Isometry

For the mechanical engineering and architecture usage, see isometric projection. For isometry in differential geometry, see isometry (Riemannian geometry). In mathematics, an isometry, isometric isomorphism or congruence mapping is a distance-preserving isomorphism between metric spaces. Geometric figures which can be related by an isometry are called congruent.
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Noun
1. the growth rates in different parts of a growing organism are the same
(hypernym) growth rate, rate of growth
(classification) growth, growing, maturation, development, ontogeny, ontogenesis
2. 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"
(hypernym) mapping, map, correspondence
3. equality of elevation above sea level
(hypernym) elevation
4. equality of measure (e.g., equality of height above sea level or equality of loudness etc.)
(hypernym) equality

<mathematics> A mapping of a metric space onto another or onto itself so that the distance between any two points in the original space is the same as the distance between their images in the second space. For example, any combination of rotation and translation is an isometry of the plane.
(1997-12-13)

isometry
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