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化身 is a way to say avatar in Chinese characters, Korean Hanja, and Japanese Kanji.
This is the original Buddhist idea of an avatar (not the movie). This can also mean: incarnation; reincarnation; embodiment; personification; impersonation.
化身 is the Chinese word used for the original Sanskrit, nirmāṇakāya. Alternates for nirmāṇakāya include 應身, 應化身, or 變化身. In the context of Buddhism, this is a Buddha's metamorphosic body, which has the power to assume any shape to propagate the Truth. This title, 化身, is used for the appearance of a Buddha's many forms.