Symbol Pattern And Symmetry

Symbol, Pattern and Symmetry: The Cultural Significance of Structure investigates how pattern and symbol has functioned in visual arts, exploring how connections and comparisons in geometrical pattern can be made across different cultures and how the significance of these designs has influenced craft throughout history. The book features illustrative examples of symbol and pattern from a wide range of historical and cultural contexts, from Byzantine, Persian and Assyrian design, to case studies of Japanese and Chinese patterns. Looking at each culture's specific craft style, Hann shows how the visual arts are underpinned with a strict geometric structure, and argues that understanding these underlying structures enables us to classify and compare data from across cultures and historical periods. Richly illustrated with both colour and black and white images, and with clear, original commentary, the book enables students, practitioners, teachers and researchers to explore the historical and cultural significance of symbol and pattern in craft and design, ultimately displaying how a geometrical dialogue in design can be established through history and culture.

This groundbreaking collaboration between an anthropologist and a mathematician constitutes both a collection of symmetrical pattern designs from many cultures and a monograph on pattern design and the classification of symmetrical patterns. Intended for art historians, anthropologists, classical archaeologists, and others interested in the study of material culture, it can also serve as a reference and inspiration for the use of symmetrical patterns in art and design. "This richly illustrated study brings to light dozens of intriguing examples of symmetrical designs, for instance, in a Zulu loincloth, a Japanese chopstick case, a New England quilt, a Tibetan 'Plaque of a Thousand Lamas,' a Hawaiian water gourd. The same pattern found in a fantastical drawing of lizards by M. C. Escher is echoed in a Fijian basket lid and an Egyptian wall mosaic." — Publishers Weekly "This extremely useful guide to classifying plane pattern designs … is extensively illustrated with carvings, textiles, baskets, tiles, and poetry, which are used as examples of various symmetry patterns." — American Anthropologist "An impressive book—both in terms of its physical appearance and its content ... will undoubtedly become the major reference on the analysis of patterns in terms of symmetry properties." — Antiquity

The two volumes together offer readers a new window into the communicative importance of design."--Jacket.

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.

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.

This book on symmetric geometric patterns of Islamic art has educational, aesthetic, cultural and practical purposes. Its central purpose is to bring to the attention of the world in general, and the people of Islamic culture in particular, the potential of the art for providing a unified experience of science and art in the context of mathematical education. Unlike other books on Islamic patterns, this book emphasizes the educational potential in the context of modern physics, chemistry, crystallography and computer graphics. The symmetric structure of about 250 Islamic patterns is presented. Simple, but detailed original, unpublished algorithms suitable for modern computer graphics are given for the construction of two-dimensional periodic patterns. Endorsed by prominent experts from the fields of Physics to Systems and Cybernetics, this book promises to be a must-read, not only for specialised mathematicians, but also for students, graphic artists, illustrators, computer hobbyists, as well as the lay reader keen to explore Islamic art.

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.

A large range of symmetries in art is presented through clear and aesthetically outstanding examples of historical ornaments. Compendious comments illustrate the selected photographic material by addressing the interested and specialist reader alike. Contents: Introduction Fundamental categories The convenient start: Plane groups of symmetry Intertwined patterns: Layer groups of symmetry Two-colored periodic ornamentation Polychromatic patterns Beyond 2D groups: Hypersymmetry, superstructures, two symmetries in one pattern, the "order-disorder" patterns, homothety and similarity, inversion and nonlinear patterns Quasiperiodic patterns Fractals and fractal character Style and symmetry – symmetry and style References Index