xxii, 396 pages : illustrations (some color) ; 22 cm
Contents
Dedication / S. J. Abas -- Dedication / A. S. Salman -- Foreword / Michael Atiyah -- Foreword / Ahmed Moustafa -- 1. Islamic Patterns and Their Geometrical Structures. 1.1. Islamic Patterns: An Introduction. 1.2. Geometrical Strategies and Structures -- 2. In Praise of Pattern, Symmetry, Unity & Islamic Art. 2.1. In Praise of Pattern. 2.2. In Praise of Unity. 2.3. In Praise of Islamic Art-- 3. The Gateway from Islamic Patterns to Invariance and Groups. 3.1. An Example of Symmetries of an Islamic Pattern. 3.2. The Key Property of Symmetric Objects. 3.3. The Symmetry Group of an Islamic Pattern. 3.4. Symmetry and Groups in General. 3.5. The Two Grand Questions and One that is Grandest -- 4. Classification, Identification and Construction of the Seventeen Types of Two-Dimensional Periodic Patterns. 4.1. Classification of Patterns. 4.2. Examples of the Seventeen Types of Patterns from Islamic Art. 4.3. Identifying the Seventeen Pattern Types
4.4. Tile-Based Algorithms for the Seventeen Pattern Types -- 5. Islamic Patterns and Their Symmetries
Bibliography
Includes bibliographical references (pages 389-393) and index
