Symmetries of Islamic geometrical patterns:
Saved in:
| Format: | Book |
|---|---|
| Language: | English |
| Published: |
New Jersey [u.a.]
World Scientific
2007
|
| Edition: | Reprinted |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XXII, 16, 396 S. überw. Ill., graph. Darst. |
| ISBN: | 9789810217044 9810217048 |
Staff View
MARC
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| 020 | |a 9810217048 |9 981-02-1704-8 | ||
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| 245 | 1 | 0 | |a Symmetries of Islamic geometrical patterns |c Syed Jan Abas and Amer Shaker Salman |
| 250 | |a Reprinted | ||
| 264 | 1 | |a New Jersey [u.a.] |b World Scientific |c 2007 | |
| 300 | |a XXII, 16, 396 S. |b überw. Ill., graph. Darst. | ||
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Record in the Search Index
| _version_ | 1804140989019848704 |
|---|---|
| adam_text | 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
|
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| id | DE-604.BV035967871 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T22:08:44Z |
| institution | BVB |
| isbn | 9789810217044 9810217048 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-018861938 |
| oclc_num | 263764077 |
| open_access_boolean | |
| owner | DE-703 DE-11 DE-19 DE-BY-UBM |
| owner_facet | DE-703 DE-11 DE-19 DE-BY-UBM |
| physical | XXII, 16, 396 S. überw. Ill., graph. Darst. |
| publishDate | 2007 |
| publishDateSearch | 2007 |
| publishDateSort | 2007 |
| publisher | World Scientific |
| record_format | marc |
| spelling | Symmetries of Islamic geometrical patterns Syed Jan Abas and Amer Shaker Salman Reprinted New Jersey [u.a.] World Scientific 2007 XXII, 16, 396 S. überw. Ill., graph. Darst. txt rdacontent sti rdacontent n rdamedia nc rdacarrier 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 Abas, Syed Jan Sonstige oth Salman, Amer Shaker Sonstige oth Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018861938&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Symmetries of Islamic geometrical patterns 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 Syed Jan Abas and Amer Shaker Salman |
| title_fullStr | Symmetries of Islamic geometrical patterns Syed Jan Abas and Amer Shaker Salman |
| title_full_unstemmed | Symmetries of Islamic geometrical patterns Syed Jan Abas and Amer Shaker Salman |
| title_short | Symmetries of Islamic geometrical patterns |
| title_sort | symmetries of islamic geometrical patterns |
| topic | Islamische Kunst (DE-588)4138060-5 gnd Geometrisches Ornament (DE-588)4156731-6 gnd |
| topic_facet | Islamische Kunst Geometrisches Ornament |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018861938&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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