Tibetan Monks Headgear-Copy of Greek Soldier's Helmets?

Link:
http://www.google.com/imgres?imgurl=http://www.bbc.co.uk/dorset/content/images/2009/06/05/tibetan_lama_hat_203_203x152.jpg&imgrefurl=http://www.bbc.co.uk/dorset/content/articles/2009/06/05/tibetan_lama_visit_feature.shtml&h=152&w=203&sz=15&tbnid=7JAXB2IcwEJYyM:&tbnh=90&tbnw=120&zoom=1&usg=__E13ZM6kK2OEdx88iXGegEVTnCdY=&docid=nzcWY0gpqRlpZM&sa=X&ei=cmR-UqOeH_PLsQTBiIKQAQ&ved=0CDQQ9QEwAw
Many years ago, I read that some of Alexander the Great’s soldiers reached Tibet-and that their clothing was copied by the Buddhist monks. Is there any evidence of this?

Maybe they got to Hawaii too.

I think that the essential limits of headwear coupled with its varied functions will lead to a small number of useful variations, which cultures are likely to discover and rediscover independently. The idea that only one culture could come up with, say, crested helmets or pyramids or pictographs and all other instances of it must be from cultural transmission is pretty silly.

Buddhism reached Tibet in the 7th century AD.

Alexander died in 323 BC.

ETA: lolwut

And Pakistan

Well…actually errrr maybe

Come on, they wear only a simple robe and own only a bowl, you gotta give them something! Why not funny hats?