Overview

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

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9783110417050

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What this book does do is illustrate, with dozens and dozens of beautiful photographs (all of them taken by the author), how symmetry is found in all sorts of examples of classical art from around the world: mosaics, marble floors, windows, vases, etc. [...] I can't imagine it being used as a text in a mathematics course, but I can certainly see a professor showing slides from it to illustrate the mathematics that is learned from another source. And I can also see a professor just flipping through the pages of this book for fun, enjoying one beautiful photograph after another. MAA Reviews

Author Information

Emil Makovicky, University of Copenhagen, Denmark.

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