taper vs convex shape

taper and convex shape both are nouns.

Word	Noun	Adjective	Verb	Adverb
taper	Yes	No	Yes	No
convex shape	Yes	No	No	No

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

Other hypernyms of taper include convexity.

taper (noun)	convex shape (noun)
stick of wax with a wick in the middle	a shape that curves or bulges outward
a loosely woven cord (in a candle or oil lamp) that draws fuel by capillary action up into the flame
the property possessed by a shape that narrows toward a point (as a wedge or cone)
a convex shape that narrows toward a point

taper (verb)	convex shape (verb)
give a point to
diminish gradually