Dihedral Group D5

Please enable Java for an interactive construction (with Cinderella).

The dihedral group D5 consists of reflections around the red symmetry lines of the white regular pentagon and of rotations by angles 2pi/5. That is the angle between the white and the yellow vector must be m*2pi/5 (m=1,2,3,4,5) in order to give a symmetry rotation of the group. You can drag the yellow vector interactively.

Soli Deo Gloria. Created with Cinderella by Eckhard Hitzer (Fukui).