Wallpaper Symmetry Exploration
From EscherMath
Objective: Learn to recognize the lattice in a wallpaper pattern. Learn to use the flow chart to identify wallpaper symmetry groups.
Materials
| The Exploration Image:Wallpapersymmetry.pdf |
- Printed copy of the Wallpaper Symmetry Exploration.
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| The Flow Chart Image:Wall-flow.pdf |
- Copy of the flowchart
Exploration
Geometric patterns
For the following geometric wallpaper patterns
- Choose a point and mark the lattice of all translations of the point.
- Mark all centers of rotation symmetry.
- Identify and mark mirror lines.
- Use the flowchart to identify the symmetry group of each pattern.
A.  | B. 
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C.  | D. 
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E.  | F. 
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Recognizable figures
For each of these sketches from Escher's regular division drawings, use the flow chart to identify the symmetry group of each pattern (ignore colors).
- Sketch #10 (Fish)
- Sketch #13 (Dragonflies)
- Sketch #17 (Parrots)
- Sketch #30 (Fish and boats)
- Sketch #85 (Fish, bats, lizards)
Handin: This page with the geometric patterns marked, and all symmetry groups identified.
Instructor:Wallpaper Symmetry Solutions (Instructors only)
