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Book Categories |
Preface: About the Book | ||
Acknowledgments | ||
Dedication | ||
Dedication | ||
Foreword | ||
Foreword | ||
1 | Islamic Patterns and Their Geometrical Structures | 1 |
1.1 | Islamic Patterns: An Introduction | 2 |
1.2 | Geometrical Strategies and Structures | 14 |
2 | In Praise of Pattern, Symmetry, Unity & Islamic Art | 29 |
2.1 | In Praise of Pattern | 30 |
2.2 | In Praise of Unity | 35 |
2.3 | In Praise of Islamic Art | 36 |
3 | The Gateway from Islamic Patterns to Invariance and Groups | 45 |
3.1 | An Example of Symmetries of an Islamic Pattern | 46 |
3.2 | The Key Property of Symmetric Objects | 54 |
3.3 | The Symmetry Group of an Islamic Pattern | 61 |
3.4 | Symmetry and Groups in General | 66 |
3.5 | The Two Grand Questions and One that is Grandest | 69 |
4 | Classification, Identification and Construction of the Seventeen Types of Two-Dimensional Periodic Patterns | 73 |
4.1 | Classification of Patterns | 74 |
4.2 | Examples of the Seventeen Types of Patterns from Islamic Art | 79 |
4.3 | Identifying the Seventeen Pattern Types | 108 |
4.4 | Tile-Based Algorithms for the Seventeen Pattern Types | 114 |
5 | Islamic Patterns and Their Symmetries | 135 |
References | 389 | |
Index | 395 |
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