Hex Strategy: Making the Right Connections

Author:   Cameron Browne
Publisher:   Taylor & Francis Ltd
ISBN:  

9781138427600


Pages:   378
Publication Date:   18 December 2020
Format:   Hardback
Availability:   In Print   Availability explained
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Hex Strategy: Making the Right Connections


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Overview

Hex Strategy is the first book to offer a comprehensive look at the game of Hex, from its history and mathematical underpinnings to discussions of advanced playing techniques. This is first and foremost a book on strategy aimed at providing sufficient knowledge to play the game at any level desired. Numerous examples illustrate an algorithmic approach to the game. Hex Strategy is a book for board game enthusiasts, recreational mathematicians and programmers, or simply those who enjoy games and puzzles.

Full Product Details

Author:   Cameron Browne
Publisher:   Taylor & Francis Ltd
Imprint:   CRC Press
Weight:   0.453kg
ISBN:  

9781138427600


ISBN 10:   1138427608
Pages:   378
Publication Date:   18 December 2020
Audience:   General/trade ,  Professional and scholarly ,  General ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

Preface -- 1 Introduction -- 1.1 The Game of Hex -- 1.2 Rules of Play -- 1.3 History -- 1.4 Nature of the Game -- 1.5 The Shannon Switching Game -- 1.6 Current Literature -- 1.7 Board Representations -- Summary -- 2 Adjacency and Connectivity -- 2.1 Coordinate Systems and Adjacency -- 2.2 Chains -- 2.3 Connectivity -- Summary -- 3 Strategy I: Basic -- 3.1 Structural Development -- 3.2 Positional Play -- 3.3 General Strategies -- 3.4 Applying Basic Strategy -- Summary -- 4 Groups, Steps, and Paths -- 4.1 Groups -- 4.2 Steps -- 4.3 Paths -- 4.4 Groups from Paths -- Summary -- 5 Templates -- 5.1 Connection Templates -- 5.2 Template Intrusions -- 5.3 Multi-Piece Edge Templates -- Summary -- 6 Strategy II: Intermediate -- 6.1 Expand With Templates -- 6.2 Momentum -- 6.3 Forcing Moves -- 6.4 Home Area -- 6.5 Edge Awareness -- 6.6 Loose Connections -- 6.7 Reduce the Opponent’s Alternatives -- 6.8 Edge Defense -- 6.9 Stages of Play -- Summary -- 7 Ladders -- 7.1 Ladder Basics -- 7.2 Ladder Formation -- 7.3 Ladder Escapes -- 7.4 Ladder Escape Forks -- 7.5 Ladder Escape Foils -- 7.6 Getting Off Ladders -- 7.7 Partial Ladder Escapes -- Summary -- 8 Algorithmic Board Evaluation -- 8.1 The Algorithm -- 8.2 An Example -- 8.3 The Need for Groups -- 8.4 Optimizations -- 8.5 Features of the Algorithm -- Summary -- 9 Opening Play -- 9.1 Opening and Swapping -- 9.2 Common Opening Strategies -- 9.3 Adapt to the Situation -- 9.4 Even-Sided Boards -- Summary -- 10 Strategy III: Advanced -- 10.1 Multiple Threats Per Move -- 10.2 Don’t Provide Forcing Moves -- 10.3 Ladder Handling -- 10.4 Looking Ahead -- 10.5 Overall Game Plan -- Summary -- 11 Annotated Sample Games -- 11.1 Notation -- 11.2 Ladder Escapes Denied -- 11.3 Premature Resignation -- 11.4 How Not to Play -- 11.5 Another Point of View -- 12 Strategy IV: Essential -- 12.1 Opening Play -- 12.2 Start Blocking at a Distance -- 12.3 Bridges -- 12.4 Play Defensively -- 12.5 Edge Templates -- 12.6 Forcing Moves -- 12.7 Ladders -- 12.8 Spanning Paths -- 12.9 Multiple Threats Per Move -- 12.10 Looking Ahead -- 13 Hex Puzzles -- 13.1 Previously Published -- 13.2 Original -- 14 Conclusion -- 15 References -- 15.1 Publications -- 15.2 Online Resources -- Appendices -- A Solutions to Puzzles -- B Some Notes on Berge's Hex Problem -- C Sample Games -- D Proofs -- D.l One Player Must Win -- D.2 First Player to Win -- D.3 Acute Comer is a Losing Opening -- D.4 First Player Loses on n*(n + 1) Board Playing Wide -- D.5 No Simultaneously Opposed O-Connected Spanning Paths -- E Hex Variants -- E.l Variants on the Hex Board -- E.2 Other Hexagonal Connectivity Games -- E.3 Non-Hexagonal Connectivity Games -- E.4 Tile-Based Connectivity Games -- E.5 Mobile Pieces -- E.6 Three-Dimensional Connectivity Games -- F Blank Hex Boards -- G Polyhexes -- H Hex Programs -- I Glossary -- 1.1 Terms -- 1.2 Symbols -- 1.3 Path Algebra -- 1.4 Move Notation -- Index.

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