Geometric Symmetry in Patterns and Tilings

C E Horne

• Publisher: Woodhead Publishing
• Year: 2000
• Print ISBN:
  9781855734920
• eBook ISBN:
  9781855738959
• Topic: Design
• Subtopic: Industrial Design

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.

Table of contents

• Front Cover
• Geometric Symmetry in Patterns and Tilings
• Copyright Page
• Table of Contents
• Dedication
• Foreword
• Acknowledgements
• Chapter 1. Introduction
• Chapter 2. Classification of designs by symmetry group
• Chapter 3. Classification of designs by symmetry group and design unit
• Chapter 4. Classification of discrete patterns
• Chapter 5. Classification of isohedral tilings
• Chapter 6. Summary and conclusions
• Index