misrepresentation

Erroneous or false representation; an unfair or dishonest account or exposition; a false statement: as, to injure one's character by misrepresentations.

Incorrect or unfaithful representation in the capacity of agent or official representative, such as of a principal in a matter of business, or of constituents in legislation.

In map-making, faultiness in a map projection, estimated with regard to its unequal scale in different parts and to its distortion of angles.