CONTENT 1 Game Board, 32 Chess Pieces. AIM of the GAME Chess
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A Combinatorial Game Theoretic Analysis of Chess Endgames
A COMBINATORIAL GAME THEORETIC ANALYSIS OF CHESS ENDGAMES QINGYUN WU, FRANK YU,¨ MICHAEL LANDRY 1. Abstract In this paper, we attempt to analyze Chess endgames using combinatorial game theory. This is a challenge, because much of combinatorial game theory applies only to games under normal play, in which players move according to a set of rules that define the game, and the last player to move wins. A game of Chess ends either in a draw (as in the game above) or when one of the players achieves checkmate. As such, the game of chess does not immediately lend itself to this type of analysis. However, we found that when we redefined certain aspects of chess, there were useful applications of the theory. (Note: We assume the reader has a knowledge of the rules of Chess prior to reading. Also, we will associate Left with white and Right with black). We first look at positions of chess involving only pawns and no kings. We treat these as combinatorial games under normal play, but with the modification that creating a passed pawn is also a win; the assumption is that promoting a pawn will ultimately lead to checkmate. Just using pawns, we have found chess positions that are equal to the games 0, 1, 2, ?, ", #, and Tiny 1. Next, we bring kings onto the chessboard and construct positions that act as game sums of the numbers and infinitesimals we found. The point is that these carefully constructed positions are games of chess played according to the rules of chess that act like sums of combinatorial games under normal play. -
A Semiotic Analysis on Signs of the English Chess Game
1 A Semiotic Analysis on Signs of the English Chess Game M. I. Andi Purnomo, Drs. Wisasongko, M.A., Hat Pujiati, S.S., M.A. English Department, Faculty of Letter, Jember University Jln. Kalimantan 37, Jember 68121 E-mail: [email protected] Abstract This thesis discusses about English Chess Game through Roland Barthes's Myth. In this thesis, I use documentary technique as method of analysis. The analysis is done by the observation of the rules, colors, and images of the English chess game. In addition, chessman and chess formation are analyzed using syntagmatic and paradigmatic relation theory to explore the correlation between symbols of the English chess game with the existence of Christian in the middle age of England. The result of this thesis shows the relation of English chess game with the history of England in the middle age where Christian ideology influences the social, military, and government political life of the English empire. Keywords: chessman, chess piece, bishops, king, knights, pawns, queen, rooks. Introduction Then, the game spread into Europe. Around 1200, the game was established in Britain and the name of “Chess” begins Game is an activity that is done by people for some (Shenk, 2006:51). It means chess spread to English during purposes. Some people use the game as a medium of the Middle Ages. The Middle Age of English begins around interaction with other people. Others use the game as the 1066 – 1485 (www.middle-ages.org.uk). At that time, the activity of spending leisure time. Others use the game as the Christian dominated the whole empire and automatically the major activity for professional. -
Proposal to Encode Heterodox Chess Symbols in the UCS Source: Garth Wallace Status: Individual Contribution Date: 2016-10-25
Title: Proposal to Encode Heterodox Chess Symbols in the UCS Source: Garth Wallace Status: Individual Contribution Date: 2016-10-25 Introduction The UCS contains symbols for the game of chess in the Miscellaneous Symbols block. These are used in figurine notation, a common variation on algebraic notation in which pieces are represented in running text using the same symbols as are found in diagrams. While the symbols already encoded in Unicode are sufficient for use in the orthodox game, they are insufficient for many chess problems and variant games, which make use of extended sets. 1. Fairy chess problems The presentation of chess positions as puzzles to be solved predates the existence of the modern game, dating back to the mansūbāt composed for shatranj, the Muslim predecessor of chess. In modern chess problems, a position is provided along with a stipulation such as “white to move and mate in two”, and the solver is tasked with finding a move (called a “key”) that satisfies the stipulation regardless of a hypothetical opposing player’s moves in response. These solutions are given in the same notation as lines of play in over-the-board games: typically algebraic notation, using abbreviations for the names of pieces, or figurine algebraic notation. Problem composers have not limited themselves to the materials of the conventional game, but have experimented with different board sizes and geometries, altered rules, goals other than checkmate, and different pieces. Problems that diverge from the standard game comprise a genre called “fairy chess”. Thomas Rayner Dawson, known as the “father of fairy chess”, pop- ularized the genre in the early 20th century. -
