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| Introduction | p. 5 |
| Why Games and Why Chess? | p. 7 |
| Game Characteristics | p. 7 |
| The Suitability of Chess | p. 7 |
| Checkers | p. 8 |
| Go | p. 8 |
| Chosen Game | p. 9 |
| A Brief History of Computer Chess | p. 10 |
| Machack | p. 10 |
| Chess 3.0 | p. 11 |
| Cray Blitz | p. 12 |
| Belle | p. 12 |
| Hitech | p. 13 |
| The 'Deep' Range | p. 13 |
| How Computers Play Chess | p. 15 |
| Machine Representation of the Chess Board | p. 15 |
| The Move Generator | p. 15 |
| Evaluation | p. 16 |
| Piece Ratio Exchange | p. 17 |
| Search | p. 17 |
| Pruning the Search | p. 18 |
| Horizon effect | p. 18 |
| Techniques for Improving search | p. 18 |
| Opening Books | p. 19 |
| Endgame database | p. 19 |
| Killer Moves | p. 19 |
| Transposition Tables | p. 20 |
| Human Chess Playing Methods | p. 21 |
| Perception | p. 21 |
| Chunks | p. 22 |
| Contrasting Human and Computer Methods | p. 23 |
| Principles of Beauty | p. 25 |
| Successfully Violate Heuristics | p. 25 |
| Use the Weakest Possible Piece | p. 26 |
| Use All of the Piece's Power | p. 26 |
| Give More Aesthetic Weight to the Critical Pieces | p. 27 |
| Use One Giant Piece in Place of Several Minor Pieces | p. 28 |
| Employ Themes | p. 28 |
| Avoid Bland Stereotopy | p. 29 |
| Neither Strangeness nor difficulty produce beauty | p. 30 |
| A Discussion of Margulies' Paper | p. 31 |
| Applying Margulies Principles to Chess Puzzles | p. 32 |
| Accepted Principles | p. 32 |
| Rejected Principles | p. 33 |
| All Pieces | p. 34 |
| Implementing Heuristics in Chess | p. 35 |
| Standard Heuristics | p. 35 |
| Beauty Heuristics | p. 36 |
| The Program | p. 37 |
| Object Orientated Design | p. 37 |
| Output data | p. 38 |
| Favoured Moves and the '[lambda]' Parameter | p. 39 |
| Improved Results from 'Favoured Moves' | p. 40 |
| Testing | p. 40 |
| Complexity in Mating Problems | p. 41 |
| Source of Test Data | p. 41 |
| Method of Testing | p. 42 |
| Standard Deviation | p. 43 |
| Results | p. 44 |
| Results for twenty two puzzlies | p. 45 |
| Chosen Problems | p. 47 |
| Mate in 2 problems | p. 48 |
| Mate in 3 problems | p. 49 |
| Two extra Mate in 4 and 5 problems | p. 50 |
| Results for Twenty two problems (with 'Favoured Moves') | p. 52 |
| Chosen Problems (with 'Favoured Moves') | p. 54 |
| Mate in 2 problems (with 'Favoured Moves') | p. 55 |
| Mate in 3 problems (with 'Favoured Moves') | p. 56 |
| Two extra Mate in 4 and 5 problems (with 'Favoured Moves') | p. 57 |
| Factors Arrising From the Results | p. 58 |
| Complexity | p. 58 |
| Performance of Individual Heuristics | p. 60 |
| Aggression | p. 61 |
| Conclusion | p. 62 |
| Bibliography | p. 64 |
| The Chess Board | p. 69 |
| Computer Representation | p. 71 |
| Heuristics | p. 73 |
| Sample Text Output | p. 76 |
| Summary Tables | p. 80 |
| All the Puzzles in Detail | p. 83 |
| Tables of Results | p. 108 |
| Table of Contents provided by Syndetics. All Rights Reserved. |
Beautiful Mates : Applying Principles of Beauty to Computer Chess Heuristics
by Walls, Ben P.Format: Paperback
Pub. Date: 1997-12-01
Publisher(s): Lightning Source Inc
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