In mathematics the word "rosette" indicates a plane figure whose symmetry group (that is the set of all those transformations of the plane that leave distances unchanged and map the figure onto itself) contains only a finite number of transformations.

It can be proven that the only two possibilities for a rosette's symmetry group are cyclic groups (that are denoted with the symbol Cn and that contain n rotations) or dihedral (that are denoted with the symbol Dn and that contain n rotations and n reflections).

For any given integer number n, there is a corresponding cyclic group Cn and a corresponding dihedral group Dn.

cyclic groups		dihedral group
C1	C2	D1	D2
C3	C4	D3	D4
C5	C6	D5	D6
C7	C8	D7	D8
...	...	...	...