Basic Rules of 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. -
Combinatorics on the Chessboard
Combinatorics on the Chessboard Interactive game: 1. On regular chessboard a rook is placed on a1 (bottom-left corner). Players A and B take alternating turns by moving the rook upwards or to the right by any distance (no left or down movements allowed). Player A makes the rst move, and the winner is whoever rst reaches h8 (top-right corner). Is there a winning strategy for any of the players? Solution: Player B has a winning strategy by keeping the rook on the diagonal. Knight problems based on invariance principle: A knight on a chessboard has a property that it moves by alternating through black and white squares: if it is on a white square, then after 1 move it will land on a black square, and vice versa. Sometimes this is called the chameleon property of the knight. This is related to invariance principle, and can be used in problems, such as: 2. A knight starts randomly moving from a1, and after n moves returns to a1. Prove that n is even. Solution: Note that a1 is a black square. Based on the chameleon property the knight will be on a white square after odd number of moves, and on a black square after even number of moves. Therefore, it can return to a1 only after even number of moves. 3. Is it possible to move a knight from a1 to h8 by visiting each square on the chessboard exactly once? Solution: Since there are 64 squares on the board, a knight would need 63 moves to get from a1 to h8 by visiting each square exactly once. -
A Package to Print Chessboards
chessboard: A package to print chessboards Ulrike Fischer November 1, 2020 Contents 1 Changes 1 2 Introduction 2 2.1 Bugs and errors.....................................3 2.2 Requirements......................................4 2.3 Installation........................................4 2.4 Robustness: using \chessboard in moving arguments..............4 2.5 Setting the options...................................5 2.6 Saving optionlists....................................7 2.7 Naming the board....................................8 2.8 Naming areas of the board...............................8 2.9 FEN: Forsyth-Edwards Notation...........................9 2.10 The main parts of the board..............................9 3 Setting the contents of the board 10 3.1 The maximum number of fields........................... 10 1 3.2 Filling with the package skak ............................. 11 3.3 Clearing......................................... 12 3.4 Adding single pieces.................................. 12 3.5 Adding FEN-positions................................. 13 3.6 Saving positions..................................... 15 3.7 Getting the positions of pieces............................ 16 3.8 Using saved and stored games............................ 17 3.9 Restoring the running game.............................. 17 3.10 Changing the input language............................. 18 4 The look of the board 19 4.1 Units for lengths..................................... 19 4.2 Some words about box sizes.............................. 19 4.3 Margins......................................... -
FIDE Laws of Chess
FIDE Laws of Chess FIDE Laws of Chess cover over-the-board play. The Laws of Chess have two parts: 1. Basic Rules of Play and 2. Competition Rules. The English text is the authentic version of the Laws of Chess (which was adopted at the 84th FIDE Congress at Tallinn (Estonia) coming into force on 1 July 2014. In these Laws the words ‘he’, ‘him’, and ‘his’ shall be considered to include ‘she’ and ‘her’. PREFACE The Laws of Chess cannot cover all possible situations that may arise during a game, nor can they regulate all administrative questions. Where cases are not precisely regulated by an Article of the Laws, it should be possible to reach a correct decision by studying analogous situations which are discussed in the Laws. The Laws assume that arbiters have the necessary competence, sound judgement and absolute objectivity. Too detailed a rule might deprive the arbiter of his freedom of judgement and thus prevent him from finding a solution to a problem dictated by fairness, logic and special factors. FIDE appeals to all chess players and federations to accept this view. A necessary condition for a game to be rated by FIDE is that it shall be played according to the FIDE Laws of Chess. It is recommended that competitive games not rated by FIDE be played according to the FIDE Laws of Chess. Member federations may ask FIDE to give a ruling on matters relating to the Laws of Chess. BASIC RULES OF PLAY Article 1: The nature and objectives of the game of chess 1.1 The game of chess is played between two opponents who move their pieces on a square board called a ‘chessboard’. -
