The Electronic Library of Mathematics:
Mathematical Monographs

 CONTENTS

Preface

Chapter 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

Chapter 2 : Theory of Isometric Symmetry Groups in E² and Ornamental Art

§ 2.1. Symmetry Groups of Rosettes G₂₀
§ 2.2. Rosettes and Ornamental Art
§ 2.3. Symmetry Groups of Friezes G₂₁
§ 2.4. Friezes and Ornamental Art
§ 2.5. Symmetry Groups of Ornaments G₂
§ 2.6. Ornaments G₂ and Ornamental Art

Chapter 3 : Similarity Symmetry in E²

§ 3.1. Similarity Symmetry Groups of Rosettes S₂₀
§ 3.2. Similarity Symmetry Rosettes and Ornamental Art

Chapter 4 : Conformal Symmetry in E²\{O}

§ 4.1. Conformal Symmetry Groups in E²\{O}
§ 4.2. Conformal Symmetry Rosettes and Ornamental Art

Chapter 5 : The Theory of Symmetry and Ornamental Art

References

Notation Index

Index