A test that involves showing a series of symmetrical visual stimuli to people who then are asked what the figures represent to them, is called Rorschach test.
Rorschach test is the most famous of all projective techniques, beloved of cartoonists and comedians. It consists of ten standardized inkblots developed by Herman Rorschach, a Swiss psychiatrist. The subject's free association to the inkblots is examined by the tester in the light of certain categories of response which have been standardized over the years. No diagnosis of a person's difficulties would ever be made solely on the basis of a Rorschach test but many clinical psychologists regard it as a useful first step.