eyedness vs asymmetry

eyedness and asymmetry both are nouns.

Word	Noun	Adjective	Verb	Adverb
eyedness	Yes	No	No	No
asymmetry	Yes	No	No	No

As nouns, asymmetry is a hypernym of eyedness; that is, asymmetry is a word with a broader meaning than eyedness:

eyedness: the property of favoring one eye over the other (as in taking aim)
asymmetry: (mathematics) a lack of symmetry

eyedness (noun)	asymmetry (noun)
the property of favoring one eye over the other (as in taking aim)	(mathematics) a lack of symmetry