symmetries of islamic geometrical patterns

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Symmetries Of Islamic Geometrical Patterns

Author : S. J. Abas
ISBN : 9810217048
Genre : Mathematics
File Size : 44. 99 MB
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... a major contribution to the world of science and of particular value to the documention of the culture of Islam. N Gedal ... 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. M Evans ... This book will allow readers to travel through time and space, from ancient ornaments to the most modern computer graphics patterns. C. Pickover Ever since the discovery of the existence of seventeen space groups in two dimensions by Fedorov in 1891, it has been speculated that all seventeen could be found in Islamic art. But it is in this book that this remarkable fact is for the first time detailed and analysed, with beautiful illustrations. Rarely is there such a thought-provoking blend of esthetics and geometry with abstraction. C N Yang Geometrical form. Here, mathematics combines with art and exhibits clearly its aesthetic appeal Islamic patterns provide a marvellous illustration of symmetry and Drs. Abas and Salman perform a useful service by taking this as their theme and blending it with ideas on computer graphics. Foreword by Michael Atiyah Abas and Salman have assembled a fascinating collection that combines art, history, culture, science, mathematics and philosophy. Their examples range from a 12th-century minaret in Uzbekistan via the Alhambra in Granada to modern computer graphics of Koranic calligraphy on dodecahedrons and tori. They conclude by speculating on the prospect of creating Islamic patterns in virtual reality, where 'a seeker after unity in science and art would be able to submerge himself or herself in exquisite Alhambras of the mind'.Judging by the evidence presented here, it would be an unforgettable experience. New Scien

Symmetries Of Islamic Geometrical Patterns

Author : Syed Jan Abas
ISBN : 9789814502214
Genre : Mathematics
File Size : 90. 85 MB
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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:Islamic Patterns and Their Geometrical StructuresIn Praise of Pattern, Symmetry, Unity and Islamic ArtThe Gateway from Islamic Patterns to Invariance and GroupsClassification, Identification and Construction of the Seventeen Types of Two-Dimensional Periodic PatternsIslamic Patterns and Their Symmetries Readership: General. keywords:Islamic Patterns;Islamic Tiles;Islamic Art;Muslim Art;Islamic Culture;Pattern;Symmetry;Tile;Tiling;Geometrical Pattern;Geometrical Art;Mathematical Art;Alhambra;Science and Art “Symmetry is one of the most important and pervasive principles in Mathematics, particularly in its Geometrical form. Here, mathematics combines with art and exhibits clearly its aesthetic appeal. Islamic patterns provide a marvellous illustration of symmetry and Drs. Abas and Salman perform a useful service by taking this as their theme and blending it with ideas on computer graphics.” Foreword by Michael Atiyah “… a major contribution to the world of science and of particular value to the documention of the culture of Islam.” N Gedal “… This book will allow readers to travel through time and space, from ancient ornaments to the most modern computer graphics patterns.” C Pickover “Ever since the discovery of the existence of seventeen space groups in two dimensions by Fedorov in 1891, it has been speculated that all seventeen could be found in Islamic art. But it is in this book that this remarkable fact is for the first time detailed and analysed, with beautiful illustrations. Rarely is there such a thought-provoking blend of esthetics and geometry with abstraction.” C N Yang “Abas and Salman have assembled a fascinating collection that combines art, history, culture, science, mathematics and philosophy. Their examples range from a 12th-century minaret in Uzbekistan via the Alhambra in Granada to modern computer graphics of Koranic calligraphy on dodecahedrons and tori. They conclude by speculating on the prospect of creating Islamic patterns in virtual reality, where ‘a seeker after unity in science and art would be able to submerge himself or herself in exquisite Alhambras of the mind’. Judging by the evidence presented here, it would be an unforgettable experience.” New Scientist “The authors' love for Islamic art and symmetry shines through every page of this book.” The Chemical Intelligencer “The authors' data can be used both for re-creating the original patterns as well as for the production of new variations and perhaps exploitation via CAD/CAM implementations. This involves a new method for extracting numerical data for use with computer graphics. The book is very richly illustrated with lovely color plates and some beautiful photographs.” Mathematical Reviews

Beyond The Symmetries Of Islamic Geometric Patterns

Author : Wasma'a Khalid Chorbachi
ISBN : OCLC:23472703
Genre : Geometry
File Size : 73. 16 MB
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Islamic Geometric Design

Author : Eric Broug
ISBN : 0500516952
Genre : Architecture
File Size : 31. 44 MB
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Islamic geometric designs are admired worldwide for their beauty and marvellous intricacy, yet in truth they are seldom understood. Indeed, their complexity and artistry can seem almost beyond the powers of human ingenuity. In this handsomely illustrated volume, artist and teacher Eric Broug analyses and explains these complex designs in their historical and physical context. His own original drawings accompany magnificent photographs of mosques, madrasas, palaces and tombs from the Islamic world, ranging from North Africa to Iran and Uzbekistan, and from the 8th to the 19th centuries. Chapters are devoted to each of the main families of geometric design fourfold, fivefold and sixfold and to the complex combined patterns. Every design is carefully explained, and illustrated with a wealth of stunning photographs and clear, meticulously detailed drawings. Readers can follow the design processes by which these patterns were created and even learn to reproduce and invent geometric patterns for themselves, using exactly the same tools as the Islamic craftsmen of old: a ruler and a pair of compasses.

