The Fianchetto Solution
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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. -
Chapter 2 Introduction: the Enigmatic Zukertort
Chapter 2 Introduction: The Enigmatic Zukertort The Zukertort is a symphony of irony. Why do you say that? Well, to begin at the beginning, in his annotations to the oft-quoted seminal game on his opening, Zukertort v. Black- burne 1883, Zukertort wrote that he planned to play the whole game on the Q-side. Now players typically think of the system as one long, prepared attack on the enemy’s King. Secondly, the opening is called the “Colle-Zukertort,” even though Colle practically never played it. In fact, in my own personal data- base I have many hundreds of games where Colle played what is now known as the “Colle-Koltanowski,” but not a single game where he played the Zukertort except when his opponent used the Queen’s Indian Defense. Thirdly, it is unclear why the Colle-Koltanowski and the Colle-Zukertort are so often put in the same book. We do not see books for Black containing in-depth coverage of both the Dragon and Najdorf variations of the Sicilian. We do not see repertoire books for White going deeply into both the Botvin- nik and Meran variations of the Semi-slav. Why package these two very different systems in the same text? The Enigmatic Zukertort Fourthly, a thorough inves- very much different than he tigation of the Zukertort will can if he castles early (as we show that it appears to have shall see). no real mainline! Or, rather, I would suggest the stu- its “mainline” is so tactically dent understand the Zuker- different than most of its tort as an opening in which other lines that it is hard to White presents Black the same say whether it is the mainline choice given to the protago- of the system or a popular nists at the end of the movie deviation! Ghostbusters. -
Taming Wild Chess Openings
Taming Wild Chess Openings How to deal with the Good, the Bad, and the Ugly over the chess board By International Master John Watson & FIDE Master Eric Schiller New In Chess 2015 1 Contents Explanation of Symbols ���������������������������������������������������������������� 8 Icons ��������������������������������������������������������������������������������� 9 Introduction �������������������������������������������������������������������������� 10 BAD WHITE OPENINGS ��������������������������������������������������������������� 18 Halloween Gambit: 1.e4 e5 2.♘f3 ♘c6 3.♘c3 ♘f6 4.♘xe5 ♘xe5 5.d4 . 18 Grünfeld Defense: The Gibbon: 1.d4 ♘f6 2.c4 g6 3.♘c3 d5 4.g4 . 20 Grob Attack: 1.g4 . 21 English Wing Gambit: 1.c4 c5 2.b4 . 25 French Defense: Orthoschnapp Gambit: 1.e4 e6 2.c4 d5 3.cxd5 exd5 4.♕b3 . 27 Benko Gambit: The Mutkin: 1.d4 ♘f6 2.c4 c5 3.d5 b5 4.g4 . 28 Zilbermints - Benoni Gambit: 1.d4 c5 2.b4 . 29 Boden-Kieseritzky Gambit: 1.e4 e5 2.♘f3 ♘c6 3.♗c4 ♘f6 4.♘c3 ♘xe4 5.0-0 . 31 Drunken Hippo Formation: 1.a3 e5 2.b3 d5 3.c3 c5 4.d3 ♘c6 5.e3 ♘e7 6.f3 g6 7.g3 . 33 Kadas Opening: 1.h4 . 35 Cochrane Gambit 1: 5.♗c4 and 5.♘c3 . 37 Cochrane Gambit 2: 5.d4 Main Line: 1.e4 e5 2.♘f3 ♘f6 3.♘xe5 d6 4.♘xf7 ♔xf7 5.d4 . 40 Nimzowitsch Defense: Wheeler Gambit: 1.e4 ♘c6 2.b4 . 43 BAD BLACK OPENINGS ��������������������������������������������������������������� 44 Khan Gambit: 1.e4 e5 2.♗c4 d5 . 44 King’s Gambit: Nordwalde Variation: 1.e4 e5 2.f4 ♕f6 . 45 King’s Gambit: Sénéchaud Countergambit: 1.e4 e5 2.f4 ♗c5 3.♘f3 g5 . -
Bulletin Round 6 -08.08.14
Bulletin Round 6 -08.08.14 That Carlsen black magic Blitz and “Media chess attention playing is a tool to seals get people to chess” Photos: Daniel Skog, COT 2014 (Carlsen and Seals) / David Martinez, chess24 (Gelfand) Chess Olympiad Tromsø 2014 – Bulletin Round 6– 08.08.14 Fabiano Caruana and Magnus Carlsen before the start of round 6 Photo: David Llada / COT2014 That Carlsen black magic Norway 1 entertained the home fans with a clean 3-1 over Italy, and with Magnus Carlsen performing some of his patented minimalist magic to defeat a major rival. GM Kjetil Lie put the Norwegians ahead with the kind of robust aggression typical of his best form on board four, and the teams traded wins on boards two and three. All eyes were fixed on the Caruana-Carlsen clash, where Magnus presumably pulled