convexity vs peak

convexity and peak both are nouns.

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

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

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

convexity (noun)	peak (noun)
the property possessed by a convex shape	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

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