Origin: ME twyll < OE twilic, woven of double thread (akin to OHG zwilih) < WGmc partial transl. (with twi-, two) of L bilix, with a double thread < bi-, bi- + licium, a thread
See twill in American Heritage Dictionary 4
Origin: Middle English twile
Origin: , from Old English twilīc, woven of double thread; see dwo- in Indo-European roots.
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