convex shape vs peak

convex shape and peak both are nouns.

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

As nouns, peak is a hyponym of convex shape; that is, peak is a word with a more specific, narrower meaning than convex shape:

Other hyponyms of convex shape include umbo, camber, entasis, knob, node, thickening, ridge, point, tip, taper, projection.

convex shape (noun)	peak (noun)
a shape that curves or bulges outward	a brim that projects to the front to shade the eyes
	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

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