symmetricalness vs spatiality

symmetricalness and spatiality both are nouns.

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

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

symmetricalness: (mathematics) an attribute of a shape or relation; exact reflection of form on opposite sides of a dividing line or plane
spatiality: any property relating to or occupying space

Other hypernyms of symmetricalness include spatial property.

symmetricalness (noun)	spatiality (noun)
(mathematics) an attribute of a shape or relation; exact reflection of form on opposite sides of a dividing line or plane	any property relating to or occupying space