Automorphism

noun

1. In mathematics, the property of remaining unchanged by all the substitutions of any group of linear transformations.
2. Anthropomorphism; the conception of the lower animals by analogy with man.
3. The ascription of one's own characteristics to another, or the habit of judging others or explaining their acts by means of analogies furnished by the knowledge of one's self.
4. Automorphic characterization.
5. An isomorphism of a mathematical object or system of objects onto itself.