Symmetries of Islamic Geometrical Patterns

Front Cover
World Scientific, Dec 30, 1994 - Mathematics - 440 pages

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 Simple, but detailed original, unpublished algorithms suitable for modern computer graphics are given for the construction of two-dimensional periodic patterns.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.

 

Contents

Chapter 1 ISLAMIC PATTERNS AND THEIR GEOMETRICAL STRUCTURES
1
Chapter 2 IN PRAISE OF PATTERNSYMMETRY UNITY ISLAMIC ART
29
Chapter 3 THE GATEWAY FROM ISLAMIC PATTERNS TO INVARIANCE AND GROUPS
45
Chapter 4 CLASSIFICATIONIDENTIFICATION AND CONSTRUCTION OF THE SEVENTEEN TYPES OF TWODIMENSIONAL PERIODIC PA...
73
Chapter 5 ISLAMIC PATTERNS AND THEIRSYMMETRIES
135
REFERENCES
389
INDEX
395
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