Synonyms for Twine (same or very similar meaning)
WordNet sense 1 (a lightweight cord):
string
WordNet sense 2 (wrap or coil around):
roll, wind, wrap, wind
WordNet sense 3 (spin or twist together so as to form a cord):
entwine, interlace, intertwine, lace, enlace
WordNet sense 4 (form into a spiral shape):
distort, twist
From the ODE community, based on WordNet
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