Synonyms for Wrap (same or very similar meaning)
WordNet sense 1 (the covering (usually paper or cellophane) in which something is wrapped):
wrapper, wrapping
WordNet sense 2 (enclose or enfold completely with or as if with a covering):
enclose, enfold, envelop, enwrap, envelop
WordNet sense 3 (wrap or coil around):
roll, twine, wind, wind
WordNet sense 4 (arrange or fold as a cover or protection):
wrap up
From the ODE community, based on WordNet
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