Template:Symmetry
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This is a template for including symmetry categories for patterns.
For example,
{{Symmetry|orthogonal4|osc=flip}}
adds the categories Category:Patterns with rectangular orthogonal symmetry and Category:Flipping oscillators to the page. Typing
{{Symmetry|180degree}}
adds only Category:Patterns with 180-degree rotation symmetry, whereas
{{Symmetry|osc=turn90}}
adds only Category:Non-flipping oscillators that turn 90 degrees.
Options are
- orthogonal2: Patterns with reflection symmetry in exactly one orthogonal axis (Category:Patterns with bilateral orthogonal symmetry).
- orthogonal4: Patterns with reflection symmetry in both orthogonal axes (Category:Patterns with rectangular orthogonal symmetry).
- diagonal2: Patterns with reflection symmetry in exactly one diagonal axis (Category:Patterns with bilateral diagonal symmetry).
- diagonal4: Patterns with reflection symmetry in both diagonal axes (Category:Patterns with rectangular diagonal symmetry).
- 180degree: Patterns with 180-degree rotation symmetry (Category:Patterns with 180-degree rotation symmetry).
- 90degree: Patterns with 90-degree rotation symmetry (Category:Patterns with 90-degree rotation symmetry).
- full: Patterns with all rotation and reflection symmetry (Category:Patterns with complete square symmetry).
- osc=flip: Oscillators that flip (reflect) during evolution (Category:Flipping oscillators).
- osc=turn180: Oscillators that rotate 180 degrees during evolution (Category:Non-flipping oscillators that turn 180 degrees).
- osc=turn90: Oscillators that rotate 90 degrees during evolution (Category:Non-flipping oscillators that turn 90 degrees).
This template should not be used if the pattern has no symmetry of any kind.