Geometric Symmetry In Patterns And Tilings
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Author | : C E Horne |
Publisher | : Woodhead Publishing |
Total Pages | : 256 |
Release | : 2000-10-23 |
Genre | : Architecture |
ISBN | : 1855734923 |
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.
Author | : Branko Grünbaum |
Publisher | : W H Freeman & Company |
Total Pages | : 446 |
Release | : 1989 |
Genre | : Mathematics |
ISBN | : 9780716719984 |
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.
Author | : Robert Fathauer |
Publisher | : CRC Press |
Total Pages | : 443 |
Release | : 2020-12-07 |
Genre | : Mathematics |
ISBN | : 0429589239 |
Tessellations: Mathematics, Art and Recreation aims to present a comprehensive introduction to tessellations (tiling) at a level accessible to non-specialists. Additionally, it covers techniques, tips, and templates to facilitate the creation of mathematical art based on tessellations. Inclusion of special topics like spiral tilings and tessellation metamorphoses allows the reader to explore beautiful and entertaining math and art. The book has a particular focus on ‘Escheresque’ designs, in which the individual tiles are recognizable real-world motifs. These are extremely popular with students and math hobbyists but are typically very challenging to execute. Techniques demonstrated in the book are aimed at making these designs more achievable. Going beyond planar designs, the book contains numerous nets of polyhedra and templates for applying Escheresque designs to them. Activities and worksheets are spread throughout the book, and examples of real-world tessellations are also provided. Key features Introduces the mathematics of tessellations, including symmetry Covers polygonal, aperiodic, and non-Euclidean tilings Contains tutorial content on designing and drawing Escheresque tessellations Highlights numerous examples of tessellations in the real world Activities for individuals or classes Filled with templates to aid in creating Escheresque tessellations Treats special topics like tiling rosettes, fractal tessellations, and decoration of tiles
Author | : Jill Britton |
Publisher | : |
Total Pages | : 0 |
Release | : 2000 |
Genre | : Mathematics |
ISBN | : |
Collects hands-on activities and lesson plans for students in grades five through eight that investigate symmetry and geometric shapes.
Author | : Brian Wichmann |
Publisher | : World Scientific |
Total Pages | : 36 |
Release | : 2001 |
Genre | : Mathematics |
ISBN | : 9789810246198 |
Collection of tiling patterns contains over 4,000 images combining art and mathematics.
Author | : Jay Friedenberg |
Publisher | : Lulu.com |
Total Pages | : 220 |
Release | : 2013-06-12 |
Genre | : Art |
ISBN | : 1304129713 |
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.
Author | : Clare Elizabeth Horne |
Publisher | : |
Total Pages | : |
Release | : 1997 |
Genre | : |
ISBN | : |
Author | : Craig S. Kaplan |
Publisher | : Morgan & Claypool Publishers |
Total Pages | : 103 |
Release | : 2009 |
Genre | : Computers |
ISBN | : 1608450171 |
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
Author | : Robert J. Lang |
Publisher | : CRC Press |
Total Pages | : 716 |
Release | : 2017-12-22 |
Genre | : Mathematics |
ISBN | : 148226241X |
Twists, Tilings, and Tessellation describes the underlying principles and mathematics of the broad and exciting field of abstract and mathematical origami, most notably the field of origami tessellations. It contains folding instructions, underlying principles, mathematical concepts, and many beautiful photos of the latest work in this fast-expanding field.
Author | : Ainhoa Berciano |
Publisher | : Springer |
Total Pages | : 598 |
Release | : 2011-08-19 |
Genre | : Computers |
ISBN | : 3642236782 |
The two volume set LNCS 6854/6855 constitutes the refereed proceedings of the International Conference on Computer Analysis of Images and Patterns, CAIP 2011, which took place in Seville, Spain, August 29-31, 2011. The 138 papers presented together with 2 invited talks were carefully reviewed and selected from 286 submissions. The papers are organized in topical section on: motion analysis, image and shape models, segmentation and grouping, shape recovery, kernel methods, medical imaging, structural pattern recognition, Biometrics, image and video processing, calibration; and tracking and stereo vision.