twisty vs twisting

twisty is not a noun while twisting is a noun.

Word	Noun	Adjective	Verb	Adverb
twisty	No	Yes	No	No
twisting	Yes	Yes	No	No

As adjectives, twisty and twisting are synonyms defined as:

Other synonyms of twisty include tortuous, voluminous, winding.

twisty (noun)	twisting (noun)
	the act of distorting something so it seems to mean something it was not intended to mean
	the act of rotating rapidly

twisty (adjective)	twisting (adjective)
marked by repeated turns and bends	marked by repeated turns and bends