INTRODUCTION -- PLANE TESSELLATIONS: Types of Tessellations -- PLANE TESSELLATIONS: The Mathematics of Tessellations -- PLANE TESSELLATIONS: Summary -- TRANSFORMATIONS AND SYMMETRY: Translations -- TRANSFORMATIONS AND SYMMETRY: Rotations -- TRANSFORMATIONS AND SYMMETRY: Reflections -- TRANSFORMATIONS AND SYMMETRY: Plane Symmetry -- TRANSFORMATIONS AND SYMMETRY: Summary -- ALTERING BY TRANSLATION: Altering Parallelograms by Translation -- ALTERING BY TRANSLATION: Altering Hexagons by Translation -- ALTERING BY TRANSLATION: Summary -- ALTERING BY ROTATION: Altering Polygons by Rotation of Sides -- ALTERING BY ROTATION: Altering Polygons by Rotation of Half-Sides -- ALTERING BY ROTATION: Altering Polygons by Rotation of Sides and Half-Sides -- ALTERING BY ROTATION: Summary -- ALTERING BY REFLECTION AND ROTATION: Altering Triangles by Reflection -- ALTERING BY REFLECTION AND ROTATION: Altering Triangles by Reflection and Rotation -- ALTERING BY REFLECTION AND ROTATION: Altering Rhombi by Reflection and Rotation -- ALTERING BY REFLECTION AND ROTATION: Altering Hexagons by Reflection and Rotation -- ALTERING BY REFLECTION AND ROTATION: Summary -- SUMMARY OF CHAPTERS ONE THROUGH FIVE -- ANALYZING ESCHER'S TESSELLATIONS -- USING IMAGINATION AND SPECIAL TECHNIQUES -- WORKSHEETS FOR DEVELOPING TECHNIQUES: Practicing Drawing Translations, Reflections, and Rotations -- WORKSHEETS FOR DEVELOPING TECHNIQUES: Creating Tessellations by Translation -- WORKSHEETS FOR DEVELOPING TECHNIQUES: Creating Tessellations by Rotation -- WORKSHEETS FOR DEVELOPING TECHNIQUES: Creating Tessellations by Reflection and Rotation -- SELECTED GRIDS -- BIBLIOGRAPHY -- APPENDIX: ESCHER'S LIFE AND ART.
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