Descriptor in English:  Fractals 
Descriptor in Spanish:  Fractales 
Descriptor in Portuguese:  Fractais 
Descriptor in French:  Fractales 
Entry term(s): 
Fractal 
Tree number(s): 
E05.599.125 G17.290 
Scope note:  Patterns (real or mathematical) which look similar at different scales, for example the network of airways in the lung which shows similar branching patterns at progressively higher magnifications. Natural fractals are selfsimilar across a finite range of scales while mathematical fractals are the same across an infinite range. Many natural, including biological, structures are fractal (or fractallike). Fractals are related to "chaos" (see NONLINEAR DYNAMICS) in that chaotic processes can produce fractal structures in nature, and appropriate representations of chaotic processes usually reveal selfsimilarity over time. 
Annotation:  patterns which look similar at different magnifications; used in math & theoret models 
Allowable Qualifiers: 
HI history 
History Note:  94 
See also the descriptors: 
Nonlinear Dynamics
MeSH 
DeCS UI:  31461 
Descriptor UI:  D017709 
Date Established:  1994/01/01 
Date of Entry:  1992/12/28 
Revision Date:  2008/07/08 


ANALYTICAL, DIAGNOSTIC AND THERAPEUTIC TECHNIQUES, AND EQUIPMENT
Investigative Techniques [E05]Investigative Techniques 
PHENOMENA AND PROCESSES
Mathematical Concepts [G17]Mathematical Concepts

Fractals
 Preferred
Concept UI 
M0026775 
Scope note  Patterns (real or mathematical) which look similar at different scales, for example the network of airways in the lung which shows similar branching patterns at progressively higher magnifications. Natural fractals are selfsimilar across a finite range of scales while mathematical fractals are the same across an infinite range. Many natural, including biological, structures are fractal (or fractallike). Fractals are related to "chaos" (see NONLINEAR DYNAMICS) in that chaotic processes can produce fractal structures in nature, and appropriate representations of chaotic processes usually reveal selfsimilarity over time. 
Preferred term  Fractals 
Entry term(s) 
Fractal 