off an opening surprise by adopting the offbeat variation that he himself had faced as White against Nikola Djukic of Montenegro in round three. By GM Jonathan Tisdall Caruana appeared to gain a small but comfortable Caruana is number 3 in the world and someone advantage in a queenless middlegame, but as I've lost against a few times, so it feels incredibly Carlsen has shown so many times before, the good to beat him. quieter the position, the deadlier he is. In typically hypnotic fashion, the position steadily swung On top board Azerbaijan continues to set the Carlsen's way, and suddenly all of White's pawns pace, clinching another match victory thanks to were falling like overripe fruit. Carlsen's pleasure two wins with the white pieces, Mamedyarov with today's work was obvious, as he stopped to beating Jobava in a bare-knuckle brawl, and with high-five colleague Jon Ludvig Hammer on his GM Rauf Mamedov nailing GM Gaioz Nigalidze way into the NRK TV studio. -
CONTENTS Contents
CONTENTS Contents Symbols 5 Preface 6 Introduction 9 1 Glossary of Attacking and Strategic Terms 11 2 Double Attack 23 2.1: Double Attacks with Queens and Rooks 24 2.2: Bishop Forks 31 2.3: Knight Forks 34 2.4: The Í+Ì Connection 44 2.5: Pawn Forks 45 2.6: The Discovered Double Attack 46 2.7: Another Type of Double Attack 53 Exercises 55 Solutions 61 3 The Role of the Pawns 65 3.1: Pawn Promotion 65 3.2: The Far-Advanced Passed Pawn 71 3.3: Connected Passed Pawns 85 3.4: The Pawn-Wedge 89 3.5: Passive Sacrifices 91 3.6: The Kamikaze Pawn 92 Exercises 99 Solutions 103 4 Attacking the Castled Position 106 4.1: Weakness in the Castled Position 106 4.2: Rooks and Files 112 4.3: The Greek Gift 128 4.4: Other Bishop Sacrifices 133 4.5: Panic on the Long Diagonal 143 4.6: The Knight Sacrifice 150 4.7: The Exchange Sacrifice 162 4.8: The Queen Sacrifice 172 Exercises 176 Solutions 181 5 Drawing Combinations 186 5.1: Perpetual Check 186 5.2: Repetition of Position 194 5.3: Stalemate 197 5.4: Fortress and Blockade 202 5.5: Positional Draws 204 Exercises 207 Solutions 210 6 Combined Tactical Themes 213 6.1: Material, Endings, Zugzwang 214 6.2: One Sacrifice after Another 232 6.3: Extraordinary Combinations 242 6.4: A Diabolical Position 257 Exercises 260 Solutions 264 7 Opening Disasters 268 7.1: Open Games 268 7.2: Semi-Open Games 274 7.3: Closed Games 288 8 Tactical Examination 304 Test 1 306 Test 2 308 Test 3 310 Test 4 312 Test 5 314 Test 6 316 Hints 318 Solutions 320 Index of Names 331 Index of Openings 335 THE ROLE OF THE PAWNS 3 The Role of the Pawns Ever since the distant days of the 18th century 3.1: Pawn Promotion (let us call it the time of the French Revolution, or of François-André Danican Philidor) we have known that “pawns are the soul of chess”. -
TCAS II) by Personnel Involved in the Implementation and Operation of TCAS II
Preface This booklet provides the background for a better understanding of the Traffic Alert and Collision Avoidance System (TCAS II) by personnel involved in the implementation and operation of TCAS II. This booklet is an update of the TCAS II Version 7.0 manual published in 2000 by the Federal Aviation Administration (FAA). It describes changes to the CAS logic introduced by Version 7.1 and updates the information on requirements for use of TCAS II and operational experience. Version 7.1 logic changes will improve TCAS Resolution Advisory (RA) sense reversal logic in vertical chase situations. In addition all “Adjust Vertical Speed, Adjust” RAs are converted to “Level-Off, Level-Off” RAs to make it more clear that a reduction in vertical rate is required. The Minimum Operational Performance Standards (MOPS) for TCAS II Version 7.1 were approved in June 2008 and Version 7.1 units are expected to be operating by 2010-2011. Version 6.04a and 7.0 units are also expected to continue operating for the foreseeable future where authorized. 2 Preface................................................................................................................................. 2 The TCAS Solution............................................................................................................. 5 Early Collision Avoidance Systems................................................................................ 5 TCAS II Development .................................................................................................... 6 Initial -
