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.

Tilings and Patterns: An Introduction presents in convenient paperback form the first half of Tilings and Patterns. Omitting the more specialized material of the earlier volume, this abbreviated edition make's the authors' contributions to tiling theory and its practical applications accessible to a wide audience.

Collects hands-on activities and lesson plans for students in grades five through eight that investigate symmetry and geometric shapes.

Collection of tiling patterns contains over 4,000 images combining art and mathematics.

This book contains 1,000 geometric tile patterns presented in full color. They can be used for a variety of art, design, and craftwork applications including architectural ornament, fashion design, graphic design, illustration and fine art, jewelry, knitting and needlecraft, logo and trademark creation, package design, pottery and ceramics, quilt patterns, rug and carpets, sculpture and metalwork, textile and clothing patterns, tiles, wallpaper patterns, and web and app design. This is the most comprehensive collection of such patterns and is available now for the first time. Samples from all of the major geometric categories are included. Brief descriptions of each category are provided along with a list of online and book resources. Alternate versions of each pattern are provided to serve as an inspiration for creating your own. Electronic copies of the images are available from the author.

Tiling theory is an elegant branch of mathematics that has applications in several areas of computer science. The most immediate application area is graphics, where tiling theory has been used in the contexts of texture generation, sampling theory, remeshing, and of course the generation of decorative patterns. The combination of a solid theoretical base (complete with tantalizing open problems), practical algorithmic techniques, and exciting applications make tiling theory a worthwhile area of study for practitioners and students in computer science. This synthesis lecture introduces the mathematical and algorithmic foundations of tiling theory to a computer graphics audience. The goal is primarily to introduce concepts and terminology, clear up common misconceptions, and state and apply important results. The book also describes some of the algorithms and data structures that allow several aspects of tiling theory to be used in practice. Table of Contents: Introduction / Tiling Basics / Symmetry / Tilings by Polygons / Isohedral Tilings / Nonperiodic and Aperiodic Tilings / Survey