Twists, Tilings, And Tessellations, Lang

Автор: C E Horne
Название: Geometric Symmetry in Patterns and Tilings,
ISBN: 1855734923 ISBN-13(EAN): 9781855734920
Издательство: Elsevier Science
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Цена: 21423 р.
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Описание: 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.

Автор: Sherman Stein, Sandor Szab?
Название: Algebra and Tiling
ISBN: 0883850419 ISBN-13(EAN): 9780883850411
Издательство: Cambridge Academ
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Цена: 3105 р.
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Описание: Often questions about tiling space or a polygon lead to questions concerning algebra. For instance, tiling by cubes raises questions about finite abelian groups. Tiling by triangles of equal areas soon involves Sperner's lemma from topology and valuations from algebra. The first six chapters of Algebra and Tiling form a self-contained treatment of these topics, beginning with Minkowski's conjecture about lattice tiling of Euclidean space by unit cubes, and concluding with Laczkowicz's recent work on tiling by similar triangles. The concluding chapter presents a simplified version of R?dei's theorem on finite abelian groups. Algebra and Tiling is accessible to undergraduate mathematics majors, as most of the tools necessary to read the book are found in standard upper level algebra courses, but teachers, researchers and professional mathematicians will find the book equally appealing.

Автор: DiLeonardo Parker Benjamin
Название: Six Simple Twists
ISBN: 1482244616 ISBN-13(EAN): 9781482244618
Издательство: Taylor&Francis
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Цена: 3810 р.
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Описание: Get Started with Tessellation Folding Six Simple Twists: The Pleat Pattern Approach to Origami Tessellation Design explains the process of designing an origami pattern. It answers the questions "how is a tessellation folded" and "what are the further possibilities." The author introduces an innovative pleat pattern technique of origami design that is easily accessible to anyone who enjoys the geometry of paper. The book begins with basic forms and systematically builds upon them to teach a limitless number of patterns. It then describes a process of design for the building blocks themselves. At the end, what emerges is a fascinating art form that will enrich folders for many years. Unlike standard, project-based origami books, Six Simple Twists focuses on how to design rather than construct. This leads to a better understanding of more complicated tessellations at the advanced level.