Symmetries of Islamic geometrical patterns:
Gespeichert in:
Hauptverfasser: | , |
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Format: | Buch |
Sprache: | English |
Veröffentlicht: |
Singapore
World Scientific
1995
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Schlagworte: | |
Online-Zugang: | Inhaltsverzeichnis |
Beschreibung: | XXII, 396, [18] S. zahlr. Ill. |
ISBN: | 9810217048 |
Internformat
MARC
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Datensatz im Suchindex
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adam_text |
SYMMETRIES OF ISLAMIC GEOMETRICAL PATTERNS BY SYED JAN ABAS AND AMER
SHAKER SALMAN SCHOOL OF MATHEMATICS, UNIV. OF WALES BANGOR WITH
FOREWORDS BY AHMED MOUSTAFA CELEBRATED ARABIC CALLIGRAPHER AND SIR
MICHAEL ATIYAH OM, F.R.S,P.R.S. PRESIDENT OF THE ROYAL SOCIETY MASTER OF
TRINITY COLLEGE CAMBRIDGE WORLD SCIENTIFIC SINGAPORE * NEW JERSEY *
LONDON * HONG KONG CONTENTS PREFACE: ABOUT THE BOOK V ACKNOWLEDGMENTS ,
XI DEDICATION BY S. J. ABAS XIII DEDICATION BY A. S. SALMAN XV FOREWORD
BY MICHAEL ATIYAH XVII FOREWORD BY AHMED MOUSTAFA XIX 1. ISLAMIC
PATTERNS AND THEIR GEOMETRICAL STRUCTURES 1 1.1. ISLAMIC PATTERNS: AN
INTRODUCTION 2 1.1.1. TYPES OF PATTERNS 2 1.1.2. RECOGNIZABLE
CHARACTERISTICS 4 1.1.3. A DEFINITION 6 1.1.4. TURNING TO GEOMETRY 8
1.1.5. RELATED LITERATURE 12 1.2. GEOMETRICAL STRATEGIES AND STRUCTURES
14 1.2.1. KHATEM SULEMANI: THE MOST BASIC SHAPE 14 1.2.2. VARIATIONS ON
KHATEM SULEMANI 16 1.2.3. HARMONIOUS PROPORTIONS: THE SECRET OF BEAUTY
18 1.2.4. A COMPLEX PATTERN 19 1.2.5. GRIDS AND CIRCLES 21 1.2.6. THE
ZALIJ APPROACH TO ISLAMIC PATTERNS 24 1.3. CONCLUDING REMARKS 27 2. IN
PRAISE OF PATTERN, SYMMETRY, UNITY & ISLAMIC ART 29 2.1. IN PRAISE OF
PATTERN 30 2.1.1. IN PRAISE OF SYMMETRY 32 2.2. IN PRAISE OF UNITY 35
2.3. IN PRAISE OF ISLAMIC ART 36 2.3.1. ISLAMIC PATTERNS AND ATOMIC AND
MOLECULAR STRUCTURES 37 2.3.2. A CELEBRATION OF UNITY 39 2.4. CONCLUDING
REMARKS , 43 XXII CONTENTS 3. THE GATEWAY FROM ISLAMIC PATTERNS TO
INVARIANCE AND GROUPS 45 3.1. AN EXAMPLE OF SYMMETRIES OF AN ISLAMIC
PATTERN 46 3.2. THE KEY PROPERTY OF SYMMETRIC OBJECTS 54 3.2.1. FINITE
SYMMETRIC OBJECTS WITH CENTRES OF ROTATIONS AND LINES OF MIRROR
REFLECTIONS 54 3.2.2. INFINITE SYMMETRIC OBJECTS WITH TRANSLATIONS AND
LINES OF GLIDE REFLECTIONS 56 3.2.3. DEFINITION OF SYMMETRY FOR
GEOMETRICAL OBJECTS 57 3.2.4. SYMMETRY GROUP OF A GEOMETRIC OBJECT 58
3.2.5. THE FOUR SPECIAL PROPERTIES OF A SYMMETRY GROUP 59 3.3. THE
SYMMETRY GROUP OF AN ISLAMIC PATTERN 61 3.3.1. THE TRANSLATION
SYMMETRIES 62 3.3.2. THE ROTATION SYMMETRIES 63 3.3.3. THE MIRROR
REFLECTION SYMMETRIES 64 3.3.4. THE GLIDE REFLECTION SYMMETRIES 65
3.3.5. SYMMETRIES DEPICTED IN A UNIT CELL 65 3.4. SYMMETRY AND GROUPS IN
GENERAL 66 3.5. THE TWO GRAND QUESTIONS AND ONE THAT IS GRANDEST 69 3.6.
CONCLUDING REMARKS 71 4. CLASSIFICATION, IDENTIFICATION AND CONSTRUCTION
OF THE SEVENTEEN TYPES OF TWO-DIMENSIONAL PERIODIC PATTERNS 73 4.1.
