To move or arrange so as to cover a larger area: expand, extend, fan1 (out), open (out or up), outstretch, spread, stretch, unroll. See move
To be disclosed gradually: develop, evolve. See show
Another word for unfold
shake out, straighten, release, display, unwind, spread out, uncurl, unwrap, unroll, give to the breeze, reel out, unbend, open, flatten, loosen, unroll, uncrease.
Antonyms fold*, roll, lap.
disclose, uncover, discover, elucidate, explain, make known, publish, expose, announce, particularize, explicate; see also reveal 1.
Antonyms hide*, obscure, conceal.