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

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## Revision as of 18:46, 28 January 2009

## Part 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 |

## Part 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 |

## Appendix **Elementary Geometry**

Basic Concepts | Points, Lines, Segments, Angles etc. | Squares, Rectangles, Parallelograms and Other Polygons |