isometry

noun

1. mathematicsA 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 preimages.

2. The growth rates in different parts of a growing organism are the sametime

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. Equality of elevation above sea level

5. Equality of measure (e.g., equality of height above sea level or equality of loudness etc.)