Here's a page of hats from wooly wormhead. The Lucy pattern might be what your looking for. Just click on the picture for the PDF pattern.

http://woollywormhead.com/page42.htm

Or there's this one if that's the type of zig zags you mean (complete with generator):

http://www.thedietdiary.com/knittingfiend/Hats/HKEarflapHat.html

Hope those help! Happy knitting