isotropy vs symmetry

isotropy and symmetry both are nouns.

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

As nouns, isotropy and symmetry are synonyms defined as:

isotropy and symmetry: (physics) the property of being isotropic; having the same value when measured in different directions

isotropy (noun)	symmetry (noun)
(physics) the property of being isotropic; having the same value when measured in different directions	(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