Geometric symmetry in patterns and tilings
β Scribed by C.E. Horne
- Publisher
- Textile Industries; CRC Press
- Year
- 2000
- Tongue
- English
- Leaves
- 246
- Edition
- 1
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Synopsis
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
π SIMILAR VOLUMES
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.
Symmetry and Pattern in Projective Geometry is a self-contained study of projective geometry which compares and contrasts the analytic and axiomatic methods. The analytic approach is based on homogeneous coordinates, and brief introductions to PluΜcker coordinates and Grassmann coordinates are pre
"Remarkable...It will surely remain the unique reference in this area for many years to come." Roger Penrose , Nature "...an outstanding achievement in mathematical education." Bulletin of The London Mathematical Society "I am enormously impressed...Will be the definitive reference on tiling theory