ISOMETRY

Isometry

In mathematics, an isometry is a distance-preserving map between metric spaces. Given a metric space, or a set and scheme for assigning distances between elements of the set, an isometry is a transformation which maps elements to another metric space such that the distance between the elements in the new metric space is equal to the distance between the elements in the original metric space. In a two-dimensional or three-dimensional space, two geometric figures are congruent if they are related by an isometry: related by either a rigid motion, or a composition of a rigid motion and a reflection. Up to a relation by a rigid motion, they are equal if related by a ...

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isometry

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 pre-images.


The above text is a snippet from Wiktionary: isometry
and as such is available under the Creative Commons Attribution/Share-Alike License.

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