helix vs curved shape

helix and curved shape both are nouns.

Word	Noun	Adjective	Verb	Adverb
helix	Yes	No	No	No
curved shape	Yes	No	No	No

As nouns, curved shape is a hypernym of helix; that is, curved shape is a word with a broader meaning than helix:

helix: a curve that lies on the surface of a cylinder or cone and cuts the element at a constant angle
curved shape: the trace of a point whose direction of motion changes

Other hypernyms of helix include curve.

helix (noun)	curved shape (noun)
a structure consisting of something wound in a continuous series of loops	the trace of a point whose direction of motion changes
a curve that lies on the surface of a cylinder or cone and cuts the element at a constant angle