53Rd WORLD CONGRESS of CHESS COMPOSITION Crete, Greece, 16-23 October 2010
53rd WORLD CONGRESS OF CHESS COMPOSITION Crete, Greece, 16-23 October 2010 53rd World Congress of Chess Composition 34th World Chess Solving Championship Crete, Greece, 16–23 October 2010 Congress Programme Sat 16.10 Sun 17.10 Mon 18.10 Tue 19.10 Wed 20.10 Thu 21.10 Fri 22.10 Sat 23.10 ICCU Open WCSC WCSC Excursion Registration Closing Morning Solving 1st day 2nd day and Free time Session 09.30 09.30 09.30 free time 09.30 ICCU ICCU ICCU ICCU Opening Sub- Prize Giving Afternoon Session Session Elections Session committees 14.00 15.00 15.00 17.00 Arrival 14.00 Departure Captains' meeting Open Quick Open 18.00 Solving Solving Closing Lectures Fairy Evening "Machine Show Banquet 20.30 Solving Quick Gun" 21.00 19.30 20.30 Composing 21.00 20.30 WCCC 2010 website: http://www.chessfed.gr/wccc2010 CONGRESS PARTICIPANTS Ilham Aliev Azerbaijan Stephen Rothwell Germany Araz Almammadov Azerbaijan Rainer Staudte Germany Ramil Javadov Azerbaijan Axel Steinbrink Germany Agshin Masimov Azerbaijan Boris Tummes Germany Lutfiyar Rustamov Azerbaijan Arno Zude Germany Aleksandr Bulavka Belarus Paul Bancroft Great Britain Liubou Sihnevich Belarus Fiona Crow Great Britain Mikalai Sihnevich Belarus Stewart Crow Great Britain Viktor Zaitsev Belarus David Friedgood Great Britain Eddy van Beers Belgium Isabel Hardie Great Britain Marcel van Herck Belgium Sally Lewis Great Britain Andy Ooms Belgium Tony Lewis Great Britain Luc Palmans Belgium Michael McDowell Great Britain Ward Stoffelen Belgium Colin McNab Great Britain Fadil Abdurahmanović Bosnia-Hercegovina Jonathan -
UIL Text 111212
UIL Chess Puzzle Solvin g— Fall/Winter District 2016-2017 —Grades 4 and 5 IMPORTANT INSTRUCTIONS: [Test-administrators, please read text in this box aloud.] This is the UIL Chess Puzzle Solving Fall/Winter District Test for grades four and five. There are 20 questions on this test. You have 30 minutes to complete it. All questions are multiple choice. Use the answer sheet to mark your answers. Multiple choice answers pur - posely do not indicate check, checkmate, or e.p. symbols. You will be awarded one point for each correct answer. No deductions will be made for incorrect answers on this test. Finishing early is not rewarded, even to break ties. So use all of your time. Some of the questions may be hard, but all of the puzzles are interesting! Good luck and have fun! If you don’t already know chess notation, reading and referring to the section below on this page will help you. How to read and answer questions on this test Piece Names Each chessman can • To answer the questions on this test, you’ll also be represented need to know how to read chess moves. It’s by a symbol, except for the pawn. simple to do. (Figurine Notation) K King Q • Every square on the board has an “address” Queen R made up of a letter and a number. Rook B Bishop N Knight Pawn a-h (We write the file it’s on.) • To make them easy to read, the questions on this test use the figurine piece symbols on the right, above. -
Chess Openings
Chess Openings PDF generated using the open source mwlib toolkit. See http://code.pediapress.com/ for more information. PDF generated at: Tue, 10 Jun 2014 09:50:30 UTC Contents Articles Overview 1 Chess opening 1 e4 Openings 25 King's Pawn Game 25 Open Game 29 Semi-Open Game 32 e4 Openings – King's Knight Openings 36 King's Knight Opening 36 Ruy Lopez 38 Ruy Lopez, Exchange Variation 57 Italian Game 60 Hungarian Defense 63 Two Knights Defense 65 Fried Liver Attack 71 Giuoco Piano 73 Evans Gambit 78 Italian Gambit 82 Irish Gambit 83 Jerome Gambit 85 Blackburne Shilling Gambit 88 Scotch Game 90 Ponziani Opening 96 Inverted Hungarian Opening 102 Konstantinopolsky Opening 104 Three Knights Opening 105 Four Knights Game 107 Halloween Gambit 111 Philidor Defence 115 Elephant Gambit 119 Damiano Defence 122 Greco Defence 125 Gunderam Defense 127 Latvian Gambit 129 Rousseau Gambit 133 Petrov's Defence 136 e4 Openings – Sicilian Defence 140 Sicilian Defence 140 Sicilian Defence, Alapin Variation 159 Sicilian Defence, Dragon Variation 163 Sicilian Defence, Accelerated Dragon 169 Sicilian, Dragon, Yugoslav attack, 9.Bc4 172 Sicilian Defence, Najdorf Variation 175 Sicilian Defence, Scheveningen Variation 181 Chekhover Sicilian 185 Wing Gambit 187 Smith-Morra Gambit 189 e4 Openings – Other variations 192 Bishop's Opening 192 Portuguese Opening 198 King's Gambit 200 Fischer Defense 206 Falkbeer Countergambit 208 Rice Gambit 210 Center Game 212 Danish Gambit 214 Lopez Opening 218 Napoleon Opening 219 Parham Attack 221 Vienna Game 224 Frankenstein-Dracula Variation 228 Alapin's Opening 231 French Defence 232 Caro-Kann Defence 245 Pirc Defence 256 Pirc Defence, Austrian Attack 261 Balogh Defense 263 Scandinavian Defense 265 Nimzowitsch Defence 269 Alekhine's Defence 271 Modern Defense 279 Monkey's Bum 282 Owen's Defence 285 St. -
