tai chi vs tai chi chuan

tai chi and tai chi chuan both are nouns.

Word	Noun	Adjective	Verb	Adverb
tai chi	Yes	No	No	No
tai chi chuan	Yes	No	No	No

As nouns, tai chi and tai chi chuan are synonyms defined as:

tai chi and tai chi chuan: a Chinese system of slow meditative physical exercise designed for relaxation and balance and health

Other synonyms of tai chi include t'ai chi, t'ai chi chuan, taichi, taichichuan.

tai chi (noun)	tai chi chuan (noun)
a Chinese system of slow meditative physical exercise designed for relaxation and balance and health	a Chinese system of slow meditative physical exercise designed for relaxation and balance and health