scale-invariant

adjective
UK /ˌskeɪl ɪnˈveəriənt/
US /ˌskeɪl ɪnˈveriənt/

Something scale-invariant looks the same whether it is big or small.

A fractal pattern is scale-invariant because it looks similar at every size.

SYNONYMS

self-similarsize-independentfractaluniform across scales

RELATED WORDS

fractalsymmetryscalinginvariancepower law

OTHER MEANINGS

2. In physics, describing a system whose behavior does not change when distances or energies are rescaled.

The theory is scale-invariant at high energies.

3. In statistics, describing a distribution or measure that stays the same after multiplying all values by a constant.

The relative error is scale-invariant, so units do not matter.

4. In mathematics, describing an object or property unchanged by zooming in or out.

The coastline shows scale-invariant roughness over many lengths.