Symmetries of Islamic Geometrical Patterns
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Preface: About the BookAcknowledgmentsDedicationDedicationForewordForeword1Islamic Patterns and Their Geometrical Structures11.1Islamic Patterns: An Introduction21.2Geometrical Strategies and Structures142In Praise of Pattern, Symmetry, Unity & Islamic Art292.1In Praise of Pattern302.2In Praise of Unity352.3In Praise of Islamic Art363The Gateway from Islamic Patterns to Invariance and Groups453.1An Example of Symmetries of an Islamic Pattern463.2The Key Property of Symmetric Objects543.3The Symmetry Group of an Islamic Pattern613.4Symmetry and Groups in General663.5The Two Grand Questions and One that is Grandest694Classification, Identification and Construction of the Seventeen Types of Two-Dimensional Periodic Patterns734.1Classification of Patterns744.2Examples of the Seventeen Types of Patterns from Islamic Art794.3Identifying the Seventeen Pattern Types1084.4Tile-Based Algorithms for the Seventeen Pattern Types1145Islamic Patterns and Their Symmetries135References389Index395
