bilaterality vs symmetricalness

bilaterality and symmetricalness both are nouns.

Word	Noun	Adjective	Verb	Adverb
bilaterality	Yes	No	No	No
symmetricalness	Yes	No	No	No

As nouns, symmetricalness is a hypernym of bilaterality; that is, symmetricalness is a word with a broader meaning than bilaterality:

bilaterality: the property of being symmetrical about a vertical plane
symmetricalness: (mathematics) an attribute of a shape or relation; exact reflection of form on opposite sides of a dividing line or plane

Other hypernyms of bilaterality include balance, correspondence, symmetry.

bilaterality (noun)	symmetricalness (noun)
the property of being symmetrical about a vertical plane	(mathematics) an attribute of a shape or relation; exact reflection of form on opposite sides of a dividing line or plane