🔄 Distance-preserving map 📏 Equal measurements 🌱 Equal growth rates

isometry

1 9.9

A way of moving points so distances stay the same

noun
/aɪˈsɒmɪtri/

Specialized

: isometría

So if you translate Z, this is not the isometry and the metric changes.

Examples

So isometry means keeping the distances the same.
The map is restricted to be as close to an isometry as possible, i.e., deformation that maintains the intrinsic structure of the surface by preserving angles at each point and area 133.

Academic text (2017)
In geometry, an isometry is a transformation that preserves distances between points.
An isometry keeps the size and shape of geometric figures unchanged when mapped.
When two shapes are related by an isometry, the distance between corresponding points remains constant.

Surface Forms

isometry singular

isometries plural

Morphology

isometry = isometric (semi-transparent) = iso + metry

Regular nominalization from 'isometric'; mathematically technical but morphologically compositional.

Etymology

Isometry comes from the Greek parts iso- 'equal' and -metry from metron 'measure'. In geometry it names a move or map that keeps all distances the same, like a rotation or reflection that does not stretch a shape.