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Symmetries of Islamic Geometrical Patterns [Hardcover]

Syed Jan Abas , Jan A. Syed , Amer Shaker Salman
5.0 out of 5 stars  See all reviews (2 customer reviews)

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Book Description

December 1994 9810217048 978-9810217044
The book is about symmetric geometric patterns of Islamic art. It has educational, aesthetic, cultural and practical purposes. The central purpose of the book is to bring to the attention of the world in general and the people of the Islamic countries in particular, the potential of this art in the context of mathematical education. This book sets out to place the study of Islamic patterns within the wider framework of symmetry. The symmetry structure of about 250 Islamic patterns is presented. Simple algorithms suitable for modern computer graphics are given for the construction of two-dimensional periodic patterns. This book should be suitable for both the lay reader keen to explore Islamic art and the specialized mathematician.

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Editorial Reviews

From Scientific American

"... a masterly account of the way in which art and science are combined into aesthetic beauty by the Islamic geometric designs and motifs which decorate much of the Eastern World."

From The New Yorker

"... This book will allow readers to travel through time and space, from ancient ornaments to the most modern computer graphics patterns."

Product Details

  • Hardcover: 396 pages
  • Publisher: World Scientific Publishing Company (December 1994)
  • Language: English
  • ISBN-10: 9810217048
  • ISBN-13: 978-9810217044
  • Product Dimensions: 6.5 x 9 inches
  • Shipping Weight: 1.6 pounds
  • Average Customer Review: 5.0 out of 5 stars  See all reviews (2 customer reviews)
  • Amazon Best Sellers Rank: #2,291,265 in Books (See Top 100 in Books)

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Most Helpful Customer Reviews
12 of 17 people found the following review helpful
5.0 out of 5 stars Rich source of information January 27, 2001
In 1944, Edith Muller claimed that all the 17 wallpaper groups were found in Alhambra. Unfortunately, her paper only contained 11 of them. Grunbaum and Shephard found two more, and finally in 1987 Perez-Gomez found the missing four.
The book includes pictures and discussions of all the 17 wallpaper groups. Unfortunately, it does not include pictures of the "missing" patterns from Alhambra. For that you have to go to J.M. Montesinos: Classical Tessellations and Three-Manifolds.
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3 of 4 people found the following review helpful
5.0 out of 5 stars Fascinating June 19, 2009
By D K
...This book shows how each pattern is constructed. First showing the over all tiling and revealing the basic unit of each, then showing how the transformational rules ( of rotation and mirroring etc.) are applied. It is amazing how complex a pattern may be created from an extremely simple beginning. It contains a few color plates, but its real strength is in the 250 black and white islamic patterns, each with unit cell, and template motif which demonstrate the constructions. Many of the patterns, analyzed are those originally shown in "Arabic Geometrical Pattern and Design" (Dover Pictorial Archive Series) by J. Bourgoin.
...The first half of the book mainly covers Zalij shapes, the nature and properties of symmetry, invariance groups, the 17 groups, their identification, and algorithms for them.
...This book is perhaps more for those interested in symmetry than those interested in drawing islamic patterns.
...The black and white patterns are all of single line width, and thus show no interlacing.
..."Pattern in Islamic Art" by David Wade, ( isbn 0879510420 ) contains interlace patterns from page 78 to 105, but it is not a book about symmetry, it utilizes a grid method of construction.
..."Islamic Geometric Patterns" by Eric Broug ( SBN-10: 050028721X ISBN-13: 978-0500287217 ) shows the use of a compass on pages 22 and 23 to creat double line width, but has no full plates showing the weaving as does David Wade's book.
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