scale-invariant shape

noun
UK /skeɪl ɪnˈvɛəriənt ʃeɪp/
US /skeɪl ɪnˈvɛriənt ʃeɪp/

A shape that looks the same even when you make it bigger or smaller.

A snowflake is a scale-invariant shape because its pattern looks the same at every size.


OTHER MEANINGS

2. A mathematical object whose statistical properties stay the same when the scale of measurement changes.

The coastline's rugged outline behaves like a scale-invariant shape in fractal geometry.

3. A pattern in nature that repeats its structure across different sizes.

The branching of a fern is a scale-invariant shape, with each small frond echoing the whole leaf.

4. A design or form that keeps its proportions when enlarged or shrunk.

The architect chose a scale-invariant shape so the model and the building would look identical.