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fractal

UK[ˈfræktəl]US[ˈfræktəl]
n

A complex geometric shape that can be split into parts, each of which is a smaller copy of the whole, a property called self-similarity.

adj

Relating to or having the properties of a fractal.

Morpheme Breakdown

fract
al
fract

broken

al

adjective-forming suffix

Etymology

The word 'fractal' is a modern scientific coinage, created in 1975 by mathematician Benoît Mandelbrot from the Latin root fract-, meaning "broken" or "irregular". He derived it from the Latin adjective fractus to describe the fragmented, infinitely complex geometric shapes he studied, which could not be described by classical Euclidean geometry. The suffix -al was added to form a new noun (and later adjective) characterizing these shapes by their essential property of being "broken" or irregular at every scale. Thus, the term's logic directly links the ancient idea of brokenness to the modern mathematical concept of recursive, self-similar irregularity.

Analysis

Structure: fract (broken) + al (adjective-forming suffix) - fract: From Latin fractus, the past participle of frangere meaning "to break". In this word, it functions as the core root conveying the concept of irregular fragmentation. - al: A suffix of Latin origin (-alis) used to form adjectives meaning "of, relating to, or characterized by". Here, it nominalizes the concept.

Examples

The coastline's intricate pattern is a classic example of a fractal in nature.

He generated a beautiful fractal image using a simple computer algorithm.

Fractal geometry provides a better model for describing the irregular shapes of clouds and mountains.

fractal – Meaning, Etymology & Word Origin | OpenEtymology