 1973. Viewed at National Diet Library of Japan
  13. ^Page 23 of Vol.77, No.1811 of JITSUGYO NO NIHON published by Jitsugyo no Nihon Sha, Ltd. on 1 March 1974. Viewed at National Diet Library of Japan
  14. ^abPages 276–281 December issue of The Ushio published by Ushio Publishing Co., Ltd., on 1 December 1974. Viewed at National Diet Library of Japan
  15. ^"Japanese Othello".Time. 22 November 1976. Archived fromthe original on 3 November 2007.
  16. ^Hasegawa, Goro (1977).HOW TO WIN AT OTHELLO. U.S.: A Harvest / HBJ Book.ISBN 978-0156422154.
  17. ^"MegaHouse and Co. Pal box signed a transfer agreement part of the business (translated by Google translation)". Archived fromthe original on 23 September 2015. Retrieved11 September 2015.
  18. ^"World Othello Championships Rules"(PDF).World Othello Federation. 2019. Retrieved4 December 2024.
  19. ^About Anti-Reversihttps://samsoft.org.uk/reversi/strategy.htm on 14 August 2024
  20. ^"Britishothello.org.uk"(PDF). Archived fromthe original(PDF) on 18 February 2019.
  21. ^Buro, Michael (2003). "The Evolution of Strong Othello Programs".Entertainment Computing. IFIP Advances in Information and Communication Technology. Vol. 112. pp. 81–88.doi:10.1007/978-0-387-35660-0_10.ISBN 978-1-4757-5153-6.
  22. ^Allis, Victor (1994).Searching for Solutions in Games and Artificial Intelligence(PDF). PhD Thesis, University of Limburg, Maastricht, The Netherlands.ISBN 90-900748-8-0.Archived(PDF) from the original on 7 March 2005.
  23. ^"Amenor". Archived fromthe original on 29 October 2013.
  24. ^Takizawa, Hiroki (2023). "Othello is Solved".arXiv:2310.19387 [cs.AI].
  25. ^Iwata, S.; Kasai, T. (1994). "The Othello game on an n*n board is PSPACE-complete".Theor. Comput. Sci.123 (2):329–340.doi:10.1016/0304-3975(94)90131-7.
  26. ^"World Othello Championship :: World Othello Federation".worldothello.org. Retrieved21 June 2021.
  27. ^"2006.htm".
  28. ^"World Othello".
  29. ^"World Othello".
  30. ^"World Othello".
  31. ^"Top 100 Games of 1980".Games. No. 20. November–December 1980. p. 53.
  32. ^"Top 100 Games of 1981".Games. No. 26. November–December 1981. p. 52.
  33. ^Schmittberger, R. Wayne, ed. (November 1982). "The Top 100 Games 1982".Games. No. 33. p. 46.
  34. ^"GAMES Magazine #1". September 1977.
  35. ^"Jeux & stratégie 06". December 1980.
  36. ^Lowder, James (18 February 2024).Family games : The 100 best. Green Ronin.ISBN 978-1-934547-21-2.

External links

[edit]
Wikimedia Commons has media related toReversi.
Wikibooks has a book on the topic of:Reversi
Toy brands
Games
Traditional
Video and
computer
Acquired brands
Business units
Current
Former
Corporate
acquisitions
Bought and sold
Litigation
Other
Authority control databases: NationalEdit this at Wikidata
Retrieved from "https://en.wikipedia.org/w/index.php?title=Reversi&oldid=1323723526"
Categories:
Hidden categories:

[8]ページ先頭

©2009-2025 Movatter.jp