convexity vs configuration

convexity and configuration both are nouns.

Word	Noun	Adjective	Verb	Adverb
convexity	Yes	No	No	No
configuration	Yes	No	No	No

As nouns, configuration is a hypernym of convexity; that is, configuration is a word with a broader meaning than convexity:

Other hypernyms of convexity include conformation, contour, form, shape.

convexity (noun)	configuration (noun)
the property possessed by a convex shape	any spatial attributes (especially as defined by outline)
a shape that curves or bulges outward	an arrangement of parts or elements