TAYLOR KINGSTON FOREWORD by ANDY SOLTIS the Fighting Chess of Edgard Colle
Ed gCAISSA’S a r d WOUNDED Colle WARRIOR TAYLOR KINGSTON FOREWORD BY ANDY SOLTIS The Fighting Chess of Edgard Colle Caissa’s Wounded Warrior An exploration and celebration of the artistry of the Belgian chess champion and prolific international tournament player Edgard Colle (1897-1932) Taylor Kingston Foreword by Andy Soltis 2021 Russell Enterprises, Inc. Milford, CT USA 1 1 Edgard Colle: Caissa’s Wounded Warrior ISBN: 978-1-949859-27-0 (print) ISBN: 949859-28-7 (eBook) © Copyright 2021 Taylor Kingston All Rights Reserved No part of this book may be used, reproduced, stored in a retrieval system or transmitted in any manner or form whatsoever or by any means, electronic, electrostatic, magnetic tape, photocopying, recording or otherwise, without the express written permission from the publisher except in the case of brief quotations embodied in critical articles or reviews. Published by: Russell Enterprises, Inc. P.O. Box 3131 Milford, CT 06460 USA http://www.russell-enterprises.com [email protected] Cover by Fierce Ponies Printed in the United States of America 2 Table of Contents Author’s Preface 5 Foreword by Andy Soltis 7 Annotation Symbols and Frequently Used Abbreviations 10 Part I: Biographical Basics, Historical Background, Colleagues’ Reminiscences, and Memorial Tributes 12 Gedenkboek Colle by Max Euwe 15 Hans Kmoch in the Wiener Schachzeitung 25 Bataviaasch Nieuwsblad 26 Fred Reinfeld in Colle’s Chess Masterpieces 28 Part II: Annotated Games 29 Marvelous Miniatures 32 An Abundance of Brilliancies 51 Colle Lucks Out -
Issue 16, June 2019 -...CHESSPROBLEMS.CA
...CHESSPROBLEMS.CA Contents 1 Originals 746 . ISSUE 16 (JUNE 2019) 2019 Informal Tourney....... 746 Hors Concours............ 753 2 Articles 755 Andreas Thoma: Five Pendulum Retros with Proca Anticirce.. 755 Jeff Coakley & Andrey Frolkin: Multicoded Rebuses...... 757 Arno T¨ungler:Record Breakers VIII 766 Arno T¨ungler:Pin As Pin Can... 768 Arno T¨ungler: Circe Series Tasks & ChessProblems.ca TT9 ... 770 3 ChessProblems.ca TT10 785 4 Recently Honoured Canadian Compositions 786 5 My Favourite Series-Mover 800 6 Blast from the Past III: Checkmate 1902 805 7 Last Page 808 More Chess in the Sky....... 808 Editor: Cornel Pacurar Collaborators: Elke Rehder, . Adrian Storisteanu, Arno T¨ungler Originals: [email protected] Articles: [email protected] Chess drawing by Elke Rehder, 2017 Correspondence: [email protected] [ c Elke Rehder, http://www.elke-rehder.de. Reproduced with permission.] ISSN 2292-8324 ..... ChessProblems.ca Bulletin IIssue 16I ORIGINALS 2019 Informal Tourney T418 T421 Branko Koludrovi´c T419 T420 Udo Degener ChessProblems.ca's annual Informal Tourney Arno T¨ungler Paul R˘aican Paul R˘aican Mirko Degenkolbe is open for series-movers of any type and with ¥ any fairy conditions and pieces. Hors concours compositions (any genre) are also welcome! ! Send to: [email protected]. " # # ¡ 2019 Judge: Dinu Ioan Nicula (ROU) ¥ # 2019 Tourney Participants: ¥!¢¡¥£ 1. Alberto Armeni (ITA) 2. Rom´eoBedoni (FRA) C+ (2+2)ser-s%36 C+ (2+11)ser-!F97 C+ (8+2)ser-hsF73 C+ (12+8)ser-h#47 3. Udo Degener (DEU) Circe Circe Circe 4. Mirko Degenkolbe (DEU) White Minimummer Leffie 5. Chris J. Feather (GBR) 6. -
The Double Queen's Gambit
Alexey Bezgodov The Double Queen’s Gambit A Surprise Weapon for Black New In Chess 2015 Contents Explanation of Symbols .......................................... 6 Introduction .................................................. 7 Part I – White avoids the main variations . 11 Chapter 1 White accepts the gambit ........................14 Chapter 2 The white bishop comes out ......................17 Chapter 3 Transposing into the Alapin Variation of the Sicilian.....24 Chapter 4 Transposition into the Exchange Variation of the Slav Defence 27 Chapter 5 Transposition into the Panov Attack .................37 Part II – Who is tricking whom? 3 .♘f3 . 49. Chapter 6 The rare symmetrical endgame ....................51 Chapter 7 The mysterious black queen check .................56 Chapter 8 The centralised knights system ....................66 Part III – The queenless DQG: 3 .