scale-invariant geometry

noun

UK /skeɪl ɪnˈvɛəriənt dʒiˈɒmətri/

US /skeɪl ɪnˈvɛriənt dʒiˈɑːmətri/

A kind of geometry where shapes look the same even when you zoom in or out.

The coastline's jagged pattern is studied using scale-invariant geometry because it looks similar at every zoom level.

SYNONYMS

fractal geometry self-similar geometry scaling geometry zoom-invariant geometry

RELATED WORDS

fractal self-similarity power law dimension invariance

OTHER MEANINGS

2. A branch of mathematics studying shapes whose statistical or structural features stay the same across different scales.

Researchers used scale-invariant geometry to model the distribution of galaxies.

3. The property of a system or pattern that shows no preferred size or characteristic length.

Turbulence often displays scale-invariant geometry in its swirling eddies.

4. A framework in physics where physical laws or patterns remain unchanged under changes of scale.

Critical phenomena near phase transitions are described by scale-invariant geometry.