symmetrise vs symmetry

symmetrise is not a noun while symmetry is a noun.

Word	Noun	Adjective	Verb	Adverb
symmetrise	No	No	Yes	No
symmetry	Yes	No	No	No

symmetrise (noun)	symmetry (noun)
	(mathematics) an attribute of a shape or relation; exact reflection of form on opposite sides of a dividing line or plane
	(physics) the property of being isotropic; having the same value when measured in different directions
	balance among the parts of something

symmetrise (verb)	symmetry (verb)
make symmetric