fractal Definition
- 1a curve or geometric figure, each part of which has the same statistical character as the whole. Fractals are useful in modeling structures (such as eroded coastlines or snowflakes) in which similar patterns recur at progressively smaller scales, and in describing partly random or chaotic phenomena such as crystal growth, fluid turbulence, and galaxy formation.
- 2relating to or of the nature of a fractal or fractals.
Using fractal: Examples
Take a moment to familiarize yourself with how "fractal" can be used in various situations through the following examples!
Example
The coastline is an example of a fractal, with its repeating patterns at different scales.
Example
Fractal geometry is used to describe the shapes of many natural objects.
Example
The Mandelbrot set is a famous example of a fractal.
fractal Synonyms and Antonyms
Synonyms for fractal
- recursive
- repetitive
- complex
- self-similar
Phrases with fractal
a measure of the complexity of a fractal pattern, expressed as a non-integer number
Example
The fractal dimension of a coastline is greater than 1, indicating its complex, self-similar structure.
artistic works created using fractal-generating software, often characterized by intricate and repeating patterns
Example
Her paintings are inspired by fractal art, with their intricate and colorful patterns.
an antenna designed using fractal geometry, often with improved performance over traditional antennas
Example
The use of fractal antennas has led to significant improvements in wireless communication technology.
Summary: fractal in Brief
A 'fractal' [ˈfræktəl] is a curve or geometric figure that has the same statistical character as the whole, with repeating patterns at progressively smaller scales. It is used to model structures like coastlines and snowflakes, and describe partly random or chaotic phenomena like crystal growth and galaxy formation. 'Fractal' can also be used as an adjective to describe things related to fractals, such as 'fractal art' and 'fractal antenna.'
