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.
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Annotation 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.