UID:
edoccha_9960073630802883
Format:
1 online resource (249 p.)
ISBN:
1-280-37232-X
,
9786610372324
,
1-85573-895-3
Series Statement:
Woodhead Publishing Series in Textiles
Content:
This book encompasses a wide range of mathematical concepts relating to regularly repeating surface decoration from basic principles of symmetry to more complex issues of graph theory, group theory and topology. It presents a comprehensive means of classifying and constructing patterns and tilings. The classification of designs is investigated and discussed forming a broad basis upon which designers may build their own ideas. A wide range of original illustrative material is included.In a complex area previously best understood by mathematicians and crystallographers, the author develo
Note:
Description based upon print version of record.
,
Front Cover; Geometric Symmetry in Patterns and Tilings; Copyright Page; Dedication; Table of Contents; Foreword; Acknowledgements; Chapter 1.Introduction; References; Chapter 2.Classification of designs by symmetry group; 2.1 Introduction; 2.2 Symmetry and its relevance to designs; 2.3 Symmetry operations; 2.4 Symmetry group; 2.5 Figures and designs; 2.6 Classification of finite designs; 2.7 Structure of translational designs; 2.8 Generating functions; 2.9 Classification of monotranslational designs; 2.10 Classification of ditranslational designs; 2.11 Construction of finite designs
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2.12 Construction of monotranslational designs2.13 Construction of ditranslational designs; 2.14 Summary; References; Chapter 3.Classification of designs by symmetry group and design unit; 3.1 Introduction; 3.2 Notation; 3.3 Finite designs; 3.4 Monotranslational designs; 3.5 Ditranslational designs; 3.6 Construction of finite designs; 3.7 Construction of monotranslational designs; 3.8 Construction of ditranslational designs; 3.9 Summary; References; Chapter 4.Classification of discrete patterns; 4.1 Introduction; 4.2 Monomotif pattern; 4.3 Discrete pattern; 4.4 Primitive pattern
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4.5 Induced motif groups4.6 Motif-transitive subgroups; 4.7 Classification of finite discrete pattern types; 4.8 Classification of monotranslational discrete pattern types; 4.9 Classification of ditranslational discrete pattern types; 4.10 Construction of finite pattern types; 4.11 Construction of monotranslational discrete pattern types; 4.12 Construction of ditranslational discrete pattern types; 4.13 Summary; References; Chapter 5.Classification of isohedral tilings; 5.1 Introduction; 5.2 Isohedral tiling; 5.3 Dirichlet tiling; 5.4 Topology of tilings; 5.5 Incidence symbols
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5.6 Marked isohedral tilings5.7 Classification of finite isohedral tiling types; 5.8 Classification of monotranslational isohedral tiling types; 5.9 Classification of ditranslational isohedral tiling types; 5.10 Construction of finite isohedral tiling types; 5.11 Construction of monotranslational isohedral tiling types; 5.12 Construction of ditranslational isohedral tiling types; 5.13 Summary; References; Chapter 6.Summary and conclusions; References; Index
,
English
Additional Edition:
ISBN 1-85573-492-3
Language:
English
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