CHESS MASTERPIECES: (Later, in Europe, Replaced by a HIGHLIGHTS from the DR
CHESS MASTERPIECES: (later, in Europe, replaced by a HIGHLIGHTS FROM THE DR. queen). These were typically flanKed GEORGE AND VIVIAN DEAN by elephants (later to become COLLECTION bishops), though in this case, they are EXHIBITION CHECKLIST camels with drummers; cavalrymen (later to become Knights); and World Chess Hall of Fame chariots or elephants, (later to Saint Louis, Missouri 2.1. Abstract Bead anD Dart Style Set become rooKs or “castles”). A September 9, 2011-February 12, with BoarD, India, 1700s. Natural and frontline of eight foot soldiers 2012 green-stained ivory, blacK lacquer- (pawns) completed each side. work folding board with silver and mother-of-pearl. This classical Indian style is influenced by the Islamic trend toward total abstraction of the design. The pieces are all lathe- turned. The blacK lacquer finish, made in India from the husKs of the 1.1. Neresheimer French vs. lac insect, was first developed by the Germans Set anD Castle BoarD, Chinese. The intricate inlaid silver Hanau, Germany, 1905-10. Silver and grid pattern traces alternating gilded silver, ivory, diamonds, squares filled with lacy inscribed fern sapphires, pearls, amethysts, rubies, leaf designs and inlaid mother-of- and marble. pearl disKs. These decorations 2.3. Mogul Style Set with combine a grid of squares, common Presentation Case, India, 1800s. Before WWI, Neresheimer, of Hanau, to Western forms of chess, with Beryl with inset diamonds, rubies, Germany, was a leading producer of another grid of inlaid center points, and gold, wooden presentation case ornate silverware and decorative found in Japanese and Chinese clad in maroon velvet and silk-lined. -
Rules of Chess960
Rules of Chess960 A little known and long-discarded offshoot of Classical Chess is the realm of so-called "Randomized Chess" in its various forms. Chess960 stands for Bobby Fischer's new and improved version of "Randomized Chess". Chess960 uses algebraic notation exclusively At the start of every game of a Chess960 game, both players Pawns are set up exactly as they are at the start of every game of Classical Chess. In Chess960, just before the start of every game, both players pieces on their respective back rows receive an identical random shuffle using the Chess960 Computerized Shuffler, which is programmed to set up the pieces in any combination, with the provisos that one Rook has to be to the left and one Rook has to be to the right of the King, and one Bishop has to be on a light- colored square and one Bishop has to be on a dark-colored square. White and Black have identical positions. From behind their respective Pawns the opponents pieces are facing each other directly, symmetrically. Thus for example, if the shuffler places White's back row pieces in the following position: Ra1, Bb1, Kc1, Nd1, Be1, Nf1, Rg1, Qh1, it will place Black's back row Pieces in the following position, Ra8, Bb8, Kc8, Nd8, Be8, Nf8, Rg8, Qh8, etc. (See diagram) In Chess960 there are 960 possible starting positions, the Classical Chess starting position and 959 other starting positions. Of necessity, In Chess960 the castling rule is somewhat modified and broadened to allow for the possibility of each player castling either on or into his or her left side or on or into his or her right side of the board from all of these 960 starting positions. -
Chess Rules Ages 10 & up • for 2 Players
Front (Head to Head) Prints Pantone 541 Blue Chess Rules Ages 10 & Up • For 2 Players Contents: Game Board, 16 ivory and 16 black Play Pieces Object: To threaten your opponent’s King so it cannot escape. Play Pieces: Set Up: Ivory Play Pieces: Black Play Pieces: Pawn Knight Bishop Rook Queen King Terms: Ranks are the rows of squares that run horizontally on the Game Board and Files are the columns that run vertically. Diagonals run diagonally. Position the Game Board so that the red square is at the bottom right corner for each player. Place the Ivory Play Pieces on the first rank from left to right in order: Rook, Knight, Bishop, Queen, King, Bishop, Knight and Rook. Place all of the Pawns on the second rank. Then place the Black Play Pieces on the board as shown in the diagram. Note: the Ivory Queen will be on a red square and the black Queen will be on a black space. Play: Ivory always plays first. Players alternate turns. Only one Play Piece may be moved on a turn, except when castling (see description on back). All Play Pieces must move in a straight path, except for the Knight. Also, the Knight is the only Play Piece that is allowed to jump over another Play Piece. Play Piece Moves: A Pawn moves forward one square at a time. There are two exceptions to this rule: 1. On a Pawn’s first move, it can move forward one or two squares. 2. When capturing a piece (see description on back), a Pawn moves one square diagonally ahead. -
