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.
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. Annotation c. Book News, Inc., Portland, OR (booknews.com)
Introduction. The Introduction of Designs by Symmetry Group. The Classification of Designs by Symmetry Group and Design Unit. The Classification of Discrete Patterns. The Classification of Isohedral Tilings.