Geometric Symmetry in Patterns and Tilings
Seiten
2000
Woodhead Publishing Ltd (Verlag)
978-1-85573-492-0 (ISBN)
Woodhead Publishing Ltd (Verlag)
978-1-85573-492-0 (ISBN)
This book covers a wide range of mathematical concepts as they are applied to regularly repeating surface decoration for textiles and other decorated materials such as wallpapers and wrappings. Starting with basic principles of symmetry it moves on to cover more complex issues of graph theory, group theory and topology.
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 develops and applies mathematical thinking to the context of regularly repeating surface-pattern design in a manner accessible to artists and designers. Design construction is covered from first principles through to methods appropriate for adaptation to large-scale screen-printing production. The book extends mathematical thinking beyond symmetry group classification. New ideas are developed involving motif orientation and positioning, including reference to a crystal structure, leading on to the classification and construction of discrete patterns and isohedral tilings.Designed to broaden the scope of surface-pattern designers by increasing their knowledge in otherwise impenetrable theory of geometry this 'designer friendly' book serves as a manual for all types of surface design including textiles, wallpapers and wrapping paper. It is also of value to crystallographers, mathematicians and architects.
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 develops and applies mathematical thinking to the context of regularly repeating surface-pattern design in a manner accessible to artists and designers. Design construction is covered from first principles through to methods appropriate for adaptation to large-scale screen-printing production. The book extends mathematical thinking beyond symmetry group classification. New ideas are developed involving motif orientation and positioning, including reference to a crystal structure, leading on to the classification and construction of discrete patterns and isohedral tilings.Designed to broaden the scope of surface-pattern designers by increasing their knowledge in otherwise impenetrable theory of geometry this 'designer friendly' book serves as a manual for all types of surface design including textiles, wallpapers and wrapping paper. It is also of value to crystallographers, mathematicians and architects.
Clare Horne holds an honours degree in pure and applied mathematics and a post graduate diploma in textile design. Her PhD at the University of Leeds combined the two disciplines of mathematics and design.
Classification of designs by symmetry group; Classification of designs by symmetry group and design unit; Classification of discrete patterns; Classification of isohedral tilings.
| Erscheint lt. Verlag | 23.10.2000 |
|---|---|
| Reihe/Serie | Woodhead Publishing Series in Textiles |
| Verlagsort | Cambridge |
| Sprache | englisch |
| Maße | 210 x 279 mm |
| Gewicht | 1050 g |
| Themenwelt | Kunst / Musik / Theater ► Design / Innenarchitektur / Mode |
| Informatik ► Grafik / Design ► Desktop Publishing / Typographie | |
| Mathematik / Informatik ► Mathematik ► Angewandte Mathematik | |
| Mathematik / Informatik ► Mathematik ► Geometrie / Topologie | |
| Technik | |
| ISBN-10 | 1-85573-492-3 / 1855734923 |
| ISBN-13 | 978-1-85573-492-0 / 9781855734920 |
| Zustand | Neuware |
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