posted by vasu .
what is azimuthal symmetry
Consider yourself faceing North on a plane. Going East, full circle, imagine a pole each 20 degrees. As you turn, you see the poles each 20 degrees of turn. The poles have azimuthal symettry. Now imagine each third pole is twice as high..again, symettry in the azmiuth.
Many things have azimuthal symettry. On my ship driving days, the compass rose comes to mind.