Kingdom of Crooked Mirrors (1963)

Alice-type Soviet girl, named Olya meets her counterpart Yalo, while looking into the mirror. Yalo is an absolute antipode to Olya: where Olya is precise and neat, Yalo is absent-minded, careless, etc. The explicit plot relates to Olya learning to see herself differently, but this occurs through an experience in the Kingdom of Crooked Mirrors which serves as a mechanism for commenting on the ability of a society to manufacture a false reality.