Fractal

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Related to Fractal curve: fractal dimensionality

Fractal

An object in which the parts are in some way related to the whole. That is, the individual components are "self-similar." An example is the branching network in a tree. While each branch, and each successive smaller branching is different, they are qualitatively similar to the structure of the whole tree.

Fractal

1. In technical analysis, an indicator of the reversal of the previous trend. It is shown on a candlestick chart as a series of five candles, representing five trading days. A bullish fractal occurs when the lowest low of any trading day is represented by the middle candle, with two successively less low trading days on each side. This is seen as a buy signal. A bearish fractal occurs when the highest high of the five days is represented by the middle candle, with two successively less high trading days on each side. This is seen as a sell signal.

2. Any whole made up of parts that are self-similar.
References in periodicals archive ?
Consider the basic equations for defining the dimension of a fractal curve such as the Koch Curve (Mandelbrot 1967; Feder 1988):
A model fractal curve gives a linear graph, its negative slope can be interpreted as the quantity (1-D) according to M.
Fractal curves have proved to be good test lines for evaluating the geometric properties of line generalization algorithms (Visvalingam 1996).