Geometric Symmetry in Patterns and Tilings - 1st Edition - ISBN: 9781855734920, 9781855738959

Geometric Symmetry in Patterns and Tilings

1st Edition

Authors: C E Horne
eBook ISBN: 9781855738959
Hardcover ISBN: 9781855734920
Imprint: Woodhead Publishing
Published Date: 23rd October 2000
Page Count: 256
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Table of Contents

Classification of designs by symmetry group; Classification of designs by symmetry group and design unit; Classification of discrete patterns; Classification of isohedral tilings.


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.


Textile designers, artists, designers, architects; Crystallographers; Mathematicians; Architects


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© Woodhead Publishing 2000
Woodhead Publishing
eBook ISBN:
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About the Authors

C E Horne Author

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.

Affiliations and Expertise

University of Leeds, UK