Chess Basics
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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......................................... -
I Make This Pledge to You Alone, the Castle Walls Protect Our Back That I Shall Serve Your Royal Throne
AMERA M. ANDERSEN Battlefield of Life “I make this pledge to you alone, The castle walls protect our back that I shall serve your royal throne. and Bishops plan for their attack; My silver sword, I gladly wield. a master plan that is concealed. Squares eight times eight the battlefield. Squares eight times eight the battlefield. With knights upon their mighty steed For chess is but a game of life the front line pawns have vowed to bleed and I your Queen, a loving wife and neither Queen shall ever yield. shall guard my liege and raise my shield Squares eight times eight the battlefield. Squares eight time eight the battlefield.” Apathy Checkmate I set my moves up strategically, enemy kings are taken easily Knights move four spaces, in place of bishops east of me Communicate with pawns on a telepathic frequency Smash knights with mics in militant mental fights, it seems to be An everlasting battle on the 64-block geometric metal battlefield The sword of my rook, will shatter your feeble battle shield I witness a bishop that’ll wield his mystic sword And slaughter every player who inhabits my chessboard Knight to Queen’s three, I slice through MCs Seize the rook’s towers and the bishop’s ministries VISWANATHAN ANAND “Confidence is very important—even pretending to be confident. If you make a mistake but do not let your opponent see what you are thinking, then he may overlook the mistake.” Public Enemy Rebel Without A Pause No matter what the name we’re all the same Pieces in one big chess game GERALD ABRAHAMS “One way of looking at chess development is to regard it as a fight for freedom. -
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. -
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. -
FIDE CANDIDATES TOURNAMENT 2020 Chief Arbiter's Information
FIDE CANDIDATES TOURNAMENT 2020 Yekaterinburg, Russia, 16th March – 5th April 2020 Chief Arbiter’s information Date: The FIDE Candidates Tournament 2020 takes place in Yekaterinburg (Russia) fro m 16th March until 5 th April. Tournament Venue: The playing hall is located in the Hyatt Regency Hotel (second floor), Bo risa Yeltsina Street 8, Yekaterinburg, Sverdlovsk Oblast, Russia, 620014. Format & System: The 8 players play a double round robin tournament (14 rounds). The winner qualifies fo r the 2020 FIDE World Chess Championship Match. Pairings and draw of colors: The draw for pairings and colors was made in the Ministry of Sport of the Russian Federation in Moscow, with the presence of the FIDE President, Mr. Arkady Dvorkovich. The participants have the following starting numbers: SNo. Name IRtg FED 1 GM Vachier-Lagrave Maxime 2767 FRA 2 GM Ding Liren 2805 CHN 3 GM Giri Anish 2763 NED 4 GM Grischuk Alexander 2777 RUS 5 GM Alekseenko Kirill 2698 RUS 6 GM Nepomniachtchi Ian 2774 RUS 7 GM Wang Hao 2762 CHN 8 GM Caruana Fabiano 2842 USA Note: Teimour Radjabov (SNo.1) is replaced by Maxime Vachier-Lagrave. Pairings: Round 1 SNo. Name Rtg Res. Name Rtg SNo. 1 GM Vac hier-Lagrave Maxime 2767 - GM Caruana Fabiano 2842 8 2 GM Ding Liren 2805 - GM Wang Hao 2762 7 3 GM Giri Anish 2763 - GM Nepomniachtchi Ian 2774 6 4 GM Grischuk Alexander 2777 - GM Alekseenko Kirill 2698 5 Round 2 SNo. Name Rtg Res. Name Rtg SNo. 8 GM Caruana Fabiano 2842 - GM Alekseenko Kirill 2698 5 6 GM Nepomniachtchi Ian 2774 - GM Grischuk Alexander 2777 4 7 GM Wang Hao 2762 - GM Giri Anish 2763 3 1 GM Vac hier-Lagrave Maxime 2767 - GM Ding Liren 2805 2 Round 3 SNo. -
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. -
57 New Year's Ride to the Normal
TTHHEE PPUUZZZZLLIINNGG SSIIDDEE OOFF CCHHEESSSS Jeff Coakley A NEW YEAR’S RIDE TO THE NORMAL SIDE number 57 December 28, 2013 For many players, the holiday season is associated with unusual chess problems. The Puzzling Side of Chess takes the opposite approach. To celebrate the end of each year, we cross over, for a brief moment in time, to “the normal side of chess”. As described in our first holiday column (21), normal chess means direct mates, endgame studies, and game positions. So here, for your New Year’s entertainment, is a selection of twelve standard problems. Cheers, everyone! Happy New Year from the Chess Cafe! Let’s begin our journey into the world of chess normalcy with a simple mate in two. Then we’ll gradually work our way up to the harder stuff. 1 w________w áwdwHkdwd] àdwIw)wdw] ßwdwdwGwd] Þdwdwdwdw] Ýwdwdwdwd] Üdwdwdwdw] Ûwdwdwdwd] Údwdw$wdw] wÁÂÃÄÅÆÇÈw White to mate in 2 Miniature problems, with seven pieces or less, have always been a favourite of mine, especially mates in two. Positions with eight to twelve pieces, like the one below, are known as merediths. The name honours American composer William Meredith (1835-1903) of Philadelphia. 2 w________w áwdkdwdwd] àdwdRdNHw] ßwdwdwdwd] ÞdPdwIwdw] ÝwdwdwdBd] ÜdwdwdwGw] Ûwdwdwdwd] Údwdwdwdw] wÁÂÃÄÅÆÇÈw White to mate in 2 In the first two puzzles, the only black piece was the king. Samuel Loyd, in his book Chess Strategy (1878), called such positions “intimidated king problems”. The black king is not intimidated in the next mate in two. In fact, the black forces outnumber the white. Sam Loyd had these two things to say about his composition: “This problem is especially constructed to give a deceptive appearance to mislead the solver ...” “To amateur solvers, .. -
Rules & Regulations for the Candidates Tournament of the FIDE
Rules & regulations for the Candidates Tournament of the FIDE World Championship cycle 2012-2014 1. Organisation 1. 1 The Candidates Tournament to determine the challenger for the 2014 World Chess Championship Match shall be organised in the first quarter of 2014 and represent an integral part of the World Chess Championship regulations for the cycle 2012- 2014. Eight (8) players will participate in the Candidates Tournament and the winner qualifies for the World Chess Championship Match in the first quarter of 2014. 1. 2 Governing Body: the World Chess Federation (FIDE). For the purpose of creating the regulations, communicating with the players and negotiating with the organisers, the FIDE President has nominated a committee, hereby called the FIDE Commission for World Championships and Olympiads (hereinafter referred to as WCOC) 1. 3 FIDE, or its appointed commercial agency, retains all commercial and media rights of the Candidates Tournament, including internet rights. These rights can be transferred to the organiser upon agreement. 1. 4 Upon recommendation by the WCOC, the body responsible for any changes to these Regulations is the FIDE Presidential Board. 1. 5 At any time in the course of the application of these Regulations, any circumstances that are not covered or any unforeseen event shall be referred to the President of FIDE for final decision. 2. Qualification for the 2014 Candidates Tournament The players who qualify for the Candidates Tournament are determined according to the following, in order of priority: 2. 1 World Championship Match 2013 - The player who lost the 2013 World Championship Match qualifies. 2. 2 World Cup 2013 - The two (2) top winners of the World Cup 2013 qualify. -
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-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”.