WordNet sense 1 (ornament consisting of a curve on a plane that winds around a center with an increasing distance from the center):

spiral

WordNet sense 2 (a structure consisting of something wound in a continuous series of loops):

coil, helix, whorl

WordNet sense 3 (in the shape of a coil):

helical, whorled, coiling, spiraling, turbinate, voluted

WordNet sense 4 (curled or wound (especially in concentric rings or spirals)):

coiled