Mathematics A function between metric spaces which preserves distances, such as a rotation or translation in a plane.

Biology A proportional change in the size of a part or parts of an organism as the organism grows.

isometry

Noun

(plural isometries)

(mathematics) A function between metric spaces (on a single metric space) having the property that the distance between two images is equal to the distance between their pre-images.

Isometry is to metric spaces what isomorphism is to groups.