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Author: Branko Grünbaum
Publisher: W H Freeman & Company
ISBN: 9780716719984
Category : Mathematics
Languages : en
Pages : 446
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Book Description
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: Branko Grünbaum
Publisher: W H Freeman & Company
ISBN: 9780716719984
Category : Mathematics
Languages : en
Pages : 446
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Book Description
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: C E Horne
Publisher: Elsevier
ISBN: 1855738953
Category : Technology & Engineering
Languages : en
Pages : 249
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Book Description
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.
Author: Robert Fathauer
Publisher: CRC Press
ISBN: 0429589239
Category : Mathematics
Languages : en
Pages : 443
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Book Description
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: George E. Martin
Publisher: American Mathematical Soc.
ISBN: 1470457342
Category : Mathematics
Languages : en
Pages : 184
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Book Description
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."
Author: Drusilla Cole
Publisher: Chronicle Books
ISBN: 9780811839792
Category : Design
Languages : en
Pages : 788
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Book Description
"Arranged by period and style, you can see at a glance patterns used from ancient to contemporary times. A handy pattern finder up front makes it easy to locate and cross-reference any motif or design in the book. Whether you have a long-standing interest in art and ornamentation or a newfound curiosity, you'll find 1000 Patterns an intriguing reference and fascinating history."--BOOK JACKET.
Author: Robert J. Lang
Publisher: CRC Press
ISBN: 148226241X
Category : Mathematics
Languages : en
Pages : 603
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Book Description
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: Jinny Beyer
Publisher: McGraw-Hill
ISBN:
Category : Patchwork
Languages : en
Pages : 264
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Book Description
Jinny Beyer deftly interweaves inspiration and technique to create a guide to tessellations, amazing motifs, that interlock perfectly to flow across a surface. Learn the mystery of how complex designs are achieved and how thousands of patterns are possible by manipulating the simplest of shapes.
Author: Branko Grünbaum
Publisher: Courier Dover Publications
ISBN: 0486469816
Category :
Languages : en
Pages : 723
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Book Description
Author: Branko Grunbaum
Publisher: W.H. Freeman
ISBN: 9780716711940
Category : Tiling (Mathematics)
Languages : en
Pages : 700
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Book Description
semesterhylde.
Author: Alan Holden
Publisher: Courier Corporation
ISBN: 9780486268514
Category : Mathematics
Languages : en
Pages : 218
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Book Description
Explains structure of nine regular solids and many semiregular solids and demonstrates how they can be used to explain mathematics. Instructions for cardboard models. Over 300 illustrations. 1971 edition.
