isometry — English Dictionary

Noun

1. 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 preimages.

   Related words

   isometricisometerisometrograph

   Examples

   Isometry is to metric spaces what isomorphism is to groups.

Noun

1. the growth rates in different parts of a growing organism are the same

   Broader terms

   growth raterate of growth

2. a one-to-one mapping of one metric space into another metric space that preserves the distances between each pair of points

   Broader terms

   functionmathematical functionsingle-valued functionmapmapping

   Examples

   the isometries of the cube

3. equality of elevation above sea level

   Broader terms

   elevation

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

   Broader terms

   equality