verb

bend (something flexible and relatively flat) over on itself so that one part of it covers another.

Sam folded up the map

double,double over,double up,crease,turn under,turn up,turn over,bend,overlap,tuck,gather,pleat,crimp,bunch

noun

a form or shape produced by the gentle draping of a loose, full garment or piece of cloth.

the fabric fell in soft folds

pleat,gather,ruffle,bunch,turn,folded portion,double thickness,overlap,layer,crease,knife-edge,wrinkle,crinkle,pucker,furrow