Geometric Symmetry in Patterns and Tilings

Geometric Symmetry in Patterns and Tilings
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.

Tilings and Patterns

Tilings and Patterns
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.

Tessellations

Tessellations
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

Symmetry and Tessellations

Symmetry and Tessellations
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.

The World of Patterns

The World of Patterns
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.

Geometric Tile Patterns

Geometric Tile Patterns
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.

Introductory Tiling Theory for Computer Graphics

Introductory Tiling Theory for Computer Graphics
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

Twists, Tilings, and Tessellations

Twists, Tilings, and Tessellations
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.

Computer Analysis of Images and Patterns

Computer Analysis of Images and Patterns
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.