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Outline

  1. Symmetry, Transformation and Tessellation
    1. Single Transformation
    2. Combine Transformations
    3. Patterns
    4. Transformation Commands
    5. Tessellation Commands
    6. Wallpaper Symmetry
    7. Special Tiles

    Symmetry, Transformation and Tessellation

    Author:Arthur Lee, GeoGebra Institute of Hong Kong
    Topic:Symmetry
    These worksheets are extracted from course materials of MATS3210 Excursions in Geometry and Algebra with GeoGebra Session 2: Symmetries and Transformations Session 3: Tessellation
    Symmetry, Transformation and Tessellation

    Table of Contents

    • Single Transformation

      • Translation
      • Reflection
      • Rotation
      • Glide Reflection
      • Dilation
    • Combine Transformations

      • Two reflections
      • Two rotations
      • Rotation and Translation
      • Rotation and Reflection
    • Patterns

      • Kaleidoscope
      • Kaleidoscope with 3 mirrors
      • Line patterns from sequence of dilation
      • Dilation Animated
      • Dilations of a star
      • Repeated dilation and rotation
      • Repeated rotation
      • Spiral from polygons
      • square pattern
      • Equiangular Spiral
      • Equiangular Spiral on Nautilus Shell
      • Rotating and Dilating Squares
      • Rotating and Dilating Hexagons
      • combining spirals
      • Translate Dots
    • Transformation Commands

      • Rotation and Dilation
      • Using sequence command
      • More about sequence
      • Modify triangle spiral
      • Other spirals
      • Different sequences
    • Tessellation Commands

      • Translation in 2 directions
      • Simple tessellation
      • Setup for tessellation
      • Common tessellations
      • making pentagonal tiles
    • Wallpaper Symmetry

      • Download Wallpaper Files
      • p1
      • p2
      • p3
      • p3m1 (kaleidoscope 60)
      • p31m
      • p4 (pinwheel)
      • p4m
      • p4g
      • p6
      • p6m (kaleidoscope 30)
      • pm
      • pg
      • pmm
      • pgg
      • pmg
      • cm
      • cmm
    • Special Tiles

      • Rotating Squares Tiling
      • Rotating Triangles Tiling
      • pentagon tiling case 1
      • pentagon tiling case 2
      • hexagon tiling
    Next
    Translation

    New Resources

    • Intersections of y=a^x and y=log(a, x)
    • Translation of the Graph of a Function
    • z`]]
    • Limaçons
    • גיליון אלקטרוני להעלאת נתוני בעיה ויצירת גרף בהתאם

    Discover Resources

    • Reflections of Quadrilaterials
    • AM 2019 P1 Q4
    • Constructing a triangle with its medians
    • Transformations - Rotation

    Discover Topics

    • Similarity Transformation or Similarity
    • Quadratic Equations
    • Geometry
    • General Quadrilateral
    • Fractions
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