isometry
nounEtymology From New Latin isometria, from Ancient Greek ἰσομετρία (isometría), from ἰσο- (iso-) + -μετρία (-metría), from ἴσος (ísos, “equal”) and μέτρον (métron, “measurement”) + -ια (-ia, “-y”). Equivalent to iso- + -metry.
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Mathematics, Sciences 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.
- Isometry is to metric spaces what isomorphism is to groups.
- Derived terms
- anisometry, quasiisometry
- Related terms
- isometric, isometer, isometrograph