Birth of the Chess Queen C Marilyn Yalom for Irv, Who Introduced Me to Chess and Other Wonders Contents
A History Birth of the Chess Queen C Marilyn Yalom For Irv, who introduced me to chess and other wonders Contents Acknowledgments viii Introduction xii Selected Rulers of the Period xx part 1 • the mystery of the chess queen’ s birth One Chess Before the Chess Queen 3 Two Enter the Queen! 15 Three The Chess Queen Shows Her Face 29 part 2 • spain, italy, and germany Four Chess and Queenship in Christian Spain 39 Five Chess Moralities in Italy and Germany 59 part 3 • france and england Six Chess Goes to France and England 71 v • contents Seven Chess and the Cult of the Virgin Mary 95 Eight Chess and the Cult of Love 109 part 4 • scandinavia and russia Nine Nordic Queens, On and Off the Board 131 Ten Chess and Women in Old Russia 151 part 5 • power to the queen Eleven New Chess and Isabella of Castile 167 Twelve The Rise of “Queen’s Chess” 187 Thirteen The Decline of Women Players 199 Epilogue 207 Notes 211 Index 225 About the Author Praise Other Books by Marilyn Yalom Credits Cover Copyright About the Publisher Waking Piece The world dreams in chess Kibitzing like lovers Pawn’s queened redemption L is a forked path only horses lead. Rook and King castling for safety Bishop boasting of crossways slide. Echo of Orbit: starless squared sky. She alone moves where she chooses. Protecting helpless monarch, her bidden skill. Attacking schemers, plotters, blundered all. Game eternal. War breaks. She enters. Check mate. Hail Queen. How we crave Her majesty. —Gary Glazner Acknowledgments This book would not have been possible without the vast philo- logical, archaeological, literary, and art historical research of pre- vious writers, most notably from Germany and England. -
Rook Endgame Problems in M by N Chess
Rook Endgame Problems in m by n Chess Thotsaporn \Aek" Thanatipanonda [email protected] Mathematics Subject Classification: 91A46 Abstract We consider Chess played on an m × n board (with m and n arbitrary positive integers), with only the two kings and the white rook remaining, but placed at arbitrary positions. Using the symbolic finite state method, developed by Thanatipanonda and Zeilberger, we prove that on a 3 × n board, for almost all initial positions, White can checkmate Black in ≤ n + 2 moves, and that this upper bound is sharp. We also conjecture that for an arbitrary m × n board, with m; n ≥ 4 (except for (m; n) = (4; 4) when it equals 7), the number of needed moves is ≤ m + n, and that this bound is also sharp. 1 Background and Introduction Chess is arguably the most popular board game on this planet. There are numerous combi- natorial problems inspired by Chess, such as the non-attacking queens problem [4] and the rich theory of rook polynomials [5] . More related to the actual game of Chess, Noam Elkies analyzed Chess endgame positions using the theory of combinatorial games [1]. Our investigation in this article is in an entirely different direction. We search for an answer to the following simply stated question: \Find the minimal number of moves needed for White to checkmate against a perfect opponent when playing on an m × n board where the only pieces left are the two kings and the white rook" . Of course, White always moves first. While the question of the minimal number of moves needed is not that important in the usual 8 × 8 chess, since the FIDE rules generously allow 50 moves, so White has to be an extremely weak player not be able to win. -
Chess Basics
NEWSLETTER Library: Jan-2003 Morals of Chess Feb-2003 Humor in Chess Feb 15th SCC Guidelines March 2003 The History of Chess Notation by Robert John McCrary The number of books on chess is greater the number of books on all other games combined. Yet, chess books would be few and far between if there were not an efficient way to record the moves of games. Chess notation is thus the special written" language" of chess players, making it possible for a single book to contain hundreds of games by great players, or thousands of opening variations. Surprisingly, however, chess notation was slow to evolve. As late as the early nineteenth century, many chess books simply wrote out moves in full sentences! As a result, very few of those early games before the 1800's were recorded and preserved in print, and published analysis was correspondingly limited. In Shakespeare's day, for example, the standard English chess book gave the move 2.Qf3 as follows: " Then the black king for his second draught brings forth his queene, and placest her in the third house, in front of his bishop's pawne." Can we imagine recording a full 40-move game with each move written out like that! Nevertheless, the great 18th century player and author Andre Philidor, in his highly influential chess treatise published in 1747, continued to write out moves as full sentences. One move might read, "The bishop takes the bishop, checking." Or the move e5 would appear as "King's pawn to adverse 4th." Occasionally Philidor would abbreviate something, but generally he liked to spell everything out. -
