# Difference between revisions of "Math and the Art of M. C. Escher"

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{{toc-chapter|Symmetry and Isometries}} | {{toc-chapter|Symmetry and Isometries}} | ||

{{toc-section|Introduction to Symmetry|Fish-vignette.jpg|Reflections, rotations, and rosette patterns. Color symmetry.}} | {{toc-section|Introduction to Symmetry|Fish-vignette.jpg|Reflections, rotations, and rosette patterns. Color symmetry.}} | ||

− | {{toc-section|Frieze Patterns| | + | {{toc-section|Frieze Patterns|Borderpattern-square.jpg|Translations, glide reflections, and frieze patterns.}} |

{{toc-section|Wallpaper Patterns| Wallpaper group-p2-3.jpg |Translations, glide reflections, and frieze patterns.}} | {{toc-section|Wallpaper Patterns| Wallpaper group-p2-3.jpg |Translations, glide reflections, and frieze patterns.}} | ||

{{toc-section|Isometry Groups|Pfm-reptiles.jpg|Isometries. Composition. Multiplication tables. Groups of isometries.}} | {{toc-section|Isometry Groups|Pfm-reptiles.jpg|Isometries. Composition. Multiplication tables. Groups of isometries.}} |

## Revision as of 15:24, 28 January 2009

## One **Euclidean and Non-Euclidean Geometry**

Introduction to Mathematics and M.C. Escher | M.C. Escher | Escher on Display | Fundamental Concepts | |||||

Symmetry and Isometries | Introduction to Symmetry | Frieze Patterns | Wallpaper Patterns | Isometry Groups | ||||

Tessellations | Introduction to Tessellations | Tessellations by Polygons | Tessellations by Recognizable Figures | Aperiodic Tessellations | ||||

Non-Euclidean Geometry | Introduction to Non-Euclidean Geometry | Spherical Geometry | Hyperbolic Geometry | The Three Geometries | ||||

Activities For Part One |
Seeking Symmetry | Tessellation Art Project | Non-Euclidean Geometry Project |

## Two **Topics in Geometry and Mathematics**

Similarity and Fractals | Similarity Transformations | Fractals | ||||

Art and Perception | Depth and Perspective | The Fourth Dimension | ||||

Topology | The Mobius Band and Other Surfaces | Knot Theory | ||||

Egyptian Mathematics | History and Numbers | The Mathematical Papyri | The Pyramids | |||

Activities For Part Two |
The Saint Louis Art Museum | Flatland and the Fourth Dimension | Art and Mathematics Project |