Islamic Geometric Patterns

Author : Jay Bonner
ISBN : 9781441902177
Genre : Mathematics
File Size : 48. 36 MB
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The main focus of this unique book is an in-depth examination of the polygonal technique; the primary method used by master artists of the past in creating Islamic geometric patterns. The author details the design methodology responsible for this all-but-lost art form and presents evidence for its use from the historical record, both of which are vital contributions to the understanding of this ornamental tradition. Additionally, the author examines the historical development of Islamic geometric patterns, the significance of geometric design within the broader context of Islamic ornament as a whole, the formative role that geometry plays throughout the Islamic ornamental arts (including calligraphy, the floral idiom, dome decoration, geometric patterns, and more), and the underexamined question of pattern classification. Featuring over 600 beautiful color images, Islamic Geometric Patterns: Their Historical Development and Traditional Methods of Con struction is a valuable addition to the literature of Islamic art, architecture and geometric patterns. This book is ideal for students and scholars of geometry, the history of mathematics, and the history of Islamic art, architecture, and culture. In addition, artists, designers, craftspeople, and architects will all find this book an exceptionally informative and useful asset in their fields. Jay Bonner is an architectural ornamentalist and unaffiliated scholar of Islamic geometric design. He received his MDes from the Royal College of Art in London (1983). He has contributed ornamental designs for many international architectural projects, including the expansion of both the al-Masjid al-Haram (Grand Mosque) in Mecca, and the al-Masjid an Nawabi (Prophet’s Mosque) in Medina, as well the Tomb of Sheikh Hujwiri in Lahore, and the Ismaili Centre in London – to name but a few. He is committed to the revitalization of Islamic geometric design through the teaching of traditional methodological practices. To this end, in addition to publishing, Jay Bonner has lectured and taught design seminars at many universities and conferences in North America, Europe, North Africa and Asia.

Islamic Geometric Patterns

Author : Eric Broug
ISBN : 050028721X
Genre : Art
File Size : 49. 59 MB
Format : PDF
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Geometric patterns are perhaps the most recognizable visual expressions of Islamic art and architecture, magnificent in their beauty and awe-inspiring in their execution. Now, with the aid of this book, anyone can learn how to master this ancient art and create intricate patterns or re-create classic examples. An introduction guides the reader through the basics, and is followed by some of the best examples of geometric patterns from around the world, arranged into three levels of complexity, with careful, step-by-step instructions taking the reader through the stages of composition. The book also includes a CD-ROM, allowing you to experiment with Islamic geometric patterns on the computer.

Arabic Geometrical Pattern And Design

Author : J. Bourgoin
ISBN : 9780486155319
Genre : Design
File Size : 41. 58 MB
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Nearly 200 examples exhibit the wide range of Islamic art, including hexagon and octagon designs, combinations of stars and rosettes, and many variations on other geometric patterns.

Pattern In Islamic Art

Author : David Wade
ISBN : UCSD:31822011986544
Genre : Art
File Size : 54. 77 MB
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Islamic Design

Author : Daud Sutton
ISBN : 9781912706037
Genre : Art
File Size : 54. 66 MB
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Across the Islamic world, illuminating Korans from Morocco to Malaysia, and adorning mosques, mausoleums and palaces, are hidden some of the most exquisite geometrical devices ever conceived by man. In this excellent little book, geometer Daud Sutton unravels the mystery of Islamic patterns, explaining where they come from, how to draw them, and hinting at the Divine messages they encode. WOODEN BOOKS are small but packed with information. "Fascinating" FINANCIAL TIMES. "Beautiful" LONDON REVIEW OF BOOKS. "Rich and Artful" THE LANCET. "Genuinely mind-expanding" FORTEAN TIMES. "Excellent" NEW SCIENTIST. "Stunning" NEW YORK TIMES. Small books, big ideas.

Draw Islamic Geometric Star Patterns

Author : Eric Broug
ISBN : 9781311364951
Genre :
File Size : 62. 54 MB
Format : PDF
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Learn how to draw seven geometric star patterns from around the Islamic world, using only a pencil, straight edge, and a pair of compasses. Patterns featured are from Baghdad, Fes, Cairo, Konya, Delhi and Damascus. Suitable for ages 9 and up. No calculations are necessary. The least complicated way of learning Islamic geometric design is to understand and use the same techniques that craftsmen in the Islamic world have used for centuries. These craftsmen were not mathematicians; they knew how to make things with their hands but they did not use measurements or calculate angles to make their compositions. Their tools were a pair of compasses, a ruler and a pencil. By drawing lines, circles and arcs they were able to make all their patterns and compositions. This is also how you will be able to draw these patterns.This book will teach you how to draw seven different star patterns. All the patterns in this book can be made without calculations and measurements. They can be made by hand or on a computer. All you need to be able to do is draw circles and lines. The tools you need if you are drawing by hand are a pair of compasses, a ruler and pencils. Each pattern is constructed in a step-by-step process.

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