Symmetries of Islamic Geometrical Patterns

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Product Details

  • ISBN-13: 9789810217044
  • Publisher: World Scientific Publishing Company, Incorporated
  • Publication date: 3/1/1995
  • Pages: 396
  • Product dimensions: 6.26 (w) x 8.87 (h) x 0.94 (d)

Table of Contents

Preface: About the Book
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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  • Anonymous

    Posted September 30, 2013

    I wish the authors would provide a detailed description.

    I wish the authors would provide a detailed description.

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