intertwine vs lace

intertwine is not a noun while lace is a noun.

Word	Noun	Adjective	Verb	Adverb
intertwine	No	No	Yes	No
lace	Yes	No	Yes	No

As verbs, intertwine and lace are synonyms defined as:

Other synonyms of intertwine include enlace, entwine, interlace, twine.

intertwine (noun)	lace (noun)
	a delicate decorative fabric woven in an open web of symmetrical patterns
	a cord that is drawn through eyelets or around hooks in order to draw together two edges (as of a shoe or garment)

intertwine (verb)	lace (verb)
spin, wind, or twist together	add alcohol to (beverages)
make a loop in	draw through eyes or holes
make lacework by knotting or looping	spin, wind, or twist together
	do lacework
	make by braiding or interlacing