GeoGebra
GeoGebra
  • Symmetry, Transformation and Tessellation
  • Single Transformation
  • Combine Transformations
  • Patterns
  • Transformation Commands
  • Tessellation Commands
  • Wallpaper Symmetry
  • 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

  • Inner and Outer Pentagon Points and Conics
  • GeoGebra Math Resources Preview 2023/24
  • Radian Angles
  • tubulação 2a
  • Dilations Part 2: What Do You Notice?

Discover Resources

  • Pronalaženje jednakih razlomaka
  • Example-A Tangent Angle Theorem (G10 M5 L13)
  • Power Rule Exploration
  • commando veeltermfunctie
  • Triangle Measures

Discover Topics

  • Isosceles Triangles
  • Pythagoras or Pythagorean Theorem
  • Power Functions
  • Pyramid
  • Percentages

GeoGebra

  • About
  • Partners
  • GeoGebra on Tests
  • News Feed
  • App Downloads

Apps

  • Calculator Suite
  • Graphing Calculator
  • 3D Calculator
  • CAS Calculator
  • Scientific Calculator

Resources

  • Classroom Resources
  • Learn GeoGebra
  • Classroom
  • Geometry
  • Notes
  • Terms of Service Privacy License
  • Facebook Twitter YouTube