Art. I.—On the Persian Game of Chess
JOURNAL OF THE ROYAL ASIATIC SOCIETY. ART. I.— On the Persian Game of Chess. By K BLAND, ESQ., M.R.A.S. [Read June 19th, 1847.] WHATEVER difference of opinion may exist as to the introduction of Chess into Europe, its Asiatic origin is undoubted, although the question of its birth-place is still open to discussion, and will be adverted to in this essay. Its more immediate design, however, is to illustrate the principles and practice of the game itself from such Oriental sources as have hitherto escaped observation, and, especially, to introduce to particular notice a variety of Chess which may, on fair grounds, be considered more ancient than that which is now generally played, and lead to a theory which, if it should be esta- blished, would materially affect our present opinions on its history. In the life of Timur by Ibn Arabshah1, that conqueror, whose love of chess forms one of numerous examples among the great men of all nations, is stated to have played, in preference, at a more complicated game, on a larger board, and with several additional pieces. The learned Dr. Hyde, in his valuable Dissertation on Eastern Games2, has limited his researches, or, rather, been restricted in them by the nature of his materials, to the modern Chess, and has no further illustrated the peculiar game of Timur than by a philological Edited by Manger, "Ahmedis ArabsiadEe Vitae et Rernm Gestarum Timuri, qui vulgo Tamerlanes dicitur, Historia. Leov. 1772, 4to;" and also by Golius, 1736, * Syntagma Dissertationum, &c. Oxon, MDCCJ-XVII., containing "De Ludis Orientalibus, Libri duo." The first part is " Mandragorias, seu Historia Shahi. -
On Collecting Staunton Chessmen
CL_11-2008_stuanton_DL_r3:chess life 9/24/2008 4:54 PM Page 30 2C0o0ll8ecPtoinlgg ar On Collecting Staunton Chessmen A beginner’s guide to assembling a collection of the finest chess sets. By Frank Camaratta y chess set collecting obsession The Staunton chessmen were designed ficial” World Champion. had its start a few months after I and first manufactured in the United What is not known is the relationship M first learned the moves of the Kingdom by the firm of John Jaques. I between Jaques and Cook or between game. That was the summer before my obtained a copy of the design registration Cook and Staunton. We do know that 16th birthday. A few friends in my new for the Staunton chessmen from the Staunton wrote a daily chess article for neighborhood took the pains to explain patent office in London. The Staunton the Illustrated London News (ILN). It has the moves to me and I was addicted. All chessmen design was registered as num - been reported, but not verified, that Cook I could do was eat, drink and sleep chess. ber 58607 on March 1, 1849. The title of was affiliated with the ILN, possibly as a I was entering my junior year in high the registration was “Ornamental Design partner. It has also been reported, again school. I turned 16 in the fall of that year for a set of Chess-Men.” It was registered without verification, that Cook was John and, for my birthday, my mother gave by Nathaniel Cook, 198, Strand, London, Jaques’ son-in-law. -
Algebraic Notation in Chess Algebraic Notation Is a Method for Recording and Describing the Moves in a Game of Chess
Algebraic Notation in Chess Algebraic Notation is a method for recording and describing the moves in a game of chess. It is based on a system of coordinates to uniquely identify each square on the chessboard. Naming the squares Each square of the chessboard is identified by a unique coordinate pair—a letter and a number. The vertical columns of squares, called files from White's left (the queenside) to right (the kingside) are labeled a through h. The horizontal rows of squares, called ranks are numbered 1 to 8, starting from White's side of the board. Thus each square has a unique identification of file letter followed by rank number. Naming the pieces King=K Queen=Q Bishop=B Knight=N Rook=R Pawn Notation for Moves Each move of a piece is indicated by the piece's uppercase letter, plus the coordinate of the destination square. For example, Be5 (move a bishop to e5), Nf3 (move a knight to f3), c5 (move a pawn to c5— no piece letter in the case of pawn moves). Special Moves Capturing When a piece makes a capture, an "x" is inserted immediately before the destination square. For example, Bxe5 (bishop captures the piece on e5). When a pawn makes a capture, the file from which the pawn departed is used to identify the pawn. For example, exd5 (pawn on the e-file captures the piece on d5). Pawn Promotion When a pawn moves to the last rank and promotes, the piece promoted to is indicated at the end of the move notation, for example: e8Q (promoting to queen).