isometry

noun

isom·​e·​try ī-ˈsä-mə-trē 

plural isometries

: 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

rotation and translation are isometries of the plane

Examples of isometry in a Sentence

Recent Examples on the Web

For his part, however, Arkani-Hamed doubts that swapping in isometry for unitarity goes far enough. —Charlie Wood, Quanta Magazine, 26 Sep. 2022

So does Dittrich, who came to similar realizations about isometry a decade ago while attempting to formulate a toy quantum theory of space-time with her collaborator Philipp Höhn. —Charlie Wood, Quanta Magazine, 26 Sep. 2022

That’s because symmetries are isometries, which preserve the size and shape of the object. —Quanta Magazine, 17 Aug. 2017

Similarly, the properties of isometries guarantee that line segments get mapped to line segments. —Quanta Magazine, 17 Aug. 2017

Word History

First Known Use

1881, in the meaning defined above