As nouns the difference between connotation and patronymic
is that connotation
is a meaning of a word or phrase that is suggested or implied, as opposed to a denotation, or literal meaning a characteristic of words or phrases, or of the contexts that words and phrases are used in while patronymic
is name acquired from one's father's, grandfather's or earlier male ancestor's first name some cultures use a patronymic where other cultures use a surname or family name; other cultures (like russia) use both a patronymic and a surname.
As an adjective patronymic is
derived from ancestors; as, a patronymic denomination.