Update!

I found what I was looking for. It's called a Noren. Here's a weblink for it:

http://www.mrslinskitchen.com/index.asp?PageAction=VIEWCATS&Category=1605

Thanks for your help everyone!

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Does anyone know the name of those Japanese strips of cloth that hang down to partially cover the entryway to a kitchen?  They usually have a cute design such as two lucky cats etc...