¹ *Source: wiktionary.com*

### Definition of Fractals

**1.** fractal [n] - See also: fractal

### Medical Definition of Fractals

**1.**
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 self-similar across a finite range of scales while mathematical fractals are the same across an infinite range. Many natural, including biological, structures are fractal (or fractal-like). 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 self-similarity over time.
(12 Dec 1998)

### Lexicographical Neighbors of Fractals

### Literary usage of Fractals

Below you will find example usage of this term as found in modern and/or classical literature:

**1.** *Geometric Structures in Nonlinear Physics* by Robert Hermann (1991)

"**fractals** AND HEGEL The popularization of such topics as **fractals** and Chaos should
interest historians and sociologists of ..."**2.** *Generation of Multi-Resolution Maps* by Jonas Persson (1993)

"4.3 **fractals** When measuring the length of a coastline and other natural formations
... This attaches to the theory of **fractals** [Burrough 1986, pp 122-128; ..."**3.** *Information Engineering: Identification of Influential Technologies, Impact* by Uday Phadke, Paul Ormerod, Christopher Coggill, Kaush Kotak (1997)

"The main advantages of **fractals** are as follows: • device independent; • hardware
compression can be ... Figure 5.13. compares **fractals** vs JPEG compression. ..."**4.** *Heave-Ho: Phase Two* by Gyeorgos Ceres Hatonn (1994)

"So the scientists come up with another input--called “**fractals**”. ... **fractals**
**fractals** comprise another phenomenon that arises in nonlinear systems. ..."**5.** *Profiting from Chaos: Using Chaos Theory for Market Timing, Stock Selection* by Tonis Vaga (1994)

"**fractals** come in both deterministic and statistical forms. ... Random **fractals**
deal with probabilities and in particular the structure of the fat tails on ..."