Symmetries of Islamic Geometrical Patterns

Symmetries of Islamic Geometrical Patterns

3.0 1
by Salman Amer Shaker, Ahmed Moustafa, Amer Shaker Salman, Amer S. Salman
     
 

ISBN-10: 9810217048

ISBN-13: 9789810217044

Pub. Date: 03/01/1995

Publisher: World Scientific Publishing Company, Incorporated

This book on symmetric geometric patterns of Islamic art has educational, aesthetic, cultural and practical purposes. Its central purpose is to bring to the attention of the world in general, and the people of Islamic culture in particular, the potential of the art for providing a unified experience of science and art in the context of mathematical education. Unlike…  See more details below

Overview

This book on symmetric geometric patterns of Islamic art has educational, aesthetic, cultural and practical purposes. Its central purpose is to bring to the attention of the world in general, and the people of Islamic culture in particular, the potential of the art for providing a unified experience of science and art in the context of mathematical education. Unlike other books on Islamic patterns, this book emphasizes the educational potential in the context of modern physics, chemistry, crystallography and computer graphics. The symmetric structure of about 250 Islamic patterns is presented. Simple, but detailed original, unpublished algorithms suitable for modern computer graphics are given for the construction of two-dimensional periodic patterns. Endorsed by prominent experts from the fields of Physics to Systems and Cybernetics, this book promises to be a must-read, not only for specialised mathematicians, but also for students, graphic artists, illustrators, computer hobbyists, as well as the lay reader keen to explore Islamic art.

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Product Details

ISBN-13:
9789810217044
Publisher:
World Scientific Publishing Company, Incorporated
Publication date:
03/01/1995
Pages:
396
Product dimensions:
6.26(w) x 8.87(h) x 0.94(d)

Table of Contents

Preface: About the Book
Acknowledgments
Dedication
Dedication
Foreword
Foreword
1Islamic Patterns and Their Geometrical Structures1
1.1Islamic Patterns: An Introduction2
1.2Geometrical Strategies and Structures14
2In Praise of Pattern, Symmetry, Unity & Islamic Art29
2.1In Praise of Pattern30
2.2In Praise of Unity35
2.3In Praise of Islamic Art36
3The Gateway from Islamic Patterns to Invariance and Groups45
3.1An Example of Symmetries of an Islamic Pattern46
3.2The Key Property of Symmetric Objects54
3.3The Symmetry Group of an Islamic Pattern61
3.4Symmetry and Groups in General66
3.5The Two Grand Questions and One that is Grandest69
4Classification, Identification and Construction of the Seventeen Types of Two-Dimensional Periodic Patterns73
4.1Classification of Patterns74
4.2Examples of the Seventeen Types of Patterns from Islamic Art79
4.3Identifying the Seventeen Pattern Types108
4.4Tile-Based Algorithms for the Seventeen Pattern Types114
5Islamic Patterns and Their Symmetries135
References389
Index395

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Symmetries of Islamic Geometrical Patterns 3 out of 5 based on 0 ratings. 1 reviews.
Anonymous More than 1 year ago
I wish the authors would provide a detailed description.