No actually there is no basis in the Quran whatsoever for a women to cover her hair. It's more likely a cultural stance, since middle eastern women have been covering their hair hundreds of years before Islam, Christianity, and even Judaism. However, I don't understand why when Nuns cover their hair, is holy and good, but when muslim women choose to cover their hair (Yes people, there's no compulsion in Islam!) they're being degraded. What about the women in Playboy? aren't they degrading themselves as well?