 Involutional symmetry Cs, (*) [ ] = 
|
 Cyclic symmetry Cnv, (*nn) [n] =  
|
 Dihedral symmetry Dnh, (*n22) [n,2] = 
| |
| Polyhedral group, [n,3], (*n32) | |||
|---|---|---|---|
 Tetrahedral symmetry Td, (*332) [3,3] = 
|
 Octahedral symmetry Oh, (*432) [4,3] = 
|
 Icosahedral symmetry Ih, (*532) [5,3] = 
| |
In three dimensional geometry, there are four infinite series of point groups in three dimensions (n≥1) with n-fold rotational or reflectional symmetry about one axis (by an angle of 360°/n) that does not change the object.
They are the finite symmetry groups on a cone. For n = ∞ they correspond to four frieze groups. Schönflies notation is used. The terms horizontal (h) and vertical (v) imply the existence and direction of reflections with respect to a vertical axis of symmetry. Also shown are Coxeter notation in brackets, and, in parentheses, orbifold notation.
