They have to be a Beged. So no on the towel. Barber’s thingy maybe (but it’s never worn by it’s owner so it’s probably okay). Sheet almost definitely not. Blanket probably is and many are Machmir to round a corner of their blankets because of a Safek in the Mishnah B’rurah (though that’s probably just a Chumra and there are many reasons to be Meyashev the Minhag Ha’olam not to put Tzitzis on your blanket.)
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