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| Is there a reflection? What is a glide-reflection? What other operations are used in the pattern design? There are only four basic operations that bring about an unending variety of symmetric patterns: translation, rotation, reflection, and glide-reflection. Here's the symmetry lingo at a glance. Use the symmetry types as indicated by SymmetryWorks icons to experiment with each symmetry operation. | (Translation) |
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(Reflection) |
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(reflection + translation) |
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(half-turn) |
Two-fold rotation center |
120° rotation (1/3-turn) |
Three-fold rotation center |
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90° rotation (quarter-turn) |
Four-fold |
60° rotation (1/6-turn) |
Six-fold rotation center |
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