multidimensionality vs variety

multidimensionality and variety both are nouns.

Word	Noun	Adjective	Verb	Adverb
multidimensionality	Yes	No	No	No
variety	Yes	No	No	No

As nouns, variety is a hypernym of multidimensionality; that is, variety is a word with a broader meaning than multidimensionality:

Other hypernyms of multidimensionality include diverseness, diversity, multifariousness.

multidimensionality (noun)	variety (noun)
The property of having many aspects or facets.	noticeable heterogeneity
	a difference that is usually pleasant
	a category of things distinguished by some common characteristic or quality
	a show consisting of a series of short unrelated performances
	(biology) a taxonomic category consisting of members of a species that differ from others of the same species in minor but heritable characteristics
	a collection containing a variety of sorts of things