CLASSIFICATION OF PATTERNS 74 4.1.1. THE FIVE NET TYPES 75 4.1.2. THE
SEVENTEEN PATTERN TYPES 76 4.1.3. THE INTERNATIONAL CRYSTALLOGRAPHIC
NOTATION 77 4.2. EXAMPLES OF THE SEVENTEEN TYPES OF PATTERNS FROM
ISLAMIC ART 79 4.3. IDENTIFYING THE SEVENTEEN PATTERN TYPES 108 4.4.
TILE-BASED ALGORITHMS FOR THE SEVENTEEN PATTERN TYPES 114 4.4.1. THE
NOTATION 114 4.4.2. THE PROCEDURE 115 4.4.3. AN EXAMPLE 115 4.5.
CONCLUDING REMARKS 116 5. ISLAMIC PATTERNS AND THEIR SYMMETRIES 135
5.0.1. RELATED WORKS 136 5.0.2. PREFERRED SYMMETRY TYPES IN THE ISLAMIC
CULTURE 138 5.1. CONCLUDING REMARKS 139 REFERENCES 389 INDEX 395 |
any_adam_object | 1 |
author | Abas, Syed Jan Salman, Amer Shaker |
author_facet | Abas, Syed Jan Salman, Amer Shaker |
author_role | aut aut |
author_sort | Abas, Syed Jan |
author_variant | s j a sj sja a s s as ass |
building | Verbundindex |
bvnumber | BV010706569 |
callnumber-first | N - Fine Arts |
callnumber-label | N6260 |
callnumber-raw | N6260 |
callnumber-search | N6260 |
callnumber-sort | N 46260 |
callnumber-subject | N - Visual Arts |
classification_rvk | SK 380 |
ctrlnum | (OCoLC)32221858 (DE-599)BVBBV010706569 |
dewey-full | 704.94897 |
dewey-hundreds | 700 - The arts |
dewey-ones | 704 - Special topics in fine and decorative arts |
dewey-raw | 704.94897 |
dewey-search | 704.94897 |
dewey-sort | 3704.94897 |
dewey-tens | 700 - The arts |
discipline | Kunstgeschichte Mathematik |
format | Book |
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indexdate | 2024-07-20T03:20:39Z |
institution | BVB |
isbn | 9810217048 |
language | English |
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owner | DE-12 |
owner_facet | DE-12 |
physical | XXII, 396, [18] S. zahlr. Ill. |
publishDate | 1995 |
publishDateSearch | 1995 |
publishDateSort | 1995 |
publisher | World Scientific |
record_format | marc |
spelling | Abas, Syed Jan Verfasser aut Symmetries of Islamic geometrical patterns by Syed Jan Abas and Amer Shaker Salman Singapore World Scientific 1995 XXII, 396, [18] S. zahlr. Ill. txt rdacontent n rdamedia nc rdacarrier Kunst Mathematik Art Mathematics Islamic art Islamic art and symbolism Repetitive patterns (Decorative arts) Islamic countries Symmetry (Art) Islamische Kunst (DE-588)4138060-5 gnd rswk-swf Geometrisches Ornament (DE-588)4156731-6 gnd rswk-swf Geometrisches Ornament (DE-588)4156731-6 s Islamische Kunst (DE-588)4138060-5 s DE-604 Salman, Amer Shaker Verfasser aut GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007147453&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
spellingShingle | Abas, Syed Jan Salman, Amer Shaker Symmetries of Islamic geometrical patterns Kunst Mathematik Art Mathematics Islamic art Islamic art and symbolism Repetitive patterns (Decorative arts) Islamic countries Symmetry (Art) Islamische Kunst (DE-588)4138060-5 gnd Geometrisches Ornament (DE-588)4156731-6 gnd |
subject_GND | (DE-588)4138060-5 (DE-588)4156731-6 |
title | Symmetries of Islamic geometrical patterns |
title_auth | Symmetries of Islamic geometrical patterns |
title_exact_search | Symmetries of Islamic geometrical patterns |
title_full | Symmetries of Islamic geometrical patterns by Syed Jan Abas and Amer Shaker Salman |
title_fullStr | Symmetries of Islamic geometrical patterns by Syed Jan Abas and Amer Shaker Salman |
title_full_unstemmed | Symmetries of Islamic geometrical patterns by Syed Jan Abas and Amer Shaker Salman |
title_short | Symmetries of Islamic geometrical patterns |
title_sort | symmetries of islamic geometrical patterns |
topic | Kunst Mathematik Art Mathematics Islamic art Islamic art and symbolism Repetitive patterns (Decorative arts) Islamic countries Symmetry (Art) Islamische Kunst (DE-588)4138060-5 gnd Geometrisches Ornament (DE-588)4156731-6 gnd |
topic_facet | Kunst Mathematik Art Mathematics Islamic art Islamic art and symbolism Repetitive patterns (Decorative arts) Islamic countries Symmetry (Art) Islamische Kunst Geometrisches Ornament |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007147453&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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