symmetry vs equipoise

symmetry and equipoise both are nouns.

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

As nouns, equipoise is a hypernym of symmetry; that is, equipoise is a word with a broader meaning than symmetry:

Other hypernyms of symmetry include balance, counterbalance, equilibrium.

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