Fractal: meaning, definitions and examples
๐
fractal
[ หfrรฆktl ]
mathematics
A fractal is a complex geometric shape that can be split into parts, each of which is a reduced-scale copy of the whole. This property is known as self-similarity. Fractals are often found in nature, such as in the branching of trees or the structure of snowflakes. They can also be generated mathematically, producing intricate patterns that reveal a deeper order beneath apparent chaos.
Synonyms
recursive shape, self-similar pattern
Examples of usage
- The branches of the tree form a fractal pattern.
- Snowflakes exhibit beautiful fractal shapes.
- The Mandelbrot set is a famous example of a mathematical fractal.
computer graphics
In computer graphics, fractals are used to create intricate textures and landscapes. Their recursive nature allows for the generation of vast, complex images from relatively simple mathematical equations. This technique is widely used in visual effects and animation to generate realistic environments or elements.
Synonyms
computer-generated pattern, mathematical pattern
Examples of usage
- Fractal algorithms are used in CGI to create realistic mountains.
- Video games often implement fractal patterns for terrain generation.
- The fire effect in the movie was enhanced using fractal techniques.
Translations
Translations of the word "fractal" in other languages:
๐ต๐น fractal
๐ฎ๐ณ เคซเฅเคฐเฅเคเฅเคเคฒ
๐ฉ๐ช Fraktal
๐ฎ๐ฉ fraktal
๐บ๐ฆ ััะฐะบัะฐะป
๐ต๐ฑ fraktal
๐ฏ๐ต ใใฉใฏใฟใซ
๐ซ๐ท fractale
๐ช๐ธ fractal
๐น๐ท fraktal
๐ฐ๐ท ํ๋ํ
๐ธ๐ฆ ูุฑูุชุงู
๐จ๐ฟ fraktรกl
๐ธ๐ฐ fraktรกl
๐จ๐ณ ๅๅฝข
๐ธ๐ฎ fraktal
๐ฎ๐ธ fraktal
๐ฐ๐ฟ ััะฐะบัะฐะป
๐ฌ๐ช แคแ แแฅแขแแแ
๐ฆ๐ฟ fraktal
๐ฒ๐ฝ fractal
Etymology
The term 'fractal' was coined by the mathematician Benoรฎt Mandelbrot in 1975, derived from the Latin word 'fractus,' meaning 'broken' or 'fractured.' Fractals are mathematical sets that exhibit a repeating pattern at every scale and have been studied across various fields including mathematics, physics, and computer science. Prior to this, nature's complexity had often been described in terms of irregular shapes, which researchers tried to approximate using traditional geometry. Mandelbrot's work revolutionized this approach by introducing a new framework for understanding and visualizing these intricate structures. With advancements in computational technology, fractals have garnered significant attention in the realms of art, animation, and natural phenomena, showcasing the beauty of mathematics applied to real-world contexts.
Word Frequency Rank
With rank #19,601, this word belongs to specialized vocabulary. While not common in everyday speech, it enriches your ability to express complex ideas.
- ...
- 19598 impinge
- 19599 sublimation
- 19600 attendees
- 19601 fractal
- 19602 temporally
- 19603 unconcerned
- 19604 greased
- ...