Geometric Symmetry in Patterns and Tilings (Woodhead Publishing Series in Textiles)

Horne began her studies in pure and applied mathematics, then turned to textile design for her graduate work, and went on to teach design construction techniques in the context of screen printed textiles. Here she develops mathematical ideas from such areas as geometry, graph theory, and topology and applies them in the context of repeating designs. She shows how the principles of rhythmic expansion, many developed in crystallography, can be applied to achieve balance and harmony within the design of textile and other forms of surface decorations. Her goal is to make complex theories and ideas easily accessible to artists and designers so that they can use them to increase their creativity and design potential 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 will also be of value to crystallographers, mathematicians and architects. Published in association with The Textile Institute 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. This book explores a wide range of mathematical concepts relating to regularly repeating surface decoration and provides a comprehensive means of classifying patterns and tilings. It covers issues from basic concepts of symmetry to more complex issues such as graph theory, group theory, and topology. The author elaborately illustrates the concepts, thereby rendering this complex area-previously best understood by mathematicians and crystallographers-accessible to artists and designers. Although it focuses principally on the characteristics of surface-pattern designs, the material addresses all types of surface designs, including textiles, wallpapers, and building and wrapping materials. This book is an extremely valuable guide for textile designers, artists, designers, architects, and anyone interested in the geometric aspects and applications of surface designs, patterns, and tilings. 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. All these concepts are extensively illustrated with over 1000 original illustrations. A complex area, previously best understood by mathematicians and crystallographers, is made accessible here to artists and designers Clare E. Horne Geometric symmetry in patterns and tilings (2000) (ISBN 1855734923) Horne C.E. Geometric symmetry in patterns and tilings (2000)(ISBN 1855734923)