English Reference

Word

fractal

Phoneticsfrac·tal, stress on the first syllable

US/ˈfɹæktəɫ/

UK/fɹˈæktəl/

Definition

n. a complex shape that looks the same no matter how much you zoom in or out. It is made by repeating a simple pattern over and over again.

n. a geometric shape that exhibits self-similarity at various scales, meaning that each part of the shape is a smaller copy of the whole. Often generated by recursive mathematical algorithms.

Examples

“The coastline looks like a fractal when you look at it from a distance.”

“Mathematicians use fractals to model natural phenomena like the branching of trees or the formation of clouds.”

“The Mandelbrot set is one of the most famous examples of a fractal, demonstrating how an infinitely complex boundary can be generated from a simple iterative equation.”

Examples

simple

“The coastline looks like a fractal when you look at it from a distance.”

contextual

“Mathematicians use fractals to model natural phenomena like the branching of trees or the formation of clouds.”

complex

“The Mandelbrot set is one of the most famous examples of a fractal, demonstrating how an infinitely complex boundary can be generated from a simple iterative equation.”

Real-World Examples

“Research has found that looking at natural fractals—repetitive patterns in flowers, ferns, mountains, and other nature scenes—produces more brain activity that’s associated with a relaxed yet wakeful state.”
National Geographic 8 May 2025
“This framework allows us to respect the importance of scale without prioritizing one level over another: Like a fractal, each level is equally complex.”
Real Life 24 Mar 2022

Domain

Mathematics

This entry

Exam level
CambridgeCambridgeCambridge English QualificationsThe exam suite from Cambridge University Press & Assessment, from A1 Movers up to C2 Proficiency. The benchmark names double as CEFR labels.C1 AdvancedIELTSIELTSInternational English Language Testing SystemThe 0–9 band test co-owned by the British Council, IDP, and Cambridge. Used for university entry, work, and migration.7.0–8.0TOEFL iBTTOEFL iBTTest of English as a Foreign Language, Internet-Based TestETS's academic English test, the standard route for US university admissions. Scored 0–120, with a 1–6 scale since 2026.1–6 scale: 5.0–5.595–113TOEICTOEICTest of English for International CommunicationETS's workplace English test, big in Japan and Korea. Listening & Reading scores 10–990 and tops out at C1.945–990
Frequency
Occasional
Level
C1 · Advanced
Updated

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English Reference