What is the meaning of isometry?

noun

• The growth rates in different parts of a growing organism are the same.
• A one-to-one mapping of one metric space into another metric space that preserves the distances between each pair of points.
  • usage: "the isometries of the cube"
• Equality of elevation above sea level.
• Equality of measure (e. G., equality of height above sea level or equality of loudness etc.. ).