Screen LibrarySymmetry, ornament and modularity /
This book discusses the origins of ornamental art - illustrated by the oldest examples, dating mostly from the paleolithic and neolithic ages, and considered from the theory-of-symmetry point of view. Because of its multidisciplinary nature, it will interest a wide range of readers: mathematicians,...
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| Main Authors: | |
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| Corporate Authors: | |
| Published: |
World Scientific Pub. Co.,
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| Publisher Address: | Singapore ; River Edge, N.J. : |
| Publication Dates: | 2002. |
| Literature type: | eBook |
| Language: | English |
| Series: |
K & E series on knots and everything ; v. 30 |
| Subjects: | |
| Online Access: |
http://www.worldscientific.com/worldscibooks/10.1142/5031#t=toc |
| Summary: |
This book discusses the origins of ornamental art - illustrated by the oldest examples, dating mostly from the paleolithic and neolithic ages, and considered from the theory-of-symmetry point of view. Because of its multidisciplinary nature, it will interest a wide range of readers: mathematicians, artists, art historians, architects, psychologists, and anthropologists. The book represents the complete analysis of plane symmetry structures, so it can be used by artists as a guide to the creation of new symmetry patterns. Some parts of the contents (such as Chapter 4, about conformal symmetry, and Chapter 6, about modularity in art) give the reader an opportunity to develop computer programs for producing images illustrating the corresponding symmetry forms. |
| Carrier Form: | 1 online resource (x,329pages) : illustrations. |
| Bibliography: | Includes bibliographical references and index. |
| ISBN: | 9789812777034 (electronic bk.) |
| CLC: | J525 |
| Contents: | ch. 1. Introduction. 1.1. Geometry and its basic terms. 1.2. Transformations and symmetry groups. 1.3. Classification of symmetry transformations and groups. 1.4. Visual interpretations of symmetry groups. 1.5. Construction methods. Desymmetrizations. 1.6. Symbols of symmetry groups. 1.7. Geometric-visual analysis of symmetry groups -- ch. 2. Theory of isometric symmetry groups in E[symbol] and ornamental art. 2.1. Symmetry groups of rosettes G[symbol]. 2.2. Symmetry groups of friezes G[symbol]. 2.3. Symmetry groups of ornaments G[symbol] -- ch. 3. Similarity symmetry in E[symbol]. 3.1. Similarity symmetry groups of rosettes S[symbol] -- ch. 4. Conformal symmetry in E[symbol]\{O}. 4.1. Conformal symmetry groups in E[symbol] \ {O} -- ch. 5. The theory of symmetry and ornamental art -- ch. 6. Modularity in art. |