Isometry
WordNet
noun
(1) Equality of measure (e.g., equality of height above sea level or equality of loudness etc.)
(2) Equality of elevation above sea level
(3) A one-to-one mapping of one metric space into another metric space that preserves the distances between each pair of points
"The isometries of the cube"
(4) The growth rates in different parts of a growing organism are the same
WiktionaryText
Noun
- A function between metric spaces (or 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.