Three headed cat is a strange animal and it does not exist in real life. However, you may see three or more head cat in dream only. A cat means an independent spirit, creativity, feminine sexuality and power. It also denotes disaster and bad luck. The dream symbol has different meaning dependent on whether you are a cat lover. The cat could specify that someone is being dishonest or unfaithful to you. If the cat is hostile, then it suggests that you are having difficulties with the feminine feature of yourself. If you fear the cat in your dream, then it suggests that you are terrible of the feminine.