peak vs convex shape

peak and convex shape both are nouns.

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

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

Other hypernyms of peak include convexity.

peak (noun)	convex shape (noun)
a brim that projects to the front to shade the eyes	a shape that curves or bulges outward
the top or extreme point of something (usually a mountain or hill)
the highest point (of something)
the most extreme possible amount or value
a V shape
the highest level or degree attainable; the highest stage of development
the period of greatest prosperity or productivity

peak (verb)	convex shape (verb)
to reach the highest point; attain maximum intensity, activity