♘f3 cxd4 4 .cxd5 ♘f6 5 .♕xd4 ♕xd5 6 .♘c3 ♕xd4 7 .♘xd4 . 97 Chapter 9 7...a6 – Taking control of the square b5.............100 Chapter 10 7…♗d7 – The bishop-retention system ............129 Chapter 11 7...e5 – The move of the future? ..................143 Part IV – The Gorbatov Gambit and the imaginary Semi-Tarrasch: 3 .♘c3 . 155 Chapter 12 A fascinating gambit ...........................157 Chapter 13 The classical 3...♘f6 ...........................163 Part V – The Deferred Capture Variation: 3 .cxd5 ♘f6 . 177 Chapter 14 White takes on c5 .............................179 Chapter 15 The strong 4.e4...............................187 Chapter 16 An Attempt at Revival ..........................193 Part VI – The main variation: 3 .cxd5 ♕xd5 . 205 Chapter 17 Early divergences..............................208 Chapter 18 The Queen Retreats 5...♕d7/5...♕d8 .............217 Chapter 19 Minor white moves after 6...♘f6..................223 Chapter 20 The fianchetto 7.g3 ............................233 Part VII – Retro-Training . 247 Postscript...............................................278 Bibliography................................................ -
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. -
More About Checkmate
MORE ABOUT CHECKMATE The Queen is the best piece of all for getting checkmate because it is so powerful and controls so many squares on the board. There are very many ways of getting CHECKMATE with a Queen. Let's have a look at some of them, and also some STALEMATE positions you must learn to avoid. You've already seen how a Rook can get CHECKMATE XABCDEFGHY with the help of a King. Put the Black King on the side of the 8-+k+-wQ-+( 7+-+-+-+-' board, the White King two squares away towards the 6-+K+-+-+& middle, and a Rook or a Queen on any safe square on the 5+-+-+-+-% same side of the board as the King will give CHECKMATE. 4-+-+-+-+$ In the first diagram the White Queen checks the Black King 3+-+-+-+-# while the White King, two squares away, stops the Black 2-+-+-+-+" King from escaping to b7, c7 or d7. If you move the Black 1+-+-+-+-! King to d8 it's still CHECKMATE: the Queen stops the Black xabcdefghy King moving to e7. But if you move the Black King to b8 is CHECKMATE! that CHECKMATE? No: the King can escape to a7. We call this sort of CHECKMATE the GUILLOTINE. The Queen comes down like a knife to chop off the Black King's head. But there's another sort of CHECKMATE that you can ABCDEFGH do with a King and Queen. We call this one the KISS OF 8-+k+-+-+( DEATH. Put the Black King on the side of the board, 7+-wQ-+-+-' the White Queen on the next square towards the middle 6-+K+-+-+& and the White King where it defends the Queen and you 5+-+-+-+-% 4-+-+-+-+$ get something like our next diagram. -
1 Domination and the Five Queens Problem
Ordog, SWiM Graph Theory Project: Domination and The Five Queens Problem 1 Domination and The Five Queens Problem What is the smallest number of queens that we can place on a chessboard so that every space on the board is either occupied by a queen or being attacked by at least one queen? How can you use graph theory to find a suitable arrangement of queens on an n × n chessboard? To find a solution to this problem, you will learn about the dominating set of a graph. 1.1 Domination • A dominating set of a graph G is a set of vertices S such that each vertex of G is either in S or adjacent to a vertex in S. • What is the biggest dominating set of the graph below? • What is the biggest dominating set for any graph G? • Can you find a dominating set with three vertices? Two vertices? One? Give an example, or explain why not. 1.2 The domination number • The dominating number of a graph, denoted γ(G), is the smallest number of vertices in any dominating set of a graph G. • What is γ(G) for the above graph? Page 1 Ordog, SWiM Graph Theory Project: Domination and The Five Queens Problem • Recall that the complete graph on n vertices, Kn, is the graph with n vertices such that each vertex is adjacent to every other vertex (they are all connected by an edge). What is γ(Kn)? • Exercise: Find γ(G) for the following graphs ([Smi88]). Look for and discuss patterns that might help come up with algorithms for finding dominating sets.