The Oldest Books on Modern Chess
The Oldest Books on Modern Chess By Jon Crumiller © 2016 Worldchess.com Nobody expects the Spanish Inquisition. But when players respond to 1. e4 with 1. … e5, they can often be subjected to the Spanish Torture. That’s a well-known nickname for the Ruy López, one of the oldest and most commonly used openings in chess. The nickname is possibly not a coincidence; the Inquisition was active in Spain in 1561, the same year that the Spanish priest named Ruy López de Segura published his celebrated work, Libro de la Invencion liberal y Arte del juego del Axedrez. The book contained the analysis from which the chess opening received its eponymous name. Jonathan Crumiller The passage highlighted above can roughly be translated: White king’s pawn goes to the fourth. If black plays the king’s pawn to the fourth: white plays the king’s knight to the king’s bishop third, over the pawn. If black plays the queen’s knight to queen’s bishop third: white plays the king’s bishop to the fourth square of the contrary queen’s knight, opposed to that knight. Or in our modern chess language: 1. e4, e5 2. Nf3, Nc6 3. Bb5. Jonathan Crumiller On the right is how the Ruy López opening would have looked four centuries ago with a standard chess set and board in Spain. This Spanish chess set is one of my oldest complete sets (along with a companion wooden set of the same era). Jonathan Crumiller Here is the Ruy López as seen with that companion set displayed on a Spanish chessboard, also from the 1600’s. -
PGN/AN Verification for Legal Chess Gameplay
PGN/AN Verification for Legal Chess Gameplay Neil Shah Guru Prashanth [email protected] [email protected] May 10, 2015 Abstract Chess has been widely regarded as one of the world's most popular games through the past several centuries. One of the modern ways in which chess games are recorded for analysis is through the PGN/AN (Portable Game Notation/Algebraic Notation) standard, which enforces a strict set of rules for denoting moves made by each player. In this work, we examine the use of PGN/AN to record and describe moves with the intent of building a system to verify PGN/AN in order to check for validity and legality of chess games. To do so, we formally outline the abstract syntax of PGN/AN movetext and subsequently define denotational state-transition and associated termination semantics of this notation. 1 Introduction Chess is a two-player strategy board game which is played on an eight-by-eight checkered board with 64 squares. There are two players (playing with white and black pieces, respectively), which move in alternating fashion. Each player starts the game with a total of 16 pieces: one king, one queen, two rooks, two knights, two bishops and eight pawns. Each of the pieces moves in a different fashion. The game ends when one player checkmates the opponents' king by placing it under threat of capture, with no defensive moves left playable by the losing player. Games can also end with a player's resignation or mutual stalemate/draw. We examine the particulars of piece movements later in this paper. -
Chess-Training-Guide.Pdf
Q Chess Training Guide K for Teachers and Parents Created by Grandmaster Susan Polgar U.S. Chess Hall of Fame Inductee President and Founder of the Susan Polgar Foundation Director of SPICE (Susan Polgar Institute for Chess Excellence) at Webster University FIDE Senior Chess Trainer 2006 Women’s World Chess Cup Champion Winner of 4 Women’s World Chess Championships The only World Champion in history to win the Triple-Crown (Blitz, Rapid and Classical) 12 Olympic Medals (5 Gold, 4 Silver, 3 Bronze) 3-time US Open Blitz Champion #1 ranked woman player in the United States Ranked #1 in the world at age 15 and in the top 3 for about 25 consecutive years 1st woman in history to qualify for the Men’s World Championship 1st woman in history to earn the Grandmaster title 1st woman in history to coach a Men's Division I team to 7 consecutive Final Four Championships 1st woman in history to coach the #1 ranked Men's Division I team in the nation pnlrqk KQRLNP Get Smart! Play Chess! www.ChessDailyNews.com www.twitter.com/SusanPolgar www.facebook.com/SusanPolgarChess www.instagram.com/SusanPolgarChess www.SusanPolgar.com www.SusanPolgarFoundation.org SPF Chess Training Program for Teachers © Page 1 7/2/2019 Lesson 1 Lesson goals: Excite kids about the fun game of chess Relate the cool history of chess Incorporate chess with education: Learning about India and Persia Incorporate chess with education: Learning about the chess board and its coordinates Who invented chess and why? Talk about India / Persia – connects to Geography Tell the story of “seed”. -
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.