In 3 space dimensions consider a 1D string under tension between two fixed points. Let the string lie at rest on the z axis between z = 0 and z = ∞. We can produce linearly polarized and circularly polarized waves if I move the end of the string properly? Now if we add an extra space dimension (but keep the string 1 dimensional) what additional types of wave polarization, if any, become possible? If a string can vibrate in only one dimension we just get a wave. If a string can vibrate in two dimensions we get both linearly and circularly polarized waves. If a string can vibrate in three dimensions what does that lead to? Thanks for any help!