Symmetry : Through the Eyes of Old Masters.

Intro -- Acknowledgments -- Contents -- Introduction -- 1 Fundamentalcategories -- 1.1 Symmetries of finite objects: Zero-dimensionalornaments -- 1.2 Friezes and guilloche -- 2 The convenient start: Plane groups of symmetry -- 3 Intertwined patterns: Layer groups of symmetry -- 4 Two-colored periodic ornamentation -- 5 Polychromatic patterns -- 6 Beyond 2D groups: Hypersymmetry, superstructures, two symmetries in one pattern, the "order-disorder" patterns, homothety and similarity, inversion and nonlinear patterns -- 6.1 Hypersymmetry -- 6.2 Superstructures and designs with several levels -- 6.3 Two or more symmetries in one pattern -- 6.4 Twinning -- 6.5 The "order-disorder" patterns -- 6.6 Homologous series -- 6.7 Inversion in a circle -- 6.8 Homothety and similarity -- 6.9 Chirality, enantiomorphs, hands -- 6.10 The nonlinear art of Hans Hinterreiter -- 7 Quasiperiodic patterns -- 8 Fractals and fractal character -- 9 Style and symmetry - symmetry and style -- References -- Index.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.