Tilings And Patterns
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Tilings And Patterns
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Author : Branko Grünbaum
language : en
Publisher:
Release Date : 1989
Tilings And Patterns written by Branko Grünbaum and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Combinatorial designs and configurations categories.
Geometric Symmetry In Patterns And Tilings
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Author : C E Horne
language : en
Publisher: Elsevier
Release Date : 2000-10-23
Geometric Symmetry In Patterns And Tilings written by C E Horne and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-10-23 with Technology & Engineering categories.
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. The classification of designs is investigated and discussed forming a broad basis upon which designers may build their own ideas. A wide range of original illustrative material is included.In a complex area previously best understood by mathematicians and crystallographers, the author develops and applies mathematical thinking to the context of regularly repeating surface-pattern design in a manner accessible to artists and designers. Design construction is covered from first principles through to methods appropriate for adaptation to large-scale screen-printing production. The book extends mathematical thinking beyond symmetry group classification. New ideas are developed involving motif orientation and positioning, including reference to a crystal structure, leading on to the classification and construction of discrete patterns and isohedral tilings.Designed to broaden the scope of surface-pattern designers by increasing their knowledge in otherwise impenetrable theory of geometry this 'designer friendly' book serves as a manual for all types of surface design including textiles, wallpapers and wrapping paper. It is also of value to crystallographers, mathematicians and architects.
Twists Tilings And Tessellations
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Author : Robert J. Lang
language : en
Publisher: CRC Press
Release Date : 2017-12-22
Twists Tilings And Tessellations written by Robert J. Lang and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-12-22 with Mathematics categories.
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.
Tilings And Patterns
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Author : Branko Grünbaum
language : en
Publisher: Courier Dover Publications
Release Date :
Tilings And Patterns written by Branko Grünbaum and has been published by Courier Dover Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Indra S Pearls
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Author : David Mumford
language : en
Publisher: Cambridge University Press
Release Date : 2002-04-25
Indra S Pearls written by David Mumford and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-04-25 with Computers categories.
Felix Klein, one of the great nineteenth-century geometers, rediscovered in mathematics an idea from Eastern philosophy: the heaven of Indra contained a net of pearls, each of which was reflected in its neighbour, so that the whole Universe was mirrored in each pearl. Klein studied infinitely repeated reflections and was led to forms with multiple co-existing symmetries. For a century these ideas barely existed outside the imagination of mathematicians. However in the 1980s the authors embarked on the first computer exploration of Klein's vision, and in doing so found many further extraordinary images. Join the authors on the path from basic mathematical ideas to the simple algorithms that create the delicate fractal filigrees, most of which have never appeared in print before. Beginners can follow the step-by-step instructions for writing programs that generate the images. Others can see how the images relate to ideas at the forefront of research.
Tile Designs
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Author : Leila Adam
language : en
Publisher:
Release Date : 2009
Tile Designs written by Leila Adam and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Tile laying categories.
Detailed color illustrations show ready-to-use tiling patterns with guidance on how to use the patterns, easy mosaic techniques to create original patterns, and how to lay tiles for do-it-yourself projects. Makes it easy to create intricate effects and complex mosaic designs using off-the-shelf tiles in standard colors.
Introductory Tiling Theory For Computer Graphics
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Author : Craig Kaplan
language : en
Publisher: Springer Nature
Release Date : 2022-06-01
Introductory Tiling Theory For Computer Graphics written by Craig Kaplan and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-06-01 with Mathematics categories.
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
How To Make Repeat Patterns
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Author : Paul Jackson
language : en
Publisher: Laurence King Publishing
Release Date : 2018-04-10
How To Make Repeat Patterns written by Paul Jackson and has been published by Laurence King Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-04-10 with Crafts & Hobbies categories.
This book explains, in simple steps and non-mathematical terminology, how to create repeat patterns in a line, on the plane, as tiles, and as Escher-like repeats. The book also shows how to make 'wallpaper repeats', where the elements of the pattern merge into each other, apparently seamlessly. Using letters as the basic elements, the book demonstrates how all repeat pattern-making comes out of four simple operations: translation, rotation, reflection, and glide reflection. It will provide the definitive one-stop pattern-making resource for professional designers and students across disciplines, from textiles and fashion to graphic design and architecture.
Polyominoes A Guide To Puzzles And Problems In Tiling
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Author : George E. Martin
language : en
Publisher: American Mathematical Soc.
Release Date : 2020-08-03
Polyominoes A Guide To Puzzles And Problems In Tiling written by George E. Martin and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-08-03 with Mathematics categories.
Polyominoes will delight not only students and teachers of mathematics at all levels, but will be appreciated by anyone who likes a good geometric challenge. There are no prerequisites. If you like jigsaw puzzles, or if you hate jigsaw puzzles but have ever wondered about the pattern of some floor tiling, there is much here to interest you. A polyomino is a shape cut along the lines from square graph paper; the pronunciation of polyomino begins as does polygon and ends as does domino. Tilings, also called tessellations of mosaic patterns, are older than civilization itself. Tiling with polyominoes provides challenges that range from the popular jigsaw-like puzzles to easily understood mathematical research problems. You will find unsolved puzzles and problems of both kinds here. Answers are provided for most of the problems that have known solutions. It is only fair to repeat here the warning stated in the preface to this book, "Playing with polyominoes can be habit forming."
Tessellations
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Author : Robert Fathauer
language : en
Publisher: A K Peters/CRC Press
Release Date : 2020
Tessellations written by Robert Fathauer and has been published by A K Peters/CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020 with Mathematics categories.
"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"--