List of planar symmetry groups
From Wikipedia, the free encyclopedia
This article summarizes the classes of discrete planar symmetry groups:
- 2 infinite set of point groups
- 7 Frieze groups
- 17 wallpaper groups
Contents |
[edit] Point groups
There are two classes of point groups, rotational and reflectional.
Point groups:
| Example | Symbols |
|---|---|
 Example C5 |
Cn (n) Cyclic group |
 Example D6 |
Dn (*n) Dihedral group |
[edit] Frieze Groups
There are also 7 Frieze groups in the plane which have a fundamental line of symmetry and infinite fundamental domains.
| Example pattern |
orbifold notation |
|---|---|
 |
|
[edit] Wallpaper groups
There are 17 wallpaper groups in the plane with finite fundamental domains.
Rotation
|
Maximum symmetry per lattice type
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